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

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

		d	ρ	Label	ID
S₃×C₄×C₂₀		240		S3xC4xC20	480,750

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(S₃×C₄²) = C₄×S₃×F₅	φ: S₃×C₄²/C₄×S₃ → C₄ ⊆ Aut C₅	60	8	C5:(S3xC4^2)	480,994
C₅⋊₂(S₃×C₄²) = C₄×D₃₀.C₂	φ: S₃×C₄²/C₄×Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(S3xC4^2)	480,477
C₅⋊₃(S₃×C₄²) = C₄²×D₁₅	φ: S₃×C₄²/C₄×C₁₂ → C₂ ⊆ Aut C₅	240		C5:3(S3xC4^2)	480,836
C₅⋊₄(S₃×C₄²) = C₄×S₃×Dic₅	φ: S₃×C₄²/S₃×C₂×C₄ → C₂ ⊆ Aut C₅	240		C5:4(S3xC4^2)	480,473

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