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Extensions 1→N→G→Q→1 with N=C22 and Q=C4○D4

Direct product G=N×Q with N=C22 and Q=C4○D4
dρLabelID
C4○D4×C22176C4oD4xC22352,191

Semidirect products G=N:Q with N=C22 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C4○D4) = C2×D44⋊5C2φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22:1(C4oD4)352,176
C22⋊2(C4○D4) = C2×D4⋊2D11φ: C4○D4/D4 → C2 ⊆ Aut C22176C22:2(C4oD4)352,178
C22⋊3(C4○D4) = C2×D44⋊C2φ: C4○D4/Q8 → C2 ⊆ Aut C22176C22:3(C4oD4)352,181

Non-split extensions G=N.Q with N=C22 and Q=C4○D4
extensionφ:Q→Aut NdρLabelID
C22.1(C4○D4) = C4×Dic22φ: C4○D4/C2×C4 → C2 ⊆ Aut C22352C22.1(C4oD4)352,63
C22.2(C4○D4) = C44.6Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C22352C22.2(C4oD4)352,65
C22.3(C4○D4) = C42⋊D11φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.3(C4oD4)352,67
C22.4(C4○D4) = C4×D44φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.4(C4oD4)352,68
C22.5(C4○D4) = C4.D44φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.5(C4oD4)352,70
C22.6(C4○D4) = C42⋊2D11φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.6(C4oD4)352,71
C22.7(C4○D4) = C23.D22φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.7(C4oD4)352,74
C22.8(C4○D4) = D22.D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.8(C4oD4)352,78
C22.9(C4○D4) = D22⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.9(C4oD4)352,79
C22.10(C4○D4) = Dic11.D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.10(C4oD4)352,80
C22.11(C4○D4) = Dic11.Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C22352C22.11(C4oD4)352,84
C22.12(C4○D4) = D22.5D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.12(C4oD4)352,89
C22.13(C4○D4) = D22⋊Q8φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.13(C4oD4)352,91
C22.14(C4○D4) = C4⋊C4⋊D11φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.14(C4oD4)352,93
C22.15(C4○D4) = C44.48D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.15(C4oD4)352,119
C22.16(C4○D4) = C23.21D22φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.16(C4oD4)352,121
C22.17(C4○D4) = C4×C11⋊D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.17(C4oD4)352,123
C22.18(C4○D4) = C23.23D22φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.18(C4oD4)352,124
C22.19(C4○D4) = C44⋊7D4φ: C4○D4/C2×C4 → C2 ⊆ Aut C22176C22.19(C4oD4)352,125
C22.20(C4○D4) = C23.11D22φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.20(C4oD4)352,72
C22.21(C4○D4) = C22⋊Dic22φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.21(C4oD4)352,73
C22.22(C4○D4) = Dic11⋊4D4φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.22(C4oD4)352,76
C22.23(C4○D4) = C22.D44φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.23(C4oD4)352,81
C22.24(C4○D4) = Dic22⋊C4φ: C4○D4/D4 → C2 ⊆ Aut C22352C22.24(C4oD4)352,82
C22.25(C4○D4) = C44.3Q8φ: C4○D4/D4 → C2 ⊆ Aut C22352C22.25(C4oD4)352,85
C22.26(C4○D4) = C4⋊C4⋊7D11φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.26(C4oD4)352,87
C22.27(C4○D4) = D22⋊2Q8φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.27(C4oD4)352,92
C22.28(C4○D4) = D4×Dic11φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.28(C4oD4)352,129
C22.29(C4○D4) = C23.18D22φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.29(C4oD4)352,130
C22.30(C4○D4) = C44.17D4φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.30(C4oD4)352,131
C22.31(C4○D4) = C44⋊2D4φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.31(C4oD4)352,133
C22.32(C4○D4) = Dic11⋊D4φ: C4○D4/D4 → C2 ⊆ Aut C22176C22.32(C4oD4)352,134
C22.33(C4○D4) = D44⋊C4φ: C4○D4/Q8 → C2 ⊆ Aut C22176C22.33(C4oD4)352,88
C22.34(C4○D4) = C4⋊2D44φ: C4○D4/Q8 → C2 ⊆ Aut C22176C22.34(C4oD4)352,90
C22.35(C4○D4) = Q8×Dic11φ: C4○D4/Q8 → C2 ⊆ Aut C22352C22.35(C4oD4)352,140
C22.36(C4○D4) = D22⋊3Q8φ: C4○D4/Q8 → C2 ⊆ Aut C22176C22.36(C4oD4)352,141
C22.37(C4○D4) = C44.23D4φ: C4○D4/Q8 → C2 ⊆ Aut C22176C22.37(C4oD4)352,142
C22.38(C4○D4) = C11×C42⋊C2central extension (φ=1)176C22.38(C4oD4)352,152
C22.39(C4○D4) = D4×C44central extension (φ=1)176C22.39(C4oD4)352,153
C22.40(C4○D4) = Q8×C44central extension (φ=1)352C22.40(C4oD4)352,154
C22.41(C4○D4) = C11×C4⋊D4central extension (φ=1)176C22.41(C4oD4)352,156
C22.42(C4○D4) = C11×C22⋊Q8central extension (φ=1)176C22.42(C4oD4)352,157
C22.43(C4○D4) = C11×C22.D4central extension (φ=1)176C22.43(C4oD4)352,158
C22.44(C4○D4) = C11×C4.4D4central extension (φ=1)176C22.44(C4oD4)352,159
C22.45(C4○D4) = C11×C42.C2central extension (φ=1)352C22.45(C4oD4)352,160
C22.46(C4○D4) = C11×C42⋊2C2central extension (φ=1)176C22.46(C4oD4)352,161

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