Extensions 1→N→G→Q→1 with N=C4 and Q=C54

Direct product G=NxQ with N=C4 and Q=C54
dρLabelID
C2xC108216C2xC108216,9

Semidirect products G=N:Q with N=C4 and Q=C54
extensionφ:Q→Aut NdρLabelID
C4:C54 = D4xC27φ: C54/C27C2 ⊆ Aut C41082C4:C54216,10

Non-split extensions G=N.Q with N=C4 and Q=C54
extensionφ:Q→Aut NdρLabelID
C4.C54 = Q8xC27φ: C54/C27C2 ⊆ Aut C42162C4.C54216,11

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