Extensions 1→N→G→Q→1 with N=C₅×M₄(2) and Q=C₆

Direct product G=N×Q with N=C₅×M₄(2) and Q=C₆

		d	ρ	Label	ID
M₄(2)×C₃₀		240		M4(2)xC30	480,935

Semidirect products G=N:Q with N=C₅×M₄(2) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×M₄(2))⋊₁C₆ = C₃×C₈⋊D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):1C6	480,701
(C₅×M₄(2))⋊₂C₆ = C₃×C₈.D₁₀	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)):2C6	480,702
(C₅×M₄(2))⋊₃C₆ = C₃×D₅×M₄(2)	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):3C6	480,699
(C₅×M₄(2))⋊₄C₆ = C₃×D₂₀.₂C₄	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)):4C6	480,700
(C₅×M₄(2))⋊₅C₆ = C₁₅×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):5C6	480,941
(C₅×M₄(2))⋊₆C₆ = C₁₅×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)):6C6	480,942
(C₅×M₄(2))⋊₇C₆ = C₃×C₂₀.₄₆D₄	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):7C6	480,101
(C₅×M₄(2))⋊₈C₆ = C₃×D₂₀⋊₇C₄	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):8C6	480,103
(C₅×M₄(2))⋊₉C₆ = C₁₅×C₄.D₄	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	4	(C5xM4(2)):9C6	480,203
(C₅×M₄(2))⋊₁₀C₆ = C₁₅×C₄≀C₂	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	120	2	(C5xM4(2)):10C6	480,207
(C₅×M₄(2))⋊₁₁C₆ = C₁₅×C₈○D₄	φ: trivial image	240	2	(C5xM4(2)):11C6	480,936

Non-split extensions G=N.Q with N=C₅×M₄(2) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×M₄(2)).₁C₆ = C₃×C₂₀.₅₃D₄	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)).1C6	480,100
(C₅×M₄(2)).₂C₆ = C₃×C₄.₁₂D₂₀	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)).2C6	480,102
(C₅×M₄(2)).₃C₆ = C₁₅×C₄.₁₀D₄	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	4	(C5xM4(2)).3C6	480,204
(C₅×M₄(2)).₄C₆ = C₁₅×C₈.C₄	φ: C₆/C₃ → C₂ ⊆ Out C₅×M₄(2)	240	2	(C5xM4(2)).4C6	480,211

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