Extensions 1→N→G→Q→1 with N=C₂⁵ and Q=C₂²

Direct product G=N×Q with N=C₂⁵ and Q=C₂²

		d	ρ	Label	ID
C₂⁷		128		C2^7	128,2328

Semidirect products G=N:Q with N=C₂⁵ and Q=C₂²

extension	φ:Q→Aut N	d	Label	ID
C₂⁵⋊₁C₂² = C₂⁴⋊₇D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5:1C2^2	128,1135
C₂⁵⋊₂C₂² = C₂⁵⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5:2C2^2	128,1411
C₂⁵⋊₃C₂² = C₂×C₂≀C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5:3C2^2	128,1755
C₂⁵⋊₄C₂² = C₂×C₂³⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5:4C2^2	128,2177
C₂⁵⋊₅C₂² = C₂×D₄²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5:5C2^2	128,2194
C₂⁵⋊₆C₂² = C₂².₇₃C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5:6C2^2	128,2216
C₂⁵⋊₇C₂² = C₂×C₂⁴⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5:7C2^2	128,2258
C₂⁵⋊₈C₂² = C₄²⋊C₂³	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5:8C2^2	128,2264
C₂⁵⋊₉C₂² = C₂²×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5:9C2^2	128,2323
C₂⁵⋊₁₀C₂² = C₂²×C₂²≀C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	32	C2^5:10C2^2	128,2163
C₂⁵⋊₁₁C₂² = D₄×C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5:11C2^2	128,2320

Non-split extensions G=N.Q with N=C₂⁵ and Q=C₂²

extension	φ:Q→Aut N	d	Label	ID
C₂⁵.₁C₂² = C₂⁴.₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5.1C2^2	128,36
C₂⁵.₂C₂² = C₂³⋊₂C₄²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.2C2^2	128,169
C₂⁵.₃C₂² = C₂⁴.₅₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.3C2^2	128,170
C₂⁵.₄C₂² = C₂⁴.₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.4C2^2	128,171
C₂⁵.₅C₂² = C₂⁴.₅₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.5C2^2	128,172
C₂⁵.₆C₂² = C₂×C₂³.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.6C2^2	128,471
C₂⁵.₇C₂² = C₂⁵⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5.7C2^2	128,513
C₂⁵.₈C₂² = C₂⁴.₆₈D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5.8C2^2	128,551
C₂⁵.₉C₂² = C₂⁵.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5.9C2^2	128,621
C₂⁵.₁₀C₂² = C₂⁴.₇₈D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5.10C2^2	128,630
C₂⁵.₁₁C₂² = C₂⁴⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5.11C2^2	128,753
C₂⁵.₁₂C₂² = C₂⁴⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5.12C2^2	128,761
C₂⁵.₁₃C₂² = C₂³⋊C₄²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.13C2^2	128,1005
C₂⁵.₁₄C₂² = C₂×C₂³.₂₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.14C2^2	128,1019
C₂⁵.₁₅C₂² = C₂×C₂⁴.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.15C2^2	128,1021
C₂⁵.₁₆C₂² = C₂×C₂⁴.₃C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.16C2^2	128,1024
C₂⁵.₁₇C₂² = C₂⁴.₉₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.17C2^2	128,1040
C₂⁵.₁₈C₂² = C₂³.₁₉₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.18C2^2	128,1041
C₂⁵.₁₉C₂² = C₂³.₁₉₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.19C2^2	128,1044
C₂⁵.₂₀C₂² = C₂⁴.₉₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.20C2^2	128,1047
C₂⁵.₂₁C₂² = C₂³.₂₀₃C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.21C2^2	128,1053
C₂⁵.₂₂C₂² = D₄×C₂²⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.22C2^2	128,1070
C₂⁵.₂₃C₂² = C₂³.₂₂₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.23C2^2	128,1074
C₂⁵.₂₄C₂² = C₂³.₂₄₀C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.24C2^2	128,1090
C₂⁵.₂₅C₂² = C₂³.₂₅₇C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.25C2^2	128,1107
C₂⁵.₂₆C₂² = C₂×C₂³⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.26C2^2	128,1116
C₂⁵.₂₇C₂² = C₂×C₂³⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.27C2^2	128,1117
C₂⁵.₂₈C₂² = C₂×C₂³.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.28C2^2	128,1118
C₂⁵.₂₉C₂² = C₂×C₂³.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.29C2^2	128,1121
C₂⁵.₃₀C₂² = C₂×C₂³.₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.30C2^2	128,1122
C₂⁵.₃₁C₂² = C₂×C₂³.₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.31C2^2	128,1125
C₂⁵.₃₂C₂² = C₂³.₃₀₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.32C2^2	128,1136
C₂⁵.₃₃C₂² = C₂⁴.₉₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.33C2^2	128,1137
C₂⁵.₃₄C₂² = C₂³.₃₀₈C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.34C2^2	128,1140
C₂⁵.₃₅C₂² = C₂⁴⋊₈D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.35C2^2	128,1142
C₂⁵.₃₆C₂² = C₂³.₃₁₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.36C2^2	128,1143
C₂⁵.₃₇C₂² = C₂⁴.₉₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.37C2^2	128,1144
C₂⁵.₃₈C₂² = C₂³.₃₁₈C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.38C2^2	128,1150
C₂⁵.₃₉C₂² = C₂³.₃₂₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.39C2^2	128,1156
C₂⁵.₄₀C₂² = C₂³.₃₃₃C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.40C2^2	128,1165
C₂⁵.₄₁C₂² = C₂³.₃₃₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.41C2^2	128,1167
C₂⁵.₄₂C₂² = C₂⁴⋊₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.42C2^2	128,1169
C₂⁵.₄₃C₂² = C₂³.₃₇₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.43C2^2	128,1204
C₂⁵.₄₄C₂² = C₂³.₃₈₀C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.44C2^2	128,1212
C₂⁵.₄₅C₂² = C₂³.₃₈₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.45C2^2	128,1214
C₂⁵.₄₆C₂² = C₂⁴.₉₆D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.46C2^2	128,1215
C₂⁵.₄₇C₂² = C₂³.₄₃₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.47C2^2	128,1266
C₂⁵.₄₈C₂² = C₂³.₄₃₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.48C2^2	128,1271
C₂⁵.₄₉C₂² = C₂³.₄₆₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.49C2^2	128,1293
C₂⁵.₅₀C₂² = C₂⁴⋊₉D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.50C2^2	128,1345
C₂⁵.₅₁C₂² = C₂⁴⋊₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.51C2^2	128,1349
C₂⁵.₅₂C₂² = C₂⁴.₉₇D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.52C2^2	128,1354
C₂⁵.₅₃C₂² = C₂⁴⋊₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.53C2^2	128,1358
C₂⁵.₅₄C₂² = C₂³.₅₆₈C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.54C2^2	128,1400
C₂⁵.₅₅C₂² = C₂³.₅₆₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.55C2^2	128,1401
C₂⁵.₅₆C₂² = C₂³.₅₇₀C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.56C2^2	128,1402
C₂⁵.₅₇C₂² = C₂³.₅₇₈C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.57C2^2	128,1410
C₂⁵.₅₈C₂² = C₂³.₅₈₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.58C2^2	128,1416
C₂⁵.₅₉C₂² = C₂³.₅₈₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.59C2^2	128,1417
C₂⁵.₆₀C₂² = C₂³.₅₉₇C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.60C2^2	128,1429
C₂⁵.₆₁C₂² = C₂³.₆₃₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.61C2^2	128,1467
C₂⁵.₆₂C₂² = C₂³.₆₃₆C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.62C2^2	128,1468
C₂⁵.₆₃C₂² = C₂⁴⋊₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.63C2^2	128,1544
C₂⁵.₆₄C₂² = C₂⁴⋊₆Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.64C2^2	128,1572
C₂⁵.₆₅C₂² = C₂⁴.₁₅Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.65C2^2	128,1574
C₂⁵.₆₆C₂² = C₂²×C₂³⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.66C2^2	128,1613
C₂⁵.₆₇C₂² = C₂×C₂².₁₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.67C2^2	128,2157
C₂⁵.₆₈C₂² = C₂²×C₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.68C2^2	128,2164
C₂⁵.₆₉C₂² = C₂²×C₂².D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.69C2^2	128,2166
C₂⁵.₇₀C₂² = C₂²×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.70C2^2	128,2168
C₂⁵.₇₁C₂² = C₂²×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.71C2^2	128,2170
C₂⁵.₇₂C₂² = C₂²×C₄⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	64	C2^5.72C2^2	128,2172
C₂⁵.₇₃C₂² = C₂×C₂².₂₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.73C2^2	128,2178
C₂⁵.₇₄C₂² = C₂×C₂².₃₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.74C2^2	128,2182
C₂⁵.₇₅C₂² = C₂×C₂³⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.75C2^2	128,2188
C₂⁵.₇₆C₂² = C₂×D₄⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.76C2^2	128,2195
C₂⁵.₇₇C₂² = C₂×C₂².₄₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.77C2^2	128,2201
C₂⁵.₇₈C₂² = C₂².₇₉C₂⁵	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	16	C2^5.78C2^2	128,2222
C₂⁵.₇₉C₂² = C₂×C₂².₅₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁵	32	C2^5.79C2^2	128,2257
C₂⁵.₈₀C₂² = C₂⁴.₁₇Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.80C2^2	128,165
C₂⁵.₈₁C₂² = C₂×C₄×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.81C2^2	128,1000
C₂⁵.₈₂C₂² = C₂×C₂⁴⋊₃C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	32	C2^5.82C2^2	128,1009
C₂⁵.₈₃C₂² = C₂×C₂³.₇Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.83C2^2	128,1010
C₂⁵.₈₄C₂² = C₂×C₂³.₃₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.84C2^2	128,1011
C₂⁵.₈₅C₂² = C₂⁵.₈₅C₂²	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	32	C2^5.85C2^2	128,1012
C₂⁵.₈₆C₂² = C₂×C₂³.₈Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.86C2^2	128,1018
C₂⁵.₈₇C₂² = C₄×C₂²≀C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	32	C2^5.87C2^2	128,1031
C₂⁵.₈₈C₂² = C₂³≀C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	16	C2^5.88C2^2	128,1578
C₂⁵.₈₉C₂² = C₂⁴⋊₁₃D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	32	C2^5.89C2^2	128,1579
C₂⁵.₉₀C₂² = C₂⁴⋊₈Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	32	C2^5.90C2^2	128,1580
C₂⁵.₉₁C₂² = C₂⁴.₁₆₆D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	32	C2^5.91C2^2	128,1581
C₂⁵.₉₂C₂² = C₂³×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.92C2^2	128,2151
C₂⁵.₉₃C₂² = C₂²×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.93C2^2	128,2153
C₂⁵.₉₄C₂² = D₄×C₂²×C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.94C2^2	128,2154
C₂⁵.₉₅C₂² = C₂²×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.95C2^2	128,2165
C₂⁵.₉₆C₂² = C₂×C₂².₁₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	32	C2^5.96C2^2	128,2167
C₂⁵.₉₇C₂² = C₂³×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁵	64	C2^5.97C2^2	128,2322
C₂⁵.₉₈C₂² = C₂²×C₂.C₄²	central extension (φ=1)	128	C2^5.98C2^2	128,998
C₂⁵.₉₉C₂² = C₂³×C₄⋊C₄	central extension (φ=1)	128	C2^5.99C2^2	128,2152
C₂⁵.₁₀₀C₂² = Q₈×C₂⁴	central extension (φ=1)	128	C2^5.100C2^2	128,2321

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Extensions 1→N→G→Q→1 with N=C25 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂⁵ and Q=C₂²