Extensions 1→N→G→Q→1 with N=Dic47 and Q=C2

Direct product G=NxQ with N=Dic47 and Q=C2
dρLabelID
C2xDic47376C2xDic47376,6

Semidirect products G=N:Q with N=Dic47 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic47:C2 = C47:D4φ: C2/C1C2 ⊆ Out Dic471882Dic47:C2376,7
Dic47:2C2 = C4xD47φ: trivial image1882Dic47:2C2376,4

Non-split extensions G=N.Q with N=Dic47 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic47.C2 = Dic94φ: C2/C1C2 ⊆ Out Dic473762-Dic47.C2376,3

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