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

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

Semidirect products G=N:Q with N=C2×C22 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C22)⋊1C4 = C11×C22⋊C4φ: C4/C2C2 ⊆ Aut C2×C2288(C2xC22):1C4176,20
(C2×C22)⋊2C4 = C23.D11φ: C4/C2C2 ⊆ Aut C2×C2288(C2xC22):2C4176,18
(C2×C22)⋊3C4 = C22×Dic11φ: C4/C2C2 ⊆ Aut C2×C22176(C2xC22):3C4176,35

Non-split extensions G=N.Q with N=C2×C22 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2×C22).1C4 = C11×M4(2)φ: C4/C2C2 ⊆ Aut C2×C22882(C2xC22).1C4176,23
(C2×C22).2C4 = C2×C11⋊C8φ: C4/C2C2 ⊆ Aut C2×C22176(C2xC22).2C4176,8
(C2×C22).3C4 = C44.C4φ: C4/C2C2 ⊆ Aut C2×C22882(C2xC22).3C4176,9

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