Extensions 1→N→G→Q→1 with N=C₄ and Q=D₅xA₄

Direct product G=NxQ with N=C₄ and Q=D₅xA₄

		d	ρ	Label	ID
C₄xD₅xA₄		60	6	C4xD5xA4	480,1036

Semidirect products G=N:Q with N=C₄ and Q=D₅xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(D₅xA₄) = A₄xD₂₀	φ: D₅xA₄/C₅xA₄ → C₂ ⊆ Aut C₄	60	6+	C4:(D5xA4)	480,1037

Non-split extensions G=N.Q with N=C₄ and Q=D₅xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(D₅xA₄) = A₄xDic₁₀	φ: D₅xA₄/C₅xA₄ → C₂ ⊆ Aut C₄	120	6-	C4.1(D5xA4)	480,1035
C₄.₂(D₅xA₄) = Dic₁₀.A₄	φ: D₅xA₄/C₅xA₄ → C₂ ⊆ Aut C₄	120	4+	C4.2(D5xA4)	480,1041
C₄.₃(D₅xA₄) = D₂₀.A₄	φ: D₅xA₄/C₅xA₄ → C₂ ⊆ Aut C₄	80	4-	C4.3(D5xA4)	480,1043
C₄.₄(D₅xA₄) = A₄xC₅:₂C₈	central extension (φ=1)	120	6	C4.4(D5xA4)	480,265
C₄.₅(D₅xA₄) = SL₂(F₃).Dic₅	central extension (φ=1)	160	4	C4.5(D5xA4)	480,267
C₄.₆(D₅xA₄) = D₅xC₄.A₄	central extension (φ=1)	80	4	C4.6(D5xA4)	480,1042

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