Extensions 1→N→G→Q→1 with N=C₃ and Q=D₁₀⋊₂Q₈

Direct product G=N×Q with N=C₃ and Q=D₁₀⋊₂Q₈

		d	ρ	Label	ID
C₃×D₁₀⋊₂Q₈		240		C3xD10:2Q8	480,690

Semidirect products G=N:Q with N=C₃ and Q=D₁₀⋊₂Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₁₀⋊₂Q₈) = D₃₀⋊₄Q₈	φ: D₁₀⋊₂Q₈/C₄⋊Dic₅ → C₂ ⊆ Aut C₃	240		C3:1(D10:2Q8)	480,505
C₃⋊₂(D₁₀⋊₂Q₈) = D₁₀⋊₂Dic₆	φ: D₁₀⋊₂Q₈/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(D10:2Q8)	480,498
C₃⋊₃(D₁₀⋊₂Q₈) = D₃₀⋊₆Q₈	φ: D₁₀⋊₂Q₈/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(D10:2Q8)	480,862
C₃⋊₄(D₁₀⋊₂Q₈) = D₃₀⋊₁₀Q₈	φ: D₁₀⋊₂Q₈/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	240		C3:4(D10:2Q8)	480,466
C₃⋊₅(D₁₀⋊₂Q₈) = C₆₀.₆₈D₄	φ: D₁₀⋊₂Q₈/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:5(D10:2Q8)	480,436

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