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

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

		d	ρ	Label	ID
C₂²×C₅₄		216		C2^2xC54	216,24

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₄)⋊₁C₂ = D₄×C₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₄	108	2	(C2xC54):1C2	216,10
(C₂×C₅₄)⋊₂C₂ = C₂₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₄	108	2	(C2xC54):2C2	216,8
(C₂×C₅₄)⋊₃C₂ = C₂²×D₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₄	108		(C2xC54):3C2	216,23

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₅₄).C₂ = C₂×Dic₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₅₄	216		(C2xC54).C2	216,7

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