Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2

Direct product G=NxQ with N=Dic5 and Q=C2
dρLabelID
C2xDic540C2xDic540,7

Semidirect products G=N:Q with N=Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5:C2 = C5:D4φ: C2/C1C2 ⊆ Out Dic5202Dic5:C240,8
Dic5:2C2 = C4xD5φ: trivial image202Dic5:2C240,5

Non-split extensions G=N.Q with N=Dic5 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic5.1C2 = Dic10φ: C2/C1C2 ⊆ Out Dic5402-Dic5.1C240,4
Dic5.2C2 = C5:C8φ: C2/C1C2 ⊆ Out Dic5404-Dic5.2C240,3

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