Extensions 1→N→G→Q→1 with N=C₂×S₃×D₅ and Q=C₂

Direct product G=N×Q with N=C₂×S₃×D₅ and Q=C₂

		d	ρ	Label	ID
C₂²×S₃×D₅		60		C2^2xS3xD5	240,202

Semidirect products G=N:Q with N=C₂×S₃×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃×D₅)⋊₁C₂ = D₅×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×D₅	60	4+	(C2xS3xD5):1C2	240,136
(C₂×S₃×D₅)⋊₂C₂ = S₃×D₂₀	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×D₅	60	4+	(C2xS3xD5):2C2	240,137
(C₂×S₃×D₅)⋊₃C₂ = C₂₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×D₅	60	4	(C2xS3xD5):3C2	240,138
(C₂×S₃×D₅)⋊₄C₂ = D₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×D₅	60	4	(C2xS3xD5):4C2	240,149
(C₂×S₃×D₅)⋊₅C₂ = S₃×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×D₅	60	4	(C2xS3xD5):5C2	240,150
(C₂×S₃×D₅)⋊₆C₂ = D₁₀⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×D₅	60	4+	(C2xS3xD5):6C2	240,151

Non-split extensions G=N.Q with N=C₂×S₃×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×S₃×D₅).₁C₂ = D₆⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×D₅	60	8+	(C2xS3xD5).1C2	240,96
(C₂×S₃×D₅).₂C₂ = C₂×S₃×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₂×S₃×D₅	30	8+	(C2xS3xD5).2C2	240,195
(C₂×S₃×D₅).₃C₂ = C₄×S₃×D₅	φ: trivial image	60	4	(C2xS3xD5).3C2	240,135

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁