Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅₄

Direct product G=N×Q with N=C₃ and Q=D₅₄

		d	ρ	Label	ID
C₆×D₂₇		108	2	C6xD27	324,65

Semidirect products G=N:Q with N=C₃ and Q=D₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁D₅₄ = S₃×D₂₇	φ: D₅₄/D₂₇ → C₂ ⊆ Aut C₃	54	4+	C3:1D54	324,38
C₃⋊₂D₅₄ = C₂×C₂₇⋊S₃	φ: D₅₄/C₅₄ → C₂ ⊆ Aut C₃	162		C3:2D54	324,76

Non-split extensions G=N.Q with N=C₃ and Q=D₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.D₅₄ = D₁₆₂	φ: D₅₄/C₅₄ → C₂ ⊆ Aut C₃	162	2+	C3.D54	324,4

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Extensions 1→N→G→Q→1 with N=C3 and Q=D54