Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₃₇D₄

Direct product G=N×Q with N=C₅ and Q=C₂³.₃₇D₄

		d	ρ	Label	ID
C₅×C₂³.₃₇D₄		80		C5xC2^3.37D4	320,919

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₃₇D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂³.₃₇D₄) = (D₄×C₁₀)⋊C₄	φ: C₂³.₃₇D₄/C₂×D₄ → C₄ ⊆ Aut C₅	40	8+	C5:(C2^3.37D4)	320,1105
C₅⋊₂(C₂³.₃₇D₄) = (D₄×D₅)⋊C₄	φ: C₂³.₃₇D₄/D₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:2(C2^3.37D4)	320,397
C₅⋊₃(C₂³.₃₇D₄) = C₄⋊C₄⋊₃₆D₁₀	φ: C₂³.₃₇D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₅	80		C5:3(C2^3.37D4)	320,628
C₅⋊₄(C₂³.₃₇D₄) = C₂³.₄₈D₂₀	φ: C₂³.₃₇D₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	80		C5:4(C2^3.37D4)	320,758
C₅⋊₅(C₂³.₃₇D₄) = (D₄×C₁₀)⋊₁₈C₄	φ: C₂³.₃₇D₄/C₂²×D₄ → C₂ ⊆ Aut C₅	80		C5:5(C2^3.37D4)	320,842

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