Extensions 1→N→G→Q→1 with N=C₄² and Q=C₂₀

Direct product G=N×Q with N=C₄² and Q=C₂₀

		d	ρ	Label	ID
C₄²×C₂₀		320		C4^2xC20	320,875

Semidirect products G=N:Q with N=C₄² and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²⋊₁C₂₀ = C₅×C₄.₉C₄²	φ: C₂₀/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2:1C20	320,142
C₄²⋊₂C₂₀ = C₅×C₄²⋊C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₄²	40	4	C4^2:2C20	320,158
C₄²⋊₃C₂₀ = C₅×C₄²⋊₃C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2:3C20	320,159
C₄²⋊₄C₂₀ = C₅×C₄²⋊₄C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:4C20	320,877
C₄²⋊₅C₂₀ = C₅×C₄²⋊₅C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:5C20	320,884
C₄²⋊₆C₂₀ = C₅×C₄²⋊₆C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	80		C4^2:6C20	320,144
C₄²⋊₇C₂₀ = C₄⋊C₄×C₂₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:7C20	320,879
C₄²⋊₈C₂₀ = C₅×C₄²⋊₈C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:8C20	320,883
C₄²⋊₉C₂₀ = C₅×C₄²⋊₉C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2:9C20	320,885

Non-split extensions G=N.Q with N=C₄² and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₂₀ = C₅×C₁₆⋊C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2.1C20	320,152
C₄².₂C₂₀ = C₅×C₄².C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2.2C20	320,160
C₄².₃C₂₀ = C₅×C₄².₃C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₄²	80	4	C4^2.3C20	320,161
C₄².₄C₂₀ = C₅×C₁₆⋊₅C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.4C20	320,151
C₄².₅C₂₀ = C₁₀×C₈⋊C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.5C20	320,904
C₄².₆C₂₀ = C₅×C₄².₁₂C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.6C20	320,932
C₄².₇C₂₀ = C₅×C₄⋊C₁₆	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.7C20	320,168
C₄².₈C₂₀ = C₅×C₈.C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	80	2	C4^2.8C20	320,169
C₄².₉C₂₀ = M₄(2)×C₂₀	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.9C20	320,905
C₄².₁₀C₂₀ = C₁₀×C₄⋊C₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	320		C4^2.10C20	320,923
C₄².₁₁C₂₀ = C₅×C₄⋊M₄(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.11C20	320,924
C₄².₁₂C₂₀ = C₅×C₄².₆C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₄²	160		C4^2.12C20	320,933

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