Extensions 1→N→G→Q→1 with N=C₂xC₈ and Q=D₁₅

Direct product G=NxQ with N=C₂xC₈ and Q=D₁₅

		d	ρ	Label	ID
C₂xC₈xD₁₅		240		C2xC8xD15	480,864

Semidirect products G=N:Q with N=C₂xC₈ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈):₁D₁₅ = D₃₀:₃C₈	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):1D15	480,180
(C₂xC₈):₂D₁₅ = D₆₀:₈C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):2D15	480,181
(C₂xC₈):₃D₁₅ = C₂xD₁₂₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):3D15	480,868
(C₂xC₈):₄D₁₅ = C₄₀.₆₉D₆	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	240	2	(C2xC8):4D15	480,869
(C₂xC₈):₅D₁₅ = C₂xC₂₄:D₅	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):5D15	480,867
(C₂xC₈):₆D₁₅ = C₂xC₄₀:S₃	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	240		(C2xC8):6D15	480,865
(C₂xC₈):₇D₁₅ = D₆₀.₆C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	240	2	(C2xC8):7D15	480,866

Non-split extensions G=N.Q with N=C₂xC₈ and Q=D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₈).₁D₁₅ = C₆₀.₂₆Q₈	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).1D15	480,174
(C₂xC₈).₂D₁₅ = Dic₃₀:₈C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).2D15	480,176
(C₂xC₈).₃D₁₅ = C₁₂₀:₉C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).3D15	480,178
(C₂xC₈).₄D₁₅ = C₂xDic₆₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).4D15	480,870
(C₂xC₈).₅D₁₅ = C₄.₁₈D₆₀	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	240	2	(C2xC8).5D15	480,179
(C₂xC₈).₆D₁₅ = C₁₂₀:₁₀C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).6D15	480,177
(C₂xC₈).₇D₁₅ = C₆₀.₇C₈	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	240	2	(C2xC8).7D15	480,172
(C₂xC₈).₈D₁₅ = C₁₂₀:₁₃C₄	φ: D₁₅/C₁₅ → C₂ ⊆ Aut C₂xC₈	480		(C2xC8).8D15	480,175
(C₂xC₈).₉D₁₅ = C₂xC₁₅:₃C₁₆	central extension (φ=1)	480		(C2xC8).9D15	480,171
(C₂xC₈).₁₀D₁₅ = C₈xDic₁₅	central extension (φ=1)	480		(C2xC8).10D15	480,173

׿

x

:

Z

F

o

wr

Q

<