Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₇D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₇D₆

		d	ρ	Label	ID
C₅×C₂³.₇D₆		120	4	C5xC2^3.7D6	480,153

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₇D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₇D₆) = (C₂×C₆₀)⋊C₄	φ: C₂³.₇D₆/C₂×C₁₂ → C₄ ⊆ Aut C₅	120	4	C5:1(C2^3.7D6)	480,304
C₅⋊₂(C₂³.₇D₆) = C₃⋊(C₂³⋊F₅)	φ: C₂³.₇D₆/C₂²×C₆ → C₄ ⊆ Aut C₅	120	4	C5:2(C2^3.7D6)	480,316
C₅⋊₃(C₂³.₇D₆) = (C₂×C₆).D₂₀	φ: C₂³.₇D₆/C₆.D₄ → C₂ ⊆ Aut C₅	120	4	C5:3(C2^3.7D6)	480,71
C₅⋊₄(C₂³.₇D₆) = C₂³.₇D₃₀	φ: C₂³.₇D₆/C₆×D₄ → C₂ ⊆ Aut C₅	120	4	C5:4(C2^3.7D6)	480,194

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