Extensions 1→N→G→Q→1 with N=C₂xC₈ and Q=C₃₀

Direct product G=NxQ with N=C₂xC₈ and Q=C₃₀

		d	ρ	Label	ID
C₂²xC₁₂₀		480		C2^2xC120	480,934

Semidirect products G=N:Q with N=C₂xC₈ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈):₁C₃₀ = C₁₅xC₂²:C₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):1C30	480,201
(C₂xC₈):₂C₃₀ = C₁₅xD₄:C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):2C30	480,205
(C₂xC₈):₃C₃₀ = D₈xC₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):3C30	480,937
(C₂xC₈):₄C₃₀ = C₁₅xC₄oD₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	240	2	(C2xC8):4C30	480,940
(C₂xC₈):₅C₃₀ = SD₁₆xC₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):5C30	480,938
(C₂xC₈):₆C₃₀ = M₄(2)xC₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):6C30	480,935
(C₂xC₈):₇C₃₀ = C₁₅xC₈oD₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	240	2	(C2xC8):7C30	480,936

Non-split extensions G=N.Q with N=C₂xC₈ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈).₁C₃₀ = C₁₅xQ₈:C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).1C30	480,206
(C₂xC₈).₂C₃₀ = C₁₅xC₄:C₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).2C30	480,208
(C₂xC₈).₃C₃₀ = C₁₅xC₂.D₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).3C30	480,210
(C₂xC₈).₄C₃₀ = Q₁₆xC₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).4C30	480,939
(C₂xC₈).₅C₃₀ = C₁₅xC₈.C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	240	2	(C2xC8).5C30	480,211
(C₂xC₈).₆C₃₀ = C₁₅xC₄.Q₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).6C30	480,209
(C₂xC₈).₇C₃₀ = C₁₅xC₈:C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).7C30	480,200
(C₂xC₈).₈C₃₀ = C₁₅xM₅(2)	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂xC₈	240	2	(C2xC8).8C30	480,213

׿

x

:

Z

F

o

wr

Q

<