Extensions 1→N→G→Q→1 with N=C₁₅×M₄(2) and Q=C₂

Direct product G=N×Q with N=C₁₅×M₄(2) and Q=C₂

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

Semidirect products G=N:Q with N=C₁₅×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₅×M₄(2))⋊₁C₂ = C₈⋊D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4+	(C15xM4(2)):1C2	480,873
(C₁₅×M₄(2))⋊₂C₂ = C₈.D₃₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4-	(C15xM4(2)):2C2	480,874
(C₁₅×M₄(2))⋊₃C₂ = C₃×C₈⋊D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):3C2	480,701
(C₁₅×M₄(2))⋊₄C₂ = C₃×C₈.D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)):4C2	480,702
(C₁₅×M₄(2))⋊₅C₂ = M₄(2)×D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):5C2	480,871
(C₁₅×M₄(2))⋊₆C₂ = D₆₀.₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)):6C2	480,872
(C₁₅×M₄(2))⋊₇C₂ = C₅×C₈⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):7C2	480,787
(C₁₅×M₄(2))⋊₈C₂ = C₅×C₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)):8C2	480,788
(C₁₅×M₄(2))⋊₉C₂ = C₃×D₅×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):9C2	480,699
(C₁₅×M₄(2))⋊₁₀C₂ = C₃×D₂₀.₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)):10C2	480,700
(C₁₅×M₄(2))⋊₁₁C₂ = C₁₅×C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):11C2	480,941
(C₁₅×M₄(2))⋊₁₂C₂ = C₁₅×C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)):12C2	480,942
(C₁₅×M₄(2))⋊₁₃C₂ = C₅×S₃×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):13C2	480,785
(C₁₅×M₄(2))⋊₁₄C₂ = C₅×D₁₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)):14C2	480,786
(C₁₅×M₄(2))⋊₁₅C₂ = C₃×C₂₀.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):15C2	480,101
(C₁₅×M₄(2))⋊₁₆C₂ = C₃×D₂₀⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):16C2	480,103
(C₁₅×M₄(2))⋊₁₇C₂ = C₅×C₁₂.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):17C2	480,142
(C₁₅×M₄(2))⋊₁₈C₂ = C₅×D₁₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):18C2	480,144
(C₁₅×M₄(2))⋊₁₉C₂ = M₄(2)⋊D₁₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4+	(C15xM4(2)):19C2	480,183
(C₁₅×M₄(2))⋊₂₀C₂ = D₆₀⋊₁₀C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):20C2	480,185
(C₁₅×M₄(2))⋊₂₁C₂ = C₁₅×C₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	4	(C15xM4(2)):21C2	480,203
(C₁₅×M₄(2))⋊₂₂C₂ = C₁₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	120	2	(C15xM4(2)):22C2	480,207
(C₁₅×M₄(2))⋊₂₃C₂ = C₁₅×C₈○D₄	φ: trivial image	240	2	(C15xM4(2)):23C2	480,936

Non-split extensions G=N.Q with N=C₁₅×M₄(2) and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₅×M₄(2)).₁C₂ = C₃×C₂₀.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)).1C2	480,100
(C₁₅×M₄(2)).₂C₂ = C₃×C₄.₁₂D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)).2C2	480,102
(C₁₅×M₄(2)).₃C₂ = C₅×C₁₂.₅₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)).3C2	480,141
(C₁₅×M₄(2)).₄C₂ = C₅×C₁₂.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)).4C2	480,143
(C₁₅×M₄(2)).₅C₂ = C₆₀.₂₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)).5C2	480,182
(C₁₅×M₄(2)).₆C₂ = C₄.D₆₀	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4-	(C15xM4(2)).6C2	480,184
(C₁₅×M₄(2)).₇C₂ = C₁₅×C₄.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	4	(C15xM4(2)).7C2	480,204
(C₁₅×M₄(2)).₈C₂ = C₁₅×C₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₅×M₄(2)	240	2	(C15xM4(2)).8C2	480,211

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Extensions 1→N→G→Q→1 with N=C15×M4(2) and Q=C2

Extensions 1→N→G→Q→1 with N=C₁₅×M₄(2) and Q=C₂