Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₂²

Direct product G=N×Q with N=C₂⁴ and Q=C₂²

		d	ρ	Label	ID
C₂⁶		64		C2^6	64,267

Semidirect products G=N:Q with N=C₂⁴ and Q=C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊₁C₂² = C₂≀C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	8	4+	C2^4:1C2^2	64,138
C₂⁴⋊₂C₂² = C₂³⋊₃D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16		C2^4:2C2^2	64,215
C₂⁴⋊₃C₂² = D₄²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16		C2^4:3C2^2	64,226
C₂⁴⋊₄C₂² = C₂⁴⋊C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16		C2^4:4C2^2	64,242
C₂⁴⋊₅C₂² = C₂×2₊¹⁺⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16		C2^4:5C2^2	64,264
C₂⁴⋊₆C₂² = C₂×C₂²≀C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	16		C2^4:6C2^2	64,202
C₂⁴⋊₇C₂² = D₄×C₂³	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32		C2^4:7C2^2	64,261

Non-split extensions G=N.Q with N=C₂⁴ and Q=C₂²

extension	φ:Q→Aut N	d	Label	ID
C₂⁴.₁C₂² = C₂³.₉D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16	C2^4.1C2^2	64,23
C₂⁴.₂C₂² = C₂⁴.C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.2C2^2	64,69
C₂⁴.₃C₂² = C₂⁴.₃C₂²	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.3C2^2	64,71
C₂⁴.₄C₂² = C₂³⋊₂D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.4C2^2	64,73
C₂⁴.₅C₂² = C₂³⋊Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.5C2^2	64,74
C₂⁴.₆C₂² = C₂³.₁₀D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.6C2^2	64,75
C₂⁴.₇C₂² = C₂³.Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.7C2^2	64,77
C₂⁴.₈C₂² = C₂³.₁₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.8C2^2	64,78
C₂⁴.₉C₂² = C₂³.₄Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.9C2^2	64,80
C₂⁴.₁₀C₂² = C₂×C₂³⋊C₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16	C2^4.10C2^2	64,90
C₂⁴.₁₁C₂² = C₂².₁₁C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16	C2^4.11C2^2	64,199
C₂⁴.₁₂C₂² = C₂×C₄⋊D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.12C2^2	64,203
C₂⁴.₁₃C₂² = C₂×C₄.₄D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.13C2^2	64,207
C₂⁴.₁₄C₂² = C₂×C₄²⋊₂C₂	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.14C2^2	64,209
C₂⁴.₁₅C₂² = C₂×C₄⋊₁D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	32	C2^4.15C2^2	64,211
C₂⁴.₁₆C₂² = C₂².₂₉C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16	C2^4.16C2^2	64,216
C₂⁴.₁₇C₂² = C₂².₃₂C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16	C2^4.17C2^2	64,219
C₂⁴.₁₈C₂² = C₂³⋊₂Q₈	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16	C2^4.18C2^2	64,224
C₂⁴.₁₉C₂² = D₄⋊₅D₄	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16	C2^4.19C2^2	64,227
C₂⁴.₂₀C₂² = C₂².₄₅C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16	C2^4.20C2^2	64,232
C₂⁴.₂₁C₂² = C₂².₅₄C₂⁴	φ: C₂²/C₁ → C₂² ⊆ Aut C₂⁴	16	C2^4.21C2^2	64,241
C₂⁴.₂₂C₂² = C₄×C₂²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.22C2^2	64,58
C₂⁴.₂₃C₂² = C₂⁴⋊₃C₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	16	C2^4.23C2^2	64,60
C₂⁴.₂₄C₂² = C₂³.₇Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.24C2^2	64,61
C₂⁴.₂₅C₂² = C₂³.₃₄D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.25C2^2	64,62
C₂⁴.₂₆C₂² = C₂³.₈Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.26C2^2	64,66
C₂⁴.₂₇C₂² = C₂³.₂₃D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.27C2^2	64,67
C₂⁴.₂₈C₂² = C₂×C₄²⋊C₂	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.28C2^2	64,195
C₂⁴.₂₉C₂² = C₂×C₄×D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.29C2^2	64,196
C₂⁴.₃₀C₂² = C₂×C₂²⋊Q₈	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.30C2^2	64,204
C₂⁴.₃₁C₂² = C₂×C₂².D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.31C2^2	64,205
C₂⁴.₃₂C₂² = C₂².₁₉C₂⁴	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	16	C2^4.32C2^2	64,206
C₂⁴.₃₃C₂² = C₂²×C₄○D₄	φ: C₂²/C₂ → C₂ ⊆ Aut C₂⁴	32	C2^4.33C2^2	64,263
C₂⁴.₃₄C₂² = C₂×C₂.C₄²	central extension (φ=1)	64	C2^4.34C2^2	64,56
C₂⁴.₃₅C₂² = C₂²×C₂²⋊C₄	central extension (φ=1)	32	C2^4.35C2^2	64,193
C₂⁴.₃₆C₂² = C₂²×C₄⋊C₄	central extension (φ=1)	64	C2^4.36C2^2	64,194
C₂⁴.₃₇C₂² = Q₈×C₂³	central extension (φ=1)	64	C2^4.37C2^2	64,262

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Extensions 1→N→G→Q→1 with N=C24 and Q=C22

Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=C₂²