Extensions 1→N→G→Q→1 with N=C6 and Q=C54

Direct product G=N×Q with N=C6 and Q=C54
dρLabelID
C6×C54324C6xC54324,84

Semidirect products G=N:Q with N=C6 and Q=C54
extensionφ:Q→Aut NdρLabelID
C6⋊C54 = S3×C54φ: C54/C27C2 ⊆ Aut C61082C6:C54324,66

Non-split extensions G=N.Q with N=C6 and Q=C54
extensionφ:Q→Aut NdρLabelID
C6.C54 = Dic3×C27φ: C54/C27C2 ⊆ Aut C61082C6.C54324,11

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