Extensions 1→N→G→Q→1 with N=Dic25 and Q=C2

Direct product G=N×Q with N=Dic25 and Q=C2
dρLabelID
C2×Dic25200C2xDic25200,7

Semidirect products G=N:Q with N=Dic25 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic25⋊C2 = C25⋊D4φ: C2/C1C2 ⊆ Out Dic251002Dic25:C2200,8
Dic252C2 = C4×D25φ: trivial image1002Dic25:2C2200,5

Non-split extensions G=N.Q with N=Dic25 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic25.1C2 = Dic50φ: C2/C1C2 ⊆ Out Dic252002-Dic25.1C2200,4
Dic25.2C2 = C25⋊C8φ: C2/C1C2 ⊆ Out Dic252004-Dic25.2C2200,3

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