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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₄)⋊₁C₁₀ = C₅×D₆⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):1C10	480,139
(C₂×C₂₄)⋊₂C₁₀ = C₅×C₂.D₂₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):2C10	480,140
(C₂×C₂₄)⋊₃C₁₀ = C₁₅×C₂²⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):3C10	480,201
(C₂×C₂₄)⋊₄C₁₀ = C₁₅×D₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):4C10	480,205
(C₂×C₂₄)⋊₅C₁₀ = C₁₀×D₂₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):5C10	480,782
(C₂×C₂₄)⋊₆C₁₀ = C₅×C₄○D₂₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24):6C10	480,783
(C₂×C₂₄)⋊₇C₁₀ = C₁₀×C₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):7C10	480,781
(C₂×C₂₄)⋊₈C₁₀ = D₈×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):8C10	480,937
(C₂×C₂₄)⋊₉C₁₀ = C₁₅×C₄○D₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24):9C10	480,940
(C₂×C₂₄)⋊₁₀C₁₀ = S₃×C₂×C₄₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):10C10	480,778
(C₂×C₂₄)⋊₁₁C₁₀ = C₁₀×C₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):11C10	480,779
(C₂×C₂₄)⋊₁₂C₁₀ = C₅×C₈○D₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24):12C10	480,780
(C₂×C₂₄)⋊₁₃C₁₀ = SD₁₆×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):13C10	480,938
(C₂×C₂₄)⋊₁₄C₁₀ = M₄(2)×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240		(C2xC24):14C10	480,935
(C₂×C₂₄)⋊₁₅C₁₀ = C₁₅×C₈○D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24):15C10	480,936

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₄).₁C₁₀ = C₅×Dic₃⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).1C10	480,133
(C₂×C₂₄).₂C₁₀ = C₅×C₂.Dic₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).2C10	480,135
(C₂×C₂₄).₃C₁₀ = C₁₅×Q₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).3C10	480,206
(C₂×C₂₄).₄C₁₀ = C₁₅×C₄⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).4C10	480,208
(C₂×C₂₄).₅C₁₀ = C₅×C₂₄⋊₁C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).5C10	480,137
(C₂×C₂₄).₆C₁₀ = C₁₀×Dic₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).6C10	480,784
(C₂×C₂₄).₇C₁₀ = C₅×C₂₄.C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24).7C10	480,138
(C₂×C₂₄).₈C₁₀ = C₅×C₈⋊Dic₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).8C10	480,136
(C₂×C₂₄).₉C₁₀ = C₁₅×C₂.D₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).9C10	480,210
(C₂×C₂₄).₁₀C₁₀ = Q₁₆×C₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).10C10	480,939
(C₂×C₂₄).₁₁C₁₀ = C₁₅×C₈.C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24).11C10	480,211
(C₂×C₂₄).₁₂C₁₀ = C₁₀×C₃⋊C₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).12C10	480,130
(C₂×C₂₄).₁₃C₁₀ = C₅×C₁₂.C₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24).13C10	480,131
(C₂×C₂₄).₁₄C₁₀ = Dic₃×C₄₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).14C10	480,132
(C₂×C₂₄).₁₅C₁₀ = C₅×C₂₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).15C10	480,134
(C₂×C₂₄).₁₆C₁₀ = C₁₅×C₄.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).16C10	480,209
(C₂×C₂₄).₁₇C₁₀ = C₁₅×C₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	480		(C2xC24).17C10	480,200
(C₂×C₂₄).₁₈C₁₀ = C₁₅×M₅(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂×C₂₄	240	2	(C2xC24).18C10	480,213

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