Extensions 1→N→G→Q→1 with N=C₃×C₅₄ and Q=C₂

Direct product G=N×Q with N=C₃×C₅₄ and Q=C₂

		d	ρ	Label	ID
C₆×C₅₄		324		C6xC54	324,84

Semidirect products G=N:Q with N=C₃×C₅₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₅₄)⋊₁C₂ = S₃×C₅₄	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₅₄	108	2	(C3xC54):1C2	324,66
(C₃×C₅₄)⋊₂C₂ = C₆×D₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₅₄	108	2	(C3xC54):2C2	324,65
(C₃×C₅₄)⋊₃C₂ = C₂×C₂₇⋊S₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₅₄	162		(C3xC54):3C2	324,76

Non-split extensions G=N.Q with N=C₃×C₅₄ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₅₄).₁C₂ = Dic₃×C₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₅₄	108	2	(C3xC54).1C2	324,11
(C₃×C₅₄).₂C₂ = C₃×Dic₂₇	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₅₄	108	2	(C3xC54).2C2	324,10
(C₃×C₅₄).₃C₂ = C₂₇⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₅₄	324		(C3xC54).3C2	324,21

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Extensions 1→N→G→Q→1 with N=C3×C54 and Q=C2