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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×Q8

Direct product G=N×Q with N=C22 and Q=C2×Q8
dρLabelID
Q8×C2×C22352Q8xC2xC22352,190

Semidirect products G=N:Q with N=C22 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×Q8) = C22×Dic22φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22352C22:1(C2xQ8)352,173
C22⋊2(C2×Q8) = C2×Q8×D11φ: C2×Q8/Q8 → C2 ⊆ Aut C22176C22:2(C2xQ8)352,180

Non-split extensions G=N.Q with N=C22 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C22.1(C2×Q8) = C4×Dic22φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22352C22.1(C2xQ8)352,63
C22.2(C2×Q8) = C44⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22352C22.2(C2xQ8)352,64
C22.3(C2×Q8) = C44.6Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22352C22.3(C2xQ8)352,65
C22.4(C2×Q8) = C22⋊Dic22φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22176C22.4(C2xQ8)352,73
C22.5(C2×Q8) = C44⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22352C22.5(C2xQ8)352,83
C22.6(C2×Q8) = C44.3Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22352C22.6(C2xQ8)352,85
C22.7(C2×Q8) = C2×Dic11⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22352C22.7(C2xQ8)352,118
C22.8(C2×Q8) = C44.48D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22176C22.8(C2xQ8)352,119
C22.9(C2×Q8) = C2×C44⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C22352C22.9(C2xQ8)352,120
C22.10(C2×Q8) = Dic22⋊C4φ: C2×Q8/Q8 → C2 ⊆ Aut C22352C22.10(C2xQ8)352,82
C22.11(C2×Q8) = Dic11.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C22352C22.11(C2xQ8)352,84
C22.12(C2×Q8) = C4⋊C4×D11φ: C2×Q8/Q8 → C2 ⊆ Aut C22176C22.12(C2xQ8)352,86
C22.13(C2×Q8) = D22⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C22176C22.13(C2xQ8)352,91
C22.14(C2×Q8) = D22⋊2Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C22176C22.14(C2xQ8)352,92
C22.15(C2×Q8) = Dic11⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C22352C22.15(C2xQ8)352,139
C22.16(C2×Q8) = Q8×Dic11φ: C2×Q8/Q8 → C2 ⊆ Aut C22352C22.16(C2xQ8)352,140
C22.17(C2×Q8) = D22⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C22176C22.17(C2xQ8)352,141
C22.18(C2×Q8) = C4⋊C4×C22central extension (φ=1)352C22.18(C2xQ8)352,151
C22.19(C2×Q8) = Q8×C44central extension (φ=1)352C22.19(C2xQ8)352,154
C22.20(C2×Q8) = C11×C22⋊Q8central extension (φ=1)176C22.20(C2xQ8)352,157
C22.21(C2×Q8) = C11×C42.C2central extension (φ=1)352C22.21(C2xQ8)352,160
C22.22(C2×Q8) = C11×C4⋊Q8central extension (φ=1)352C22.22(C2xQ8)352,163

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