Extensions 1→N→G→Q→1 with N=C₅ and Q=D₆⋊₃Q₈

Direct product G=N×Q with N=C₅ and Q=D₆⋊₃Q₈

		d	ρ	Label	ID
C₅×D₆⋊₃Q₈		240		C5xD6:3Q8	480,825

Semidirect products G=N:Q with N=C₅ and Q=D₆⋊₃Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₆⋊₃Q₈) = D₃₀⋊Q₈	φ: D₆⋊₃Q₈/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(D6:3Q8)	480,487
C₅⋊₂(D₆⋊₃Q₈) = D₃₀⋊₁₀Q₈	φ: D₆⋊₃Q₈/C₄⋊Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(D6:3Q8)	480,466
C₅⋊₃(D₆⋊₃Q₈) = D₆⋊₁Dic₁₀	φ: D₆⋊₃Q₈/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(D6:3Q8)	480,486
C₅⋊₄(D₆⋊₃Q₈) = C₆₀.₄₆D₄	φ: D₆⋊₃Q₈/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:4(D6:3Q8)	480,445
C₅⋊₅(D₆⋊₃Q₈) = D₃₀⋊₇Q₈	φ: D₆⋊₃Q₈/C₆×Q₈ → C₂ ⊆ Aut C₅	240		C5:5(D6:3Q8)	480,911

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