Extensions 1→N→G→Q→1 with N=C6 and Q=C12

Direct product G=NxQ with N=C6 and Q=C12
dρLabelID
C6xC1272C6xC1272,36

Semidirect products G=N:Q with N=C6 and Q=C12
extensionφ:Q→Aut NdρLabelID
C6:C12 = C6xDic3φ: C12/C6C2 ⊆ Aut C624C6:C1272,29

Non-split extensions G=N.Q with N=C6 and Q=C12
extensionφ:Q→Aut NdρLabelID
C6.C12 = C3xC3:C8φ: C12/C6C2 ⊆ Aut C6242C6.C1272,12

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