Extensions 1→N→G→Q→1 with N=C₃²⋊C₄ and Q=Q₈

Direct product G=N×Q with N=C₃²⋊C₄ and Q=Q₈

		d	ρ	Label	ID
Q₈×C₃²⋊C₄		48	8-	Q8xC3^2:C4	288,938

Semidirect products G=N:Q with N=C₃²⋊C₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄⋊₁Q₈ = C₃²⋊C₄⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out C₃²⋊C₄	48	8-	C3^2:C4:1Q8	288,870
C₃²⋊C₄⋊₂Q₈ = C₄⋊PSU₃(𝔽₂)	φ: Q₈/C₄ → C₂ ⊆ Out C₃²⋊C₄	36	8	C3^2:C4:2Q8	288,893

Non-split extensions G=N.Q with N=C₃²⋊C₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₄.Q₈ = F₉⋊C₄	φ: Q₈/C₂ → C₂² ⊆ Out C₃²⋊C₄	36	8	C3^2:C4.Q8	288,843
C₃²⋊C₄.₂Q₈ = C₄⋊F₉	φ: Q₈/C₄ → C₂ ⊆ Out C₃²⋊C₄	36	8	C3^2:C4.2Q8	288,864

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Extensions 1→N→G→Q→1 with N=C32⋊C4 and Q=Q8