Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄.₈D₄

Direct product G=N×Q with N=C₃ and Q=D₄.₈D₄

		d	ρ	Label	ID
C₃×D₄.₈D₄		48	4	C3xD4.8D4	192,887

Semidirect products G=N:Q with N=C₃ and Q=D₄.₈D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄.₈D₄) = D₁₂.₅D₄	φ: D₄.₈D₄/C₄.₁₀D₄ → C₂ ⊆ Aut C₃	48	8+	C3:1(D4.8D4)	192,312
C₃⋊₂(D₄.₈D₄) = D₄.₁₀D₁₂	φ: D₄.₈D₄/C₄≀C₂ → C₂ ⊆ Aut C₃	48	4	C3:2(D4.8D4)	192,386
C₃⋊₃(D₄.₈D₄) = D₁₂.₁₄D₄	φ: D₄.₈D₄/C₄.₄D₄ → C₂ ⊆ Aut C₃	48	4	C3:3(D4.8D4)	192,621
C₃⋊₄(D₄.₈D₄) = D₁₂.₃₈D₄	φ: D₄.₈D₄/C₈⋊C₂² → C₂ ⊆ Aut C₃	48	8-	C3:4(D4.8D4)	192,760
C₃⋊₅(D₄.₈D₄) = 2_-¹⁺⁴⋊₄S₃	φ: D₄.₈D₄/2_-¹⁺⁴ → C₂ ⊆ Aut C₃	48	8+	C3:5(D4.8D4)	192,804

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