Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₅×S₃

Direct product G=N×Q with N=C₂×C₄ and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₂×C₂₀		120		S3xC2xC20	240,166

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁(C₅×S₃) = C₅×D₆⋊C₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₄	120		(C2xC4):1(C5xS3)	240,59
(C₂×C₄)⋊₂(C₅×S₃) = C₁₀×D₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₄	120		(C2xC4):2(C5xS3)	240,167
(C₂×C₄)⋊₃(C₅×S₃) = C₅×C₄○D₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₄	120	2	(C2xC4):3(C5xS3)	240,168

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁(C₅×S₃) = C₅×Dic₃⋊C₄	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).1(C5xS3)	240,57
(C₂×C₄).₂(C₅×S₃) = C₅×C₄.Dic₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₄	120	2	(C2xC4).2(C5xS3)	240,55
(C₂×C₄).₃(C₅×S₃) = C₅×C₄⋊Dic₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).3(C5xS3)	240,58
(C₂×C₄).₄(C₅×S₃) = C₁₀×Dic₆	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₂×C₄	240		(C2xC4).4(C5xS3)	240,165
(C₂×C₄).₅(C₅×S₃) = C₁₀×C₃⋊C₈	central extension (φ=1)	240		(C2xC4).5(C5xS3)	240,54
(C₂×C₄).₆(C₅×S₃) = Dic₃×C₂₀	central extension (φ=1)	240		(C2xC4).6(C5xS3)	240,56

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