Extensions 1→N→G→Q→1 with N=Dic5 and Q=C3xC6

Direct product G=NxQ with N=Dic5 and Q=C3xC6
dρLabelID
C3xC6xDic5360C3xC6xDic5360,93

Semidirect products G=N:Q with N=Dic5 and Q=C3xC6
extensionφ:Q→Out NdρLabelID
Dic5:(C3xC6) = C32xC5:D4φ: C3xC6/C32C2 ⊆ Out Dic5180Dic5:(C3xC6)360,94
Dic5:2(C3xC6) = D5xC3xC12φ: trivial image180Dic5:2(C3xC6)360,91

Non-split extensions G=N.Q with N=Dic5 and Q=C3xC6
extensionφ:Q→Out NdρLabelID
Dic5.1(C3xC6) = C32xDic10φ: C3xC6/C32C2 ⊆ Out Dic5360Dic5.1(C3xC6)360,90
Dic5.2(C3xC6) = C32xC5:C8φ: C3xC6/C32C2 ⊆ Out Dic5360Dic5.2(C3xC6)360,52

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