Extensions 1→N→G→Q→1 with N=C₂²×C₅₄ and Q=C₂

Direct product G=N×Q with N=C₂²×C₅₄ and Q=C₂

		d	ρ	Label	ID
C₂³×C₅₄		432		C2^3xC54	432,228

Semidirect products G=N:Q with N=C₂²×C₅₄ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₅₄)⋊₁C₂ = D₄×C₅₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₄	216	(C2^2xC54):1C2	432,54
(C₂²×C₅₄)⋊₂C₂ = C₂×C₂₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₄	216	(C2^2xC54):2C2	432,52
(C₂²×C₅₄)⋊₃C₂ = C₂³×D₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₄	216	(C2^2xC54):3C2	432,227

Non-split extensions G=N.Q with N=C₂²×C₅₄ and Q=C₂

extension	φ:Q→Aut N	d	Label	ID
(C₂²×C₅₄).₁C₂ = C₂²⋊C₄×C₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₄	216	(C2^2xC54).1C2	432,21
(C₂²×C₅₄).₂C₂ = C₅₄.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₄	216	(C2^2xC54).2C2	432,19
(C₂²×C₅₄).₃C₂ = C₂²×Dic₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₄	432	(C2^2xC54).3C2	432,51

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Extensions 1→N→G→Q→1 with N=C22×C54 and Q=C2