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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁C₅₄ = C₂²⋊C₄×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₂×C₄	216		(C2xC4):1C54	432,21
(C₂×C₄)⋊₂C₅₄ = D₄×C₅₄	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₂×C₄	216		(C2xC4):2C54	432,54
(C₂×C₄)⋊₃C₅₄ = C₄○D₄×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₂×C₄	216	2	(C2xC4):3C54	432,56

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁C₅₄ = C₄⋊C₄×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₂×C₄	432		(C2xC4).1C54	432,22
(C₂×C₄).₂C₅₄ = M₄(2)×C₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₂×C₄	216	2	(C2xC4).2C54	432,24
(C₂×C₄).₃C₅₄ = Q₈×C₅₄	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₂×C₄	432		(C2xC4).3C54	432,55

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