Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₅xA₄

Direct product G=NxQ with N=C₂³ and Q=C₅xA₄

		d	ρ	Label	ID
A₄xC₂²xC₁₀		120		A4xC2^2xC10	480,1208

Semidirect products G=N:Q with N=C₂³ and Q=C₅xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:₁(C₅xA₄) = C₅xC₂⁴:C₆	φ: C₅xA₄/C₅ → A₄ ⊆ Aut C₂³	40	6	C2^3:1(C5xA4)	480,656
C₂³:₂(C₅xA₄) = C₅xC₂³:A₄	φ: C₅xA₄/C₅ → A₄ ⊆ Aut C₂³	40	4	C2^3:2(C5xA4)	480,1134
C₂³:₃(C₅xA₄) = C₁₀xC₂²:A₄	φ: C₅xA₄/C₂xC₁₀ → C₃ ⊆ Aut C₂³	60		C2^3:3(C5xA4)	480,1209

Non-split extensions G=N.Q with N=C₂³ and Q=C₅xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.₁(C₅xA₄) = C₅xC₄²:C₆	φ: C₅xA₄/C₅ → A₄ ⊆ Aut C₂³	80	6	C2^3.1(C5xA4)	480,657
C₂³.₂(C₅xA₄) = C₅xC₂³.A₄	φ: C₅xA₄/C₅ → A₄ ⊆ Aut C₂³	60	6	C2^3.2(C5xA4)	480,658
C₂³.₃(C₅xA₄) = C₅xC₂³.₃A₄	φ: C₅xA₄/C₂xC₁₀ → C₃ ⊆ Aut C₂³	60	6	C2^3.3(C5xA4)	480,74
C₂³.₄(C₅xA₄) = C₁₀xC₄²:C₃	φ: C₅xA₄/C₂xC₁₀ → C₃ ⊆ Aut C₂³	60	3	C2^3.4(C5xA4)	480,654
C₂³.₅(C₅xA₄) = C₅xQ₈:A₄	φ: C₅xA₄/C₂xC₁₀ → C₃ ⊆ Aut C₂³	120	6	C2^3.5(C5xA4)	480,1133
C₂³.₆(C₅xA₄) = C₂xC₁₀xSL₂(F₃)	central extension (φ=1)	160		C2^3.6(C5xA4)	480,1128

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