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		160		C10xC4^2:C2	320,1516

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×C₂³.C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80	4	C4^2:C2:1C10	320,911
C₄²⋊C₂⋊₂C₁₀ = C₅×C₂³.₂₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:2C10	320,917
C₄²⋊C₂⋊₃C₁₀ = C₅×C₂³.₃₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:3C10	320,919
C₄²⋊C₂⋊₄C₁₀ = C₅×C₄²⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80	4	C4^2:C2:4C10	320,922
C₄²⋊C₂⋊₅C₁₀ = C₅×C₂³.₁₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:5C10	320,983
C₄²⋊C₂⋊₆C₁₀ = C₅×C₂².₁₁C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:6C10	320,1520
C₄²⋊C₂⋊₇C₁₀ = C₅×C₂³.₃₃C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:7C10	320,1522
C₄²⋊C₂⋊₈C₁₀ = C₅×C₂².₁₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:8C10	320,1527
C₄²⋊C₂⋊₉C₁₀ = C₅×C₂³.₃₆C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:9C10	320,1531
C₄²⋊C₂⋊₁₀C₁₀ = C₅×C₂².₂₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:10C10	320,1537
C₄²⋊C₂⋊₁₁C₁₀ = C₅×C₂³.₃₈C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:11C10	320,1538
C₄²⋊C₂⋊₁₂C₁₀ = C₅×C₂².₃₄C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:12C10	320,1542
C₄²⋊C₂⋊₁₃C₁₀ = C₅×C₂².₃₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:13C10	320,1544
C₄²⋊C₂⋊₁₄C₁₀ = C₅×C₂².₄₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2:14C10	320,1553
C₄²⋊C₂⋊₁₅C₁₀ = C₅×C₂².₄₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:15C10	320,1554
C₄²⋊C₂⋊₁₆C₁₀ = C₅×C₂².₄₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:16C10	320,1555
C₄²⋊C₂⋊₁₇C₁₀ = C₅×C₂².₄₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:17C10	320,1557
C₄²⋊C₂⋊₁₈C₁₀ = C₅×C₂².₅₀C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2:18C10	320,1558
C₄²⋊C₂⋊₁₉C₁₀ = C₄○D₄×C₂₀	φ: trivial image	160		C4^2:C2:19C10	320,1519

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×C₄.₉C₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80	4	C4^2:C2.1C10	320,142
C₄²⋊C₂.₂C₁₀ = C₅×C₄²⋊₆C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80		C4^2:C2.2C10	320,144
C₄²⋊C₂.₃C₁₀ = C₅×M₄(2)⋊₄C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	80	4	C4^2:C2.3C10	320,149
C₄²⋊C₂.₄C₁₀ = C₅×C₂³.₃₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.4C10	320,920
C₄²⋊C₂.₅C₁₀ = C₅×C₄².₆C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.5C10	320,925
C₄²⋊C₂.₆C₁₀ = C₅×C₂³.₂₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.6C10	320,928
C₄²⋊C₂.₇C₁₀ = C₅×M₄(2)⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.7C10	320,929
C₄²⋊C₂.₈C₁₀ = C₅×C₄².₇C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.8C10	320,934
C₄²⋊C₂.₉C₁₀ = C₅×C₂³.₂₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.9C10	320,986
C₄²⋊C₂.₁₀C₁₀ = C₅×C₂³.₃₂C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.10C10	320,1521
C₄²⋊C₂.₁₁C₁₀ = C₅×C₂³.₃₇C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.11C10	320,1535
C₄²⋊C₂.₁₂C₁₀ = C₅×C₂².₃₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.12C10	320,1543
C₄²⋊C₂.₁₃C₁₀ = C₅×C₂³.₄₁C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊C₂	160		C4^2:C2.13C10	320,1546
C₄²⋊C₂.₁₄C₁₀ = C₅×C₈○₂M₄(2)	φ: trivial image	160		C4^2:C2.14C10	320,906

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