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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₃²⋊C₄) = C₃⋊S₃.₅Q₁₆	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Out Q₈	48	8-	Q8:1(C3^2:C4)	288,432
Q₈⋊₂(C₃²⋊C₄) = C₃²⋊₇C₄≀C₂	φ: C₃²⋊C₄/C₃⋊S₃ → C₂ ⊆ Out Q₈	48	8+	Q8:2(C3^2:C4)	288,433

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃²⋊C₄) = C₁₂⋊S₃.C₄	φ: trivial image	48	8+	Q8.(C3^2:C4)	288,937

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