Extensions 1→N→G→Q→1 with N=C₂² and Q=C₄×C₂₀

Direct product G=N×Q with N=C₂² and Q=C₄×C₂₀

		d	ρ	Label	ID
C₂²×C₄×C₂₀		320		C2^2xC4xC20	320,1513

Semidirect products G=N:Q with N=C₂² and Q=C₄×C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₄×C₂₀) = C₂²⋊C₄×C₂₀	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2:(C4xC20)	320,878

Non-split extensions G=N.Q with N=C₂² and Q=C₄×C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₄×C₂₀) = C₅×C₂³.₉D₄	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80		C2^2.1(C4xC20)	320,147
C₂².₂(C₄×C₂₀) = C₅×C₂².C₄²	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.2(C4xC20)	320,148
C₂².₃(C₄×C₂₀) = C₅×M₄(2)⋊₄C₄	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	80	4	C2^2.3(C4xC20)	320,149
C₂².₄(C₄×C₂₀) = M₄(2)×C₂₀	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.4(C4xC20)	320,905
C₂².₅(C₄×C₂₀) = C₅×C₈○₂M₄(2)	φ: C₄×C₂₀/C₂×C₂₀ → C₂ ⊆ Aut C₂²	160		C2^2.5(C4xC20)	320,906
C₂².₆(C₄×C₂₀) = C₅×C₈⋊C₈	central extension (φ=1)	320		C2^2.6(C4xC20)	320,127
C₂².₇(C₄×C₂₀) = C₅×C₂².₇C₄²	central extension (φ=1)	320		C2^2.7(C4xC20)	320,141
C₂².₈(C₄×C₂₀) = C₁₀×C₂.C₄²	central extension (φ=1)	320		C2^2.8(C4xC20)	320,876
C₂².₉(C₄×C₂₀) = C₁₀×C₈⋊C₄	central extension (φ=1)	320		C2^2.9(C4xC20)	320,904

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