Extensions 1→N→G→Q→1 with N=C₁₀×C₇⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₁₀×C₇⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₀×C₇⋊C₃		140		C2xC10xC7:C3	420,31

Semidirect products G=N:Q with N=C₁₀×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×C₇⋊C₃)⋊₁C₂ = C₂×C₅⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₇⋊C₃	70	6+	(C10xC7:C3):1C2	420,19
(C₁₀×C₇⋊C₃)⋊₂C₂ = C₁₀×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₇⋊C₃	70	6	(C10xC7:C3):2C2	420,17
(C₁₀×C₇⋊C₃)⋊₃C₂ = C₂×D₅×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₇⋊C₃	70	6	(C10xC7:C3):3C2	420,18

Non-split extensions G=N.Q with N=C₁₀×C₇⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×C₇⋊C₃).₁C₂ = C₃₅⋊₃C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₇⋊C₃	140	6-	(C10xC7:C3).1C2	420,3
(C₁₀×C₇⋊C₃).₂C₂ = C₅×C₇⋊C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₇⋊C₃	140	6	(C10xC7:C3).2C2	420,1
(C₁₀×C₇⋊C₃).₃C₂ = Dic₅×C₇⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×C₇⋊C₃	140	6	(C10xC7:C3).3C2	420,2
(C₁₀×C₇⋊C₃).₄C₂ = C₂₀×C₇⋊C₃	φ: trivial image	140	3	(C10xC7:C3).4C2	420,4

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁