Home	IrrRep	Linear	C_n D_n S_n A_n ...
About	degree	Characters	×	⋊	.	○	≀

Extensions 1→N→G→Q→1 with N=C₂²×C₁₀ and Q=C₁₂

Direct product G=N×Q with N=C₂²×C₁₀ and Q=C₁₂

		d	ρ	Label	ID
C₂³×C₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₂²×C₁₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₀)⋊C₁₂ = C₂×A₄×F₅	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₂²×C₁₀	30	12+	(C2^2xC10):C12	480,1192
(C₂²×C₁₀)⋊₂C₁₂ = C₂×A₄×Dic₅	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂²×C₁₀	120		(C2^2xC10):2C12	480,1044
(C₂²×C₁₀)⋊₃C₁₂ = C₁₅×C₂³⋊C₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	120	4	(C2^2xC10):3C12	480,202
(C₂²×C₁₀)⋊₄C₁₂ = C₃×C₂³⋊Dic₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	120	4	(C2^2xC10):4C12	480,112
(C₂²×C₁₀)⋊₅C₁₂ = C₃×C₂³⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	120	4	(C2^2xC10):5C12	480,291
(C₂²×C₁₀)⋊₆C₁₂ = C₆×C₂²⋊F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	120		(C2^2xC10):6C12	480,1059
(C₂²×C₁₀)⋊₇C₁₂ = F₅×C₂²×C₆	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	120		(C2^2xC10):7C12	480,1205
(C₂²×C₁₀)⋊₈C₁₂ = A₄×C₂×C₂₀	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂²×C₁₀	120		(C2^2xC10):8C12	480,1126
(C₂²×C₁₀)⋊₉C₁₂ = C₂²⋊C₄×C₃₀	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂²×C₁₀	240		(C2^2xC10):9C12	480,920
(C₂²×C₁₀)⋊₁₀C₁₂ = C₆×C₂³.D₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂²×C₁₀	240		(C2^2xC10):10C12	480,745
(C₂²×C₁₀)⋊₁₁C₁₂ = Dic₅×C₂²×C₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂²×C₁₀	480		(C2^2xC10):11C12	480,1148

Non-split extensions G=N.Q with N=C₂²×C₁₀ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₁₀).C₁₂ = A₄×C₅⋊C₈	φ: C₁₂/C₁ → C₁₂ ⊆ Aut C₂²×C₁₀	120	12-	(C2^2xC10).C12	480,966
(C₂²×C₁₀).₂C₁₂ = A₄×C₅⋊₂C₈	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂²×C₁₀	120	6	(C2^2xC10).2C12	480,265
(C₂²×C₁₀).₃C₁₂ = C₁₅×C₄.D₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	120	4	(C2^2xC10).3C12	480,203
(C₂²×C₁₀).₄C₁₂ = C₃×C₂₀.D₄	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	120	4	(C2^2xC10).4C12	480,111
(C₂²×C₁₀).₅C₁₂ = C₃×C₂³.₂F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	240		(C2^2xC10).5C12	480,292
(C₂²×C₁₀).₆C₁₂ = C₃×C₂³.F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	120	4	(C2^2xC10).6C12	480,293
(C₂²×C₁₀).₇C₁₂ = C₂×C₆×C₅⋊C₈	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	480		(C2^2xC10).7C12	480,1057
(C₂²×C₁₀).₈C₁₂ = C₆×C₂².F₅	φ: C₁₂/C₃ → C₄ ⊆ Aut C₂²×C₁₀	240		(C2^2xC10).8C12	480,1058
(C₂²×C₁₀).₉C₁₂ = A₄×C₄₀	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂²×C₁₀	120	3	(C2^2xC10).9C12	480,659
(C₂²×C₁₀).₁₀C₁₂ = C₁₅×C₂²⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂²×C₁₀	240		(C2^2xC10).10C12	480,201
(C₂²×C₁₀).₁₁C₁₂ = M₄(2)×C₃₀	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂²×C₁₀	240		(C2^2xC10).11C12	480,935
(C₂²×C₁₀).₁₂C₁₂ = C₃×C₂₀.₅₅D₄	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂²×C₁₀	240		(C2^2xC10).12C12	480,108
(C₂²×C₁₀).₁₃C₁₂ = C₂×C₆×C₅⋊₂C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂²×C₁₀	480		(C2^2xC10).13C12	480,713
(C₂²×C₁₀).₁₄C₁₂ = C₆×C₄.Dic₅	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂²×C₁₀	240		(C2^2xC10).14C12	480,714

׿

×

⋊

ℤ

𝔽

○

≀