Extensions 1→N→G→Q→1 with N=C₅×M₄(2) and Q=S₃

Direct product G=N×Q with N=C₅×M₄(2) and Q=S₃

		d	ρ	Label	ID
C₅×S₃×M₄(2)		120	4	C5xS3xM4(2)	480,785

Semidirect products G=N:Q with N=C₅×M₄(2) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×M₄(2))⋊₁S₃ = C₈⋊D₃₀	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4+	(C5xM4(2)):1S3	480,873
(C₅×M₄(2))⋊₂S₃ = C₈.D₃₀	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4-	(C5xM4(2)):2S3	480,874
(C₅×M₄(2))⋊₃S₃ = M₄(2)×D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):3S3	480,871
(C₅×M₄(2))⋊₄S₃ = D₆₀.₃C₄	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)):4S3	480,872
(C₅×M₄(2))⋊₅S₃ = C₅×C₈⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):5S3	480,787
(C₅×M₄(2))⋊₆S₃ = C₅×C₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)):6S3	480,788
(C₅×M₄(2))⋊₇S₃ = C₅×C₁₂.₄₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):7S3	480,142
(C₅×M₄(2))⋊₈S₃ = C₅×D₁₂⋊C₄	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):8S3	480,144
(C₅×M₄(2))⋊₉S₃ = M₄(2)⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4+	(C5xM4(2)):9S3	480,183
(C₅×M₄(2))⋊₁₀S₃ = D₆₀⋊₁₀C₄	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):10S3	480,185
(C₅×M₄(2))⋊₁₁S₃ = C₅×D₁₂.C₄	φ: trivial image	240	4	(C5xM4(2)):11S3	480,786

Non-split extensions G=N.Q with N=C₅×M₄(2) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×M₄(2)).₁S₃ = C₅×C₁₂.₅₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)).1S3	480,141
(C₅×M₄(2)).₂S₃ = C₅×C₁₂.₄₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)).2S3	480,143
(C₅×M₄(2)).₃S₃ = C₆₀.₂₁₀D₄	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)).3S3	480,182
(C₅×M₄(2)).₄S₃ = C₄.D₆₀	φ: S₃/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4-	(C5xM4(2)).4S3	480,184

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