Extensions 1→N→G→Q→1 with N=Dic5 and Q=C3×C6

Direct product G=N×Q with N=Dic5 and Q=C3×C6
dρLabelID
C3×C6×Dic5360C3xC6xDic5360,93

Semidirect products G=N:Q with N=Dic5 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
Dic5⋊(C3×C6) = C32×C5⋊D4φ: C3×C6/C32C2 ⊆ Out Dic5180Dic5:(C3xC6)360,94
Dic52(C3×C6) = D5×C3×C12φ: trivial image180Dic5:2(C3xC6)360,91

Non-split extensions G=N.Q with N=Dic5 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
Dic5.1(C3×C6) = C32×Dic10φ: C3×C6/C32C2 ⊆ Out Dic5360Dic5.1(C3xC6)360,90
Dic5.2(C3×C6) = C32×C5⋊C8φ: C3×C6/C32C2 ⊆ Out Dic5360Dic5.2(C3xC6)360,52

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