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

Direct product G=N×Q with N=C2×C22 and Q=C2
dρLabelID
C22×C2288C2^2xC2288,12

Semidirect products G=N:Q with N=C2×C22 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C22)⋊1C2 = D4×C11φ: C2/C1C2 ⊆ Aut C2×C22442(C2xC22):1C288,9
(C2×C22)⋊2C2 = C11⋊D4φ: C2/C1C2 ⊆ Aut C2×C22442(C2xC22):2C288,7
(C2×C22)⋊3C2 = C22×D11φ: C2/C1C2 ⊆ Aut C2×C2244(C2xC22):3C288,11

Non-split extensions G=N.Q with N=C2×C22 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C2×C22).C2 = C2×Dic11φ: C2/C1C2 ⊆ Aut C2×C2288(C2xC22).C288,6

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