Extensions 1→N→G→Q→1 with N=C₂² and Q=C₁₀×A₄

Direct product G=N×Q with N=C₂² and Q=C₁₀×A₄

		d	ρ	Label	ID
A₄×C₂²×C₁₀		120		A4xC2^2xC10	480,1208

Semidirect products G=N:Q with N=C₂² and Q=C₁₀×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₁₀×A₄) = C₁₀×C₂²⋊A₄	φ: C₁₀×A₄/C₂²×C₁₀ → C₃ ⊆ Aut C₂²	60		C2^2:(C10xA4)	480,1209
C₂²⋊₂(C₁₀×A₄) = C₅×D₄×A₄	φ: C₁₀×A₄/C₅×A₄ → C₂ ⊆ Aut C₂²	60	6	C2^2:2(C10xA4)	480,1127

Non-split extensions G=N.Q with N=C₂² and Q=C₁₀×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₁₀×A₄) = C₁₀×C₄²⋊C₃	φ: C₁₀×A₄/C₂²×C₁₀ → C₃ ⊆ Aut C₂²	60	3	C2^2.1(C10xA4)	480,654
C₂².₂(C₁₀×A₄) = C₅×C₂⁴⋊C₆	φ: C₁₀×A₄/C₂²×C₁₀ → C₃ ⊆ Aut C₂²	40	6	C2^2.2(C10xA4)	480,656
C₂².₃(C₁₀×A₄) = C₅×C₄²⋊C₆	φ: C₁₀×A₄/C₂²×C₁₀ → C₃ ⊆ Aut C₂²	80	6	C2^2.3(C10xA4)	480,657
C₂².₄(C₁₀×A₄) = C₅×C₂³.A₄	φ: C₁₀×A₄/C₂²×C₁₀ → C₃ ⊆ Aut C₂²	60	6	C2^2.4(C10xA4)	480,658
C₂².₅(C₁₀×A₄) = C₅×D₄.A₄	φ: C₁₀×A₄/C₅×A₄ → C₂ ⊆ Aut C₂²	80	4	C2^2.5(C10xA4)	480,1132
C₂².₆(C₁₀×A₄) = C₂₀×SL₂(𝔽₃)	central extension (φ=1)	160		C2^2.6(C10xA4)	480,655
C₂².₇(C₁₀×A₄) = A₄×C₂×C₂₀	central extension (φ=1)	120		C2^2.7(C10xA4)	480,1126
C₂².₈(C₁₀×A₄) = C₂×C₁₀×SL₂(𝔽₃)	central extension (φ=1)	160		C2^2.8(C10xA4)	480,1128
C₂².₉(C₁₀×A₄) = C₁₀×C₄.A₄	central extension (φ=1)	160		C2^2.9(C10xA4)	480,1130

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