Extensions 1→N→G→Q→1 with N=Dic45 and Q=C2

Direct product G=N×Q with N=Dic45 and Q=C2
dρLabelID
C2×Dic45360C2xDic45360,28

Semidirect products G=N:Q with N=Dic45 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic451C2 = C457D4φ: C2/C1C2 ⊆ Out Dic451802Dic45:1C2360,29
Dic452C2 = D9×Dic5φ: C2/C1C2 ⊆ Out Dic451804-Dic45:2C2360,8
Dic453C2 = D5×Dic9φ: C2/C1C2 ⊆ Out Dic451804-Dic45:3C2360,11
Dic454C2 = C45⋊D4φ: C2/C1C2 ⊆ Out Dic451804-Dic45:4C2360,12
Dic455C2 = C4×D45φ: trivial image1802Dic45:5C2360,26

Non-split extensions G=N.Q with N=Dic45 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic45.1C2 = Dic90φ: C2/C1C2 ⊆ Out Dic453602-Dic45.1C2360,25
Dic45.2C2 = C45⋊Q8φ: C2/C1C2 ⊆ Out Dic453604-Dic45.2C2360,7

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