Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²⋊₇S₃

Direct product G=N×Q with N=C₅ and Q=C₄²⋊₇S₃

		d	ρ	Label	ID
C₅×C₄²⋊₇S₃		240		C5xC4^2:7S3	480,754

Semidirect products G=N:Q with N=C₅ and Q=C₄²⋊₇S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄²⋊₇S₃) = Dic₅.₈D₁₂	φ: C₄²⋊₇S₃/D₆⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(C4^2:7S3)	480,426
C₅⋊₂(C₄²⋊₇S₃) = C₄²⋊₇D₁₅	φ: C₄²⋊₇S₃/C₄×C₁₂ → C₂ ⊆ Aut C₅	240		C5:2(C4^2:7S3)	480,840
C₅⋊₃(C₄²⋊₇S₃) = C₆₀.₇₀D₄	φ: C₄²⋊₇S₃/C₂×Dic₆ → C₂ ⊆ Aut C₅	240		C5:3(C4^2:7S3)	480,451
C₅⋊₄(C₄²⋊₇S₃) = C₆₀.₆₉D₄	φ: C₄²⋊₇S₃/C₂×D₁₂ → C₂ ⊆ Aut C₅	240		C5:4(C4^2:7S3)	480,449

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