Extensions 1→N→G→Q→1 with N=Q₈×C₃×C₆ and Q=C₃

Direct product G=N×Q with N=Q₈×C₃×C₆ and Q=C₃

		d	ρ	Label	ID
Q₈×C₃²×C₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=Q₈×C₃×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃×C₆)⋊₁C₃ = C₂×Q₈⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):1C3	432,336
(Q₈×C₃×C₆)⋊₂C₃ = C₂×Q₈×He₃	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):2C3	432,407
(Q₈×C₃×C₆)⋊₃C₃ = C₃×C₆×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6):3C3	432,698

Non-split extensions G=N.Q with N=Q₈×C₃×C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃×C₆).₁C₃ = C₆×Q₈⋊C₉	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃×C₆	432		(Q8xC3xC6).1C3	432,334
(Q₈×C₃×C₆).₂C₃ = C₂×Q₈⋊3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6).2C3	432,335
(Q₈×C₃×C₆).₃C₃ = C₂×Q₈×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₃×C₆	144		(Q8xC3xC6).3C3	432,408
(Q₈×C₃×C₆).₄C₃ = Q₈×C₃×C₁₈	φ: trivial image	432		(Q8xC3xC6).4C3	432,406

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