Extensions 1→N→G→Q→1 with N=Dic5 and Q=C3⋊S3

Direct product G=N×Q with N=Dic5 and Q=C3⋊S3
dρLabelID
C3⋊S3×Dic5180C3:S3xDic5360,66

Semidirect products G=N:Q with N=Dic5 and Q=C3⋊S3
extensionφ:Q→Out NdρLabelID
Dic5⋊(C3⋊S3) = C15⋊D12φ: C3⋊S3/C32C2 ⊆ Out Dic5180Dic5:(C3:S3)360,70
Dic52(C3⋊S3) = C30.D6φ: trivial image180Dic5:2(C3:S3)360,67

Non-split extensions G=N.Q with N=Dic5 and Q=C3⋊S3
extensionφ:Q→Out NdρLabelID
Dic5.1(C3⋊S3) = C15⋊Dic6φ: C3⋊S3/C32C2 ⊆ Out Dic5360Dic5.1(C3:S3)360,71
Dic5.2(C3⋊S3) = C30.Dic3φ: C3⋊S3/C32C2 ⊆ Out Dic5360Dic5.2(C3:S3)360,54

׿
×
𝔽