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

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

		d	ρ	Label	ID
C₂×C₁₂₀		240		C2xC120	240,84

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁C₁₀ = C₅×D₂₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:1C10	240,52
C₂₄⋊₂C₁₀ = C₅×C₂₄⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:2C10	240,51
C₂₄⋊₃C₁₀ = C₁₅×D₈	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:3C10	240,86
C₂₄⋊₄C₁₀ = S₃×C₄₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:4C10	240,49
C₂₄⋊₅C₁₀ = C₅×C₈⋊S₃	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:5C10	240,50
C₂₄⋊₆C₁₀ = C₁₅×SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:6C10	240,87
C₂₄⋊₇C₁₀ = C₁₅×M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	120	2	C24:7C10	240,85

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁C₁₀ = C₅×Dic₁₂	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	240	2	C24.1C10	240,53
C₂₄.₂C₁₀ = C₁₅×Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	240	2	C24.2C10	240,88
C₂₄.₃C₁₀ = C₅×C₃⋊C₁₆	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂₄	240	2	C24.3C10	240,1

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