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

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

		d	ρ	Label	ID
C₃×D₁₀⋊Q₈		240		C3xD10:Q8	480,689

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₁₀⋊Q₈) = D₃₀⋊₈Q₈	φ: D₁₀⋊Q₈/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:1(D10:Q8)	480,453
C₃⋊₂(D₁₀⋊Q₈) = D₃₀⋊₂Q₈	φ: D₁₀⋊Q₈/C₁₀.D₄ → C₂ ⊆ Aut C₃	240		C3:2(D10:Q8)	480,495
C₃⋊₃(D₁₀⋊Q₈) = Dic₁₅.D₄	φ: D₁₀⋊Q₈/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(D10:Q8)	480,506
C₃⋊₄(D₁₀⋊Q₈) = D₁₀⋊₄Dic₆	φ: D₁₀⋊Q₈/D₁₀⋊C₄ → C₂ ⊆ Aut C₃	240		C3:4(D10:Q8)	480,507
C₃⋊₅(D₁₀⋊Q₈) = D₃₀⋊₅Q₈	φ: D₁₀⋊Q₈/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:5(D10:Q8)	480,861
C₃⋊₆(D₁₀⋊Q₈) = D₃₀⋊Q₈	φ: D₁₀⋊Q₈/C₂×Dic₁₀ → C₂ ⊆ Aut C₃	240		C3:6(D10:Q8)	480,487
C₃⋊₇(D₁₀⋊Q₈) = D₁₀⋊Dic₆	φ: D₁₀⋊Q₈/C₂×C₄×D₅ → C₂ ⊆ Aut C₃	240		C3:7(D10:Q8)	480,425

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