Extensions 1→N→G→Q→1 with N=Dic55 and Q=C2

Direct product G=N×Q with N=Dic55 and Q=C2
dρLabelID
C2×Dic55440C2xDic55440,37

Semidirect products G=N:Q with N=Dic55 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic551C2 = C557D4φ: C2/C1C2 ⊆ Out Dic552202Dic55:1C2440,38
Dic552C2 = Dic5×D11φ: C2/C1C2 ⊆ Out Dic552204-Dic55:2C2440,17
Dic553C2 = D5×Dic11φ: C2/C1C2 ⊆ Out Dic552204-Dic55:3C2440,18
Dic554C2 = C55⋊D4φ: C2/C1C2 ⊆ Out Dic552204-Dic55:4C2440,20
Dic555C2 = C4×D55φ: trivial image2202Dic55:5C2440,35

Non-split extensions G=N.Q with N=Dic55 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic55.1C2 = Dic110φ: C2/C1C2 ⊆ Out Dic554402-Dic55.1C2440,34
Dic55.2C2 = C55⋊Q8φ: C2/C1C2 ⊆ Out Dic554404-Dic55.2C2440,23

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