Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×C₂²⋊Q₈

Direct product G=N×Q with N=C₃ and Q=C₅×C₂²⋊Q₈

		d	ρ	Label	ID
C₁₅×C₂²⋊Q₈		240		C15xC2^2:Q8	480,927

Semidirect products G=N:Q with N=C₃ and Q=C₅×C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅×C₂²⋊Q₈) = C₅×Dic₃.D₄	φ: C₅×C₂²⋊Q₈/C₅×C₂²⋊C₄ → C₂ ⊆ Aut C₃	240		C3:1(C5xC2^2:Q8)	480,757
C₃⋊₂(C₅×C₂²⋊Q₈) = C₅×D₆⋊Q₈	φ: C₅×C₂²⋊Q₈/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:2(C5xC2^2:Q8)	480,775
C₃⋊₃(C₅×C₂²⋊Q₈) = C₅×C₄.D₁₂	φ: C₅×C₂²⋊Q₈/C₅×C₄⋊C₄ → C₂ ⊆ Aut C₃	240		C3:3(C5xC2^2:Q8)	480,776
C₃⋊₄(C₅×C₂²⋊Q₈) = C₅×C₁₂.₄₈D₄	φ: C₅×C₂²⋊Q₈/C₂²×C₂₀ → C₂ ⊆ Aut C₃	240		C3:4(C5xC2^2:Q8)	480,803
C₃⋊₅(C₅×C₂²⋊Q₈) = C₅×D₆⋊₃Q₈	φ: C₅×C₂²⋊Q₈/Q₈×C₁₀ → C₂ ⊆ Aut C₃	240		C3:5(C5xC2^2:Q8)	480,825

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