Extensions 1→N→G→Q→1 with N=C₃²×D₈ and Q=C₃

Direct product G=N×Q with N=C₃²×D₈ and Q=C₃

		d	ρ	Label	ID
D₈×C₃³		216		D8xC3^3	432,517

Semidirect products G=N:Q with N=C₃²×D₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₈)⋊C₃ = D₈×He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₈	72	6	(C3^2xD8):C3	432,216

Non-split extensions G=N.Q with N=C₃²×D₈ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃²×D₈).C₃ = D₈×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out C₃²×D₈	72	6	(C3^2xD8).C3	432,217
(C₃²×D₈).₂C₃ = D₈×C₃×C₉	φ: trivial image	216		(C3^2xD8).2C3	432,215

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Extensions 1→N→G→Q→1 with N=C32×D8 and Q=C3