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

Direct product G=N×Q with N=C6 and Q=Dic5
dρLabelID
C6×Dic5120C6xDic5120,19

Semidirect products G=N:Q with N=C6 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C6⋊Dic5 = C2×Dic15φ: Dic5/C10C2 ⊆ Aut C6120C6:Dic5120,29

Non-split extensions G=N.Q with N=C6 and Q=Dic5
extensionφ:Q→Aut NdρLabelID
C6.Dic5 = C153C8φ: Dic5/C10C2 ⊆ Aut C61202C6.Dic5120,3
C6.2Dic5 = C3×C52C8central extension (φ=1)1202C6.2Dic5120,2

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