Extensions 1→N→G→Q→1 with N=D₅×C₃⋊D₄ and Q=C₂

Direct product G=N×Q with N=D₅×C₃⋊D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₅×C₃⋊D₄		120		C2xD5xC3:D4	480,1122

Semidirect products G=N:Q with N=D₅×C₃⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₃⋊D₄)⋊₁C₂ = D₂₀⋊₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃⋊D₄	120	4	(D5xC3:D4):1C2	480,1093
(D₅×C₃⋊D₄)⋊₂C₂ = S₃×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃⋊D₄	60	8+	(D5xC3:D4):2C2	480,1097
(D₅×C₃⋊D₄)⋊₃C₂ = D₅×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃⋊D₄	120	8-	(D5xC3:D4):3C2	480,1098
(D₅×C₃⋊D₄)⋊₄C₂ = D₂₀⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃⋊D₄	120	8-	(D5xC3:D4):4C2	480,1101
(D₅×C₃⋊D₄)⋊₅C₂ = D₂₀⋊₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃⋊D₄	120	8+	(D5xC3:D4):5C2	480,1102
(D₅×C₃⋊D₄)⋊₆C₂ = C₁₅⋊2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃⋊D₄	120	4	(D5xC3:D4):6C2	480,1125
(D₅×C₃⋊D₄)⋊₇C₂ = D₅×C₄○D₁₂	φ: trivial image	120	4	(D5xC3:D4):7C2	480,1090

Non-split extensions G=N.Q with N=D₅×C₃⋊D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₃⋊D₄).₁C₂ = F₅×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃⋊D₄	60	8	(D5xC3:D4).1C2	480,1010
(D₅×C₃⋊D₄).₂C₂ = C₃⋊D₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₃⋊D₄	60	8	(D5xC3:D4).2C2	480,1012

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁