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	2	C5xD6.C8	480,117

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/C₃⋊C₈ → C₄ ⊆ Aut C₅	240	8	C5:1(D6.C8)	480,242
C₅⋊₂(D₆.C₈) = C₁₅⋊M₅(2)	φ: D₆.C₈/C₄×S₃ → C₄ ⊆ Aut C₅	240	8	C5:2(D6.C8)	480,241
C₅⋊₃(D₆.C₈) = D₃₀.₅C₈	φ: D₆.C₈/C₃⋊C₁₆ → C₂ ⊆ Aut C₅	240	4	C5:3(D6.C8)	480,12
C₅⋊₄(D₆.C₈) = C₈₀⋊S₃	φ: D₆.C₈/C₄₈ → C₂ ⊆ Aut C₅	240	2	C5:4(D6.C8)	480,158
C₅⋊₅(D₆.C₈) = C₄₀.₅₂D₆	φ: D₆.C₈/S₃×C₈ → C₂ ⊆ Aut C₅	240	4	C5:5(D6.C8)	480,11

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