Extensions 1→N→G→Q→1 with N=C₂xC₁₀ and Q=C₂₄

Direct product G=NxQ with N=C₂xC₁₀ and Q=C₂₄

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

Semidirect products G=N:Q with N=C₂xC₁₀ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀):C₂₄ = A₄xC₅:C₈	φ: C₂₄/C₂ → C₁₂ ⊆ Aut C₂xC₁₀	120	12-	(C2xC10):C24	480,966
(C₂xC₁₀):₂C₂₄ = A₄xC₅:₂C₈	φ: C₂₄/C₄ → C₆ ⊆ Aut C₂xC₁₀	120	6	(C2xC10):2C24	480,265
(C₂xC₁₀):₃C₂₄ = C₃xC₂³.₂F₅	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂xC₁₀	240		(C2xC10):3C24	480,292
(C₂xC₁₀):₄C₂₄ = C₂xC₆xC₅:C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂xC₁₀	480		(C2xC10):4C24	480,1057
(C₂xC₁₀):₅C₂₄ = A₄xC₄₀	φ: C₂₄/C₈ → C₃ ⊆ Aut C₂xC₁₀	120	3	(C2xC10):5C24	480,659
(C₂xC₁₀):₆C₂₄ = C₁₅xC₂²:C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10):6C24	480,201
(C₂xC₁₀):₇C₂₄ = C₃xC₂₀.₅₅D₄	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240		(C2xC10):7C24	480,108
(C₂xC₁₀):₈C₂₄ = C₂xC₆xC₅:₂C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10):8C24	480,713

Non-split extensions G=N.Q with N=C₂xC₁₀ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₁₀).₁C₂₄ = C₆xC₅:C₁₆	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂xC₁₀	480		(C2xC10).1C24	480,277
(C₂xC₁₀).₂C₂₄ = C₃xC₂₀.C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂xC₁₀	240	4	(C2xC10).2C24	480,278
(C₂xC₁₀).₃C₂₄ = C₁₅xM₅(2)	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240	2	(C2xC10).3C24	480,213
(C₂xC₁₀).₄C₂₄ = C₆xC₅:₂C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	480		(C2xC10).4C24	480,89
(C₂xC₁₀).₅C₂₄ = C₃xC₂₀.₄C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂xC₁₀	240	2	(C2xC10).5C24	480,90

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