Extensions 1→N→G→Q→1 with N=C2xC22:A4 and Q=C2

Direct product G=NxQ with N=C2xC22:A4 and Q=C2
dρLabelID
C22xC22:A412C2^2xC2^2:A4192,1540

Semidirect products G=N:Q with N=C2xC22:A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC22:A4):1C2 = C2xC24:C6φ: C2/C1C2 ⊆ Out C2xC22:A4126+(C2xC2^2:A4):1C2192,1000
(C2xC22:A4):2C2 = C2xC22:S4φ: C2/C1C2 ⊆ Out C2xC22:A4126+(C2xC2^2:A4):2C2192,1538

Non-split extensions G=N.Q with N=C2xC22:A4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xC22:A4).1C2 = C24:C12φ: C2/C1C2 ⊆ Out C2xC22:A4126+(C2xC2^2:A4).1C2192,191
(C2xC22:A4).2C2 = C24:4Dic3φ: C2/C1C2 ⊆ Out C2xC22:A4126+(C2xC2^2:A4).2C2192,1495
(C2xC22:A4).3C2 = C4xC22:A4φ: trivial image24(C2xC2^2:A4).3C2192,1505

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