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

Direct product G=NxQ with N=C₁₀ and Q=C₂₄:C₂

		d	ρ	Label	ID
C₁₀xC₂₄:C₂		240		C10xC24:C2	480,781

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:₁(C₂₄:C₂) = C₂xC₂₄:D₅	φ: C₂₄:C₂/C₂₄ → C₂ ⊆ Aut C₁₀	240		C10:1(C24:C2)	480,867
C₁₀:₂(C₂₄:C₂) = C₂xDic₆:D₅	φ: C₂₄:C₂/Dic₆ → C₂ ⊆ Aut C₁₀	240		C10:2(C24:C2)	480,393
C₁₀:₃(C₂₄:C₂) = C₂xD₁₂.D₅	φ: C₂₄:C₂/D₁₂ → C₂ ⊆ Aut C₁₀	240		C10:3(C24:C2)	480,392

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₂₄:C₂) = Dic₃₀:₈C₄	φ: C₂₄:C₂/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10.1(C24:C2)	480,176
C₁₀.₂(C₂₄:C₂) = C₁₂₀:₁₀C₄	φ: C₂₄:C₂/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10.2(C24:C2)	480,177
C₁₀.₃(C₂₄:C₂) = D₆₀:₈C₄	φ: C₂₄:C₂/C₂₄ → C₂ ⊆ Aut C₁₀	240		C10.3(C24:C2)	480,181
C₁₀.₄(C₂₄:C₂) = D₆₀:₁₅C₄	φ: C₂₄:C₂/Dic₆ → C₂ ⊆ Aut C₁₀	240		C10.4(C24:C2)	480,45
C₁₀.₅(C₂₄:C₂) = C₁₀.Dic₁₂	φ: C₂₄:C₂/Dic₆ → C₂ ⊆ Aut C₁₀	480		C10.5(C24:C2)	480,49
C₁₀.₆(C₂₄:C₂) = C₆₀.₇Q₈	φ: C₂₄:C₂/Dic₆ → C₂ ⊆ Aut C₁₀	480		C10.6(C24:C2)	480,61
C₁₀.₇(C₂₄:C₂) = C₁₀.D₂₄	φ: C₂₄:C₂/D₁₂ → C₂ ⊆ Aut C₁₀	240		C10.7(C24:C2)	480,43
C₁₀.₈(C₂₄:C₂) = Dic₃₀:₁₅C₄	φ: C₂₄:C₂/D₁₂ → C₂ ⊆ Aut C₁₀	480		C10.8(C24:C2)	480,51
C₁₀.₉(C₂₄:C₂) = C₅xC₂.Dic₁₂	central extension (φ=1)	480		C10.9(C24:C2)	480,135
C₁₀.₁₀(C₂₄:C₂) = C₅xC₈:Dic₃	central extension (φ=1)	480		C10.10(C24:C2)	480,136
C₁₀.₁₁(C₂₄:C₂) = C₅xC₂.D₂₄	central extension (φ=1)	240		C10.11(C24:C2)	480,140

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