Extensions 1→N→G→Q→1 with N=C₂×C₁₀ and Q=C₂₄

Direct product G=N×Q with N=C₂×C₁₀ and Q=C₂₄

		d	ρ	Label	ID
C₂²×C₁₂₀		480		C2^2xC120	480,934

Semidirect products G=N:Q with N=C₂×C₁₀ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀)⋊C₂₄ = A₄×C₅⋊C₈	φ: C₂₄/C₂ → C₁₂ ⊆ Aut C₂×C₁₀	120	12-	(C2xC10):C24	480,966
(C₂×C₁₀)⋊₂C₂₄ = A₄×C₅⋊₂C₈	φ: C₂₄/C₄ → C₆ ⊆ Aut C₂×C₁₀	120	6	(C2xC10):2C24	480,265
(C₂×C₁₀)⋊₃C₂₄ = C₃×C₂³.₂F₅	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂×C₁₀	240		(C2xC10):3C24	480,292
(C₂×C₁₀)⋊₄C₂₄ = C₂×C₆×C₅⋊C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂×C₁₀	480		(C2xC10):4C24	480,1057
(C₂×C₁₀)⋊₅C₂₄ = A₄×C₄₀	φ: C₂₄/C₈ → C₃ ⊆ Aut C₂×C₁₀	120	3	(C2xC10):5C24	480,659
(C₂×C₁₀)⋊₆C₂₄ = C₁₅×C₂²⋊C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):6C24	480,201
(C₂×C₁₀)⋊₇C₂₄ = C₃×C₂₀.₅₅D₄	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240		(C2xC10):7C24	480,108
(C₂×C₁₀)⋊₈C₂₄ = C₂×C₆×C₅⋊₂C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10):8C24	480,713

Non-split extensions G=N.Q with N=C₂×C₁₀ and Q=C₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀).₁C₂₄ = C₆×C₅⋊C₁₆	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂×C₁₀	480		(C2xC10).1C24	480,277
(C₂×C₁₀).₂C₂₄ = C₃×C₂₀.C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₂×C₁₀	240	4	(C2xC10).2C24	480,278
(C₂×C₁₀).₃C₂₄ = C₁₅×M₅(2)	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240	2	(C2xC10).3C24	480,213
(C₂×C₁₀).₄C₂₄ = C₆×C₅⋊₂C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	480		(C2xC10).4C24	480,89
(C₂×C₁₀).₅C₂₄ = C₃×C₂₀.₄C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₂×C₁₀	240	2	(C2xC10).5C24	480,90

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