Extensions 1→N→G→Q→1 with N=Dic5 and Q=C10

Direct product G=NxQ with N=Dic5 and Q=C10
dρLabelID
C10xDic540C10xDic5200,30

Semidirect products G=N:Q with N=Dic5 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic5:C10 = C5xC5:D4φ: C10/C5C2 ⊆ Out Dic5202Dic5:C10200,31
Dic5:2C10 = D5xC20φ: trivial image402Dic5:2C10200,28

Non-split extensions G=N.Q with N=Dic5 and Q=C10
extensionφ:Q→Out NdρLabelID
Dic5.1C10 = C5xDic10φ: C10/C5C2 ⊆ Out Dic5402Dic5.1C10200,27
Dic5.2C10 = C5xC5:C8φ: C10/C5C2 ⊆ Out Dic5404Dic5.2C10200,18

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