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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×C4

Direct product G=N×Q with N=C22 and Q=C2×C4
dρLabelID
C22×C44176C2^2xC44176,37

Semidirect products G=N:Q with N=C22 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×C4) = C2×C4×D11φ: C2×C4/C4 → C2 ⊆ Aut C2288C22:1(C2xC4)176,28
C22⋊2(C2×C4) = C22×Dic11φ: C2×C4/C22 → C2 ⊆ Aut C22176C22:2(C2xC4)176,35

Non-split extensions G=N.Q with N=C22 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C22.1(C2×C4) = C8×D11φ: C2×C4/C4 → C2 ⊆ Aut C22882C22.1(C2xC4)176,3
C22.2(C2×C4) = C88⋊C2φ: C2×C4/C4 → C2 ⊆ Aut C22882C22.2(C2xC4)176,4
C22.3(C2×C4) = C4×Dic11φ: C2×C4/C4 → C2 ⊆ Aut C22176C22.3(C2xC4)176,10
C22.4(C2×C4) = Dic11⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C22176C22.4(C2xC4)176,11
C22.5(C2×C4) = D22⋊C4φ: C2×C4/C4 → C2 ⊆ Aut C2288C22.5(C2xC4)176,13
C22.6(C2×C4) = C2×C11⋊C8φ: C2×C4/C22 → C2 ⊆ Aut C22176C22.6(C2xC4)176,8
C22.7(C2×C4) = C44.C4φ: C2×C4/C22 → C2 ⊆ Aut C22882C22.7(C2xC4)176,9
C22.8(C2×C4) = C44⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C22176C22.8(C2xC4)176,12
C22.9(C2×C4) = C23.D11φ: C2×C4/C22 → C2 ⊆ Aut C2288C22.9(C2xC4)176,18
C22.10(C2×C4) = C11×C22⋊C4central extension (φ=1)88C22.10(C2xC4)176,20
C22.11(C2×C4) = C11×C4⋊C4central extension (φ=1)176C22.11(C2xC4)176,21
C22.12(C2×C4) = C11×M4(2)central extension (φ=1)882C22.12(C2xC4)176,23

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