Extensions 1→N→G→Q→1 with N=Dic29 and Q=C2

Direct product G=NxQ with N=Dic29 and Q=C2
dρLabelID
C2xDic29232C2xDic29232,7

Semidirect products G=N:Q with N=Dic29 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic29:C2 = C29:D4φ: C2/C1C2 ⊆ Out Dic291162Dic29:C2232,8
Dic29:2C2 = C4xD29φ: trivial image1162Dic29:2C2232,5

Non-split extensions G=N.Q with N=Dic29 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic29.1C2 = Dic58φ: C2/C1C2 ⊆ Out Dic292322-Dic29.1C2232,4
Dic29.2C2 = C29:C8φ: C2/C1C2 ⊆ Out Dic292324-Dic29.2C2232,3

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