Extensions 1→N→G→Q→1 with N=C₄².C₂ and Q=C₁₀

Direct product G=N×Q with N=C₄².C₂ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄².C₂		320		C10xC4^2.C2	320,1529

Semidirect products G=N:Q with N=C₄².C₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂⋊₁C₁₀ = C₅×D₄.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:1C10	320,979
C₄².C₂⋊₂C₁₀ = C₅×C₄².₇₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:2C10	320,989
C₄².C₂⋊₃C₁₀ = C₅×C₄².₂₉C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:3C10	320,991
C₄².C₂⋊₄C₁₀ = C₅×C₂².₃₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:4C10	320,1541
C₄².C₂⋊₅C₁₀ = C₅×C₂².₃₄C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:5C10	320,1542
C₄².C₂⋊₆C₁₀ = C₅×C₂².₃₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:6C10	320,1543
C₄².C₂⋊₇C₁₀ = C₅×C₂³.₄₁C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:7C10	320,1546
C₄².C₂⋊₈C₁₀ = C₅×C₂².₄₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:8C10	320,1554
C₄².C₂⋊₉C₁₀ = C₅×C₂².₄₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:9C10	320,1555
C₄².C₂⋊₁₀C₁₀ = C₅×D₄⋊₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:10C10	320,1556
C₄².C₂⋊₁₁C₁₀ = C₅×C₂².₅₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:11C10	320,1564
C₄².C₂⋊₁₂C₁₀ = C₅×C₂².₅₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	160		C4^2.C2:12C10	320,1565
C₄².C₂⋊₁₃C₁₀ = C₅×C₂³.₃₆C₂³	φ: trivial image	160		C4^2.C2:13C10	320,1531
C₄².C₂⋊₁₄C₁₀ = C₅×C₂³.₃₇C₂³	φ: trivial image	160		C4^2.C2:14C10	320,1535

Non-split extensions G=N.Q with N=C₄².C₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂.₁C₁₀ = C₅×C₄².₂C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	320		C4^2.C2.1C10	320,135
C₄².C₂.₂C₁₀ = C₅×Q₈.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	320		C4^2.C2.2C10	320,980
C₄².C₂.₃C₁₀ = C₅×C₄².₃₀C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	320		C4^2.C2.3C10	320,992
C₄².C₂.₄C₁₀ = C₅×C₈.₅Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	320		C4^2.C2.4C10	320,1000
C₄².C₂.₅C₁₀ = C₅×C₈⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	320		C4^2.C2.5C10	320,1002
C₄².C₂.₆C₁₀ = C₅×Q₈⋊₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	320		C4^2.C2.6C10	320,1559
C₄².C₂.₇C₁₀ = C₅×C₂².₅₈C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄².C₂	320		C4^2.C2.7C10	320,1566

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