Extensions 1→N→G→Q→1 with N=C₂×C₅₄ and Q=C₄

Direct product G=N×Q with N=C₂×C₅₄ and Q=C₄

		d	ρ	Label	ID
C₂²×C₁₀₈		432		C2^2xC108	432,53

Semidirect products G=N:Q with N=C₂×C₅₄ and Q=C₄

extension	φ:Q→Aut N	d	Label	ID
(C₂×C₅₄)⋊₁C₄ = C₂²⋊C₄×C₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₄	216	(C2xC54):1C4	432,21
(C₂×C₅₄)⋊₂C₄ = C₅₄.D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₄	216	(C2xC54):2C4	432,19
(C₂×C₅₄)⋊₃C₄ = C₂²×Dic₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₄	432	(C2xC54):3C4	432,51

Non-split extensions G=N.Q with N=C₂×C₅₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₄).₁C₄ = M₄(2)×C₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₄	216	2	(C2xC54).1C4	432,24
(C₂×C₅₄).₂C₄ = C₂×C₂₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₄	432		(C2xC54).2C4	432,9
(C₂×C₅₄).₃C₄ = C₄.Dic₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂×C₅₄	216	2	(C2xC54).3C4	432,10

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Extensions 1→N→G→Q→1 with N=C2×C54 and Q=C4