Extensions 1→N→G→Q→1 with N=C2xC22 and Q=C4

Direct product G=NxQ with N=C2xC22 and Q=C4
dρLabelID
C22xC44176C2^2xC44176,37

Semidirect products G=N:Q with N=C2xC22 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2xC22):1C4 = C11xC22:C4φ: C4/C2C2 ⊆ Aut C2xC2288(C2xC22):1C4176,20
(C2xC22):2C4 = C23.D11φ: C4/C2C2 ⊆ Aut C2xC2288(C2xC22):2C4176,18
(C2xC22):3C4 = C22xDic11φ: C4/C2C2 ⊆ Aut C2xC22176(C2xC22):3C4176,35

Non-split extensions G=N.Q with N=C2xC22 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C2xC22).1C4 = C11xM4(2)φ: C4/C2C2 ⊆ Aut C2xC22882(C2xC22).1C4176,23
(C2xC22).2C4 = C2xC11:C8φ: C4/C2C2 ⊆ Aut C2xC22176(C2xC22).2C4176,8
(C2xC22).3C4 = C44.C4φ: C4/C2C2 ⊆ Aut C2xC22882(C2xC22).3C4176,9

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