Extensions 1→N→G→Q→1 with N=C₅₄ and Q=C₈

Direct product G=N×Q with N=C₅₄ and Q=C₈

		d	ρ	Label	ID
C₂×C₂₁₆		432		C2xC216	432,23

Semidirect products G=N:Q with N=C₅₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄⋊C₈ = C₂×C₂₇⋊C₈	φ: C₈/C₄ → C₂ ⊆ Aut C₅₄	432		C54:C8	432,9

Non-split extensions G=N.Q with N=C₅₄ and Q=C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅₄.C₈ = C₂₇⋊C₁₆	φ: C₈/C₄ → C₂ ⊆ Aut C₅₄	432	2	C54.C8	432,1

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Extensions 1→N→G→Q→1 with N=C54 and Q=C8