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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁C₅₄ = D₈×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₈	216	2	C8:1C54	432,25
C₈⋊₂C₅₄ = SD₁₆×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₈	216	2	C8:2C54	432,26
C₈⋊₃C₅₄ = M₄(2)×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₈	216	2	C8:3C54	432,24

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.C₅₄ = Q₁₆×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₈	432	2	C8.C54	432,27

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