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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊C₂₄ = C₆×C₅⋊C₈	φ: C₂₄/C₆ → C₄ ⊆ Aut C₁₀	240		C10:C24	240,115
C₁₀⋊₂C₂₄ = C₆×C₅⋊₂C₈	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₀	240		C10:2C24	240,38

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.C₂₄ = C₃×C₅⋊C₁₆	φ: C₂₄/C₆ → C₄ ⊆ Aut C₁₀	240	4	C10.C24	240,5
C₁₀.₂C₂₄ = C₃×C₅⋊₂C₁₆	φ: C₂₄/C₁₂ → C₂ ⊆ Aut C₁₀	240	2	C10.2C24	240,2

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