Extensions 1→N→G→Q→1 with N=C₅ and Q=D₆.D₄

Direct product G=N×Q with N=C₅ and Q=D₆.D₄

		d	ρ	Label	ID
C₅×D₆.D₄		240		C5xD6.D4	480,773

Semidirect products G=N:Q with N=C₅ and Q=D₆.D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₆.D₄) = D₃₀.₆D₄	φ: D₆.D₄/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(D6.D4)	480,509
C₅⋊₂(D₆.D₄) = D₃₀.₃₅D₄	φ: D₆.D₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:2(D6.D4)	480,431
C₅⋊₃(D₆.D₄) = D₆.D₂₀	φ: D₆.D₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:3(D6.D4)	480,503
C₅⋊₄(D₆.D₄) = D₃₀.₇D₄	φ: D₆.D₄/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:4(D6.D4)	480,514
C₅⋊₅(D₆.D₄) = D₃₀.₂₉D₄	φ: D₆.D₄/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₅	240		C5:5(D6.D4)	480,859
C₅⋊₆(D₆.D₄) = D₆⋊Dic₅⋊C₂	φ: D₆.D₄/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:6(D6.D4)	480,427
C₅⋊₇(D₆.D₄) = (C₂×D₁₂).D₅	φ: D₆.D₄/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:7(D6.D4)	480,499

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