Extensions 1→N→G→Q→1 with N=C₅ and Q=D₆⋊C₈

Direct product G=N×Q with N=C₅ and Q=D₆⋊C₈

		d	ρ	Label	ID
C₅×D₆⋊C₈		240		C5xD6:C8	480,139

Semidirect products G=N:Q with N=C₅ and Q=D₆⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₆⋊C₈) = D₃₀⋊C₈	φ: D₆⋊C₈/C₂×Dic₃ → C₄ ⊆ Aut C₅	240		C5:1(D6:C8)	480,247
C₅⋊₂(D₆⋊C₈) = Dic₅.₂₂D₁₂	φ: D₆⋊C₈/C₂²×S₃ → C₄ ⊆ Aut C₅	240		C5:2(D6:C8)	480,246
C₅⋊₃(D₆⋊C₈) = D₃₀⋊₄C₈	φ: D₆⋊C₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₅	240		C5:3(D6:C8)	480,33
C₅⋊₄(D₆⋊C₈) = D₃₀⋊₃C₈	φ: D₆⋊C₈/C₂×C₂₄ → C₂ ⊆ Aut C₅	240		C5:4(D6:C8)	480,180
C₅⋊₅(D₆⋊C₈) = C₆₀.₉₄D₄	φ: D₆⋊C₈/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:5(D6:C8)	480,32

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