Extensions 1→N→G→Q→1 with N=C₂²:Q₈ and Q=C₁₀

Direct product G=NxQ with N=C₂²:Q₈ and Q=C₁₀

		d	ρ	Label	ID
C₁₀xC₂²:Q₈		160		C10xC2^2:Q8	320,1525

Semidirect products G=N:Q with N=C₂²:Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	Label	ID
C₂²:Q₈:₁C₁₀ = C₅xC₂²:SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	80	C2^2:Q8:1C10	320,951
C₂²:Q₈:₂C₁₀ = C₅xD₄.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:2C10	320,953
C₂²:Q₈:₃C₁₀ = C₅xC₈:₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:3C10	320,966
C₂²:Q₈:₄C₁₀ = C₅xC₈:D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:4C10	320,969
C₂²:Q₈:₅C₁₀ = C₅xC₂³.₃₈C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:5C10	320,1538
C₂²:Q₈:₆C₁₀ = C₅xC₂².₃₁C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:6C10	320,1539
C₂²:Q₈:₇C₁₀ = C₅xC₂².₃₂C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	80	C2^2:Q8:7C10	320,1540
C₂²:Q₈:₈C₁₀ = C₅xC₂².₃₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:8C10	320,1541
C₂²:Q₈:₉C₁₀ = C₅xC₂².₃₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:9C10	320,1544
C₂²:Q₈:₁₀C₁₀ = C₅xC₂³:₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	80	C2^2:Q8:10C10	320,1545
C₂²:Q₈:₁₁C₁₀ = C₅xD₄:₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	80	C2^2:Q8:11C10	320,1548
C₂²:Q₈:₁₂C₁₀ = C₅xD₄:₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:12C10	320,1549
C₂²:Q₈:₁₃C₁₀ = C₅xQ₈:₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:13C10	320,1550
C₂²:Q₈:₁₄C₁₀ = C₅xD₄xQ₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:14C10	320,1551
C₂²:Q₈:₁₅C₁₀ = C₅xC₂².₄₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	80	C2^2:Q8:15C10	320,1553
C₂²:Q₈:₁₆C₁₀ = C₅xC₂².₄₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:16C10	320,1554
C₂²:Q₈:₁₇C₁₀ = C₅xD₄:₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:17C10	320,1556
C₂²:Q₈:₁₈C₁₀ = C₅xC₂².₅₀C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:18C10	320,1558
C₂²:Q₈:₁₉C₁₀ = C₅xC₂².₅₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:19C10	320,1564
C₂²:Q₈:₂₀C₁₀ = C₅xC₂².₅₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8:20C10	320,1565
C₂²:Q₈:₂₁C₁₀ = C₅xC₂².₁₉C₂⁴	φ: trivial image	80	C2^2:Q8:21C10	320,1527
C₂²:Q₈:₂₂C₁₀ = C₅xC₂³.₃₆C₂³	φ: trivial image	160	C2^2:Q8:22C10	320,1531

Non-split extensions G=N.Q with N=C₂²:Q₈ and Q=C₁₀

extension	φ:Q→Out N	d	Label	ID
C₂²:Q₈.₁C₁₀ = C₅xC₂³.₃₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	80	C2^2:Q8.1C10	320,133
C₂²:Q₈.₂C₁₀ = C₅xC₂²:Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8.2C10	320,952
C₂²:Q₈.₃C₁₀ = C₅xC₈.₁₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8.3C10	320,968
C₂²:Q₈.₄C₁₀ = C₅xC₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8.4C10	320,971
C₂²:Q₈.₅C₁₀ = C₅xC₂³.₄₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8.5C10	320,984
C₂²:Q₈.₆C₁₀ = C₅xC₂³.₄₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8.6C10	320,985
C₂²:Q₈.₇C₁₀ = C₅xC₂³.₂₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8.7C10	320,986
C₂²:Q₈.₈C₁₀ = C₅xC₂².₃₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8.8C10	320,1543
C₂²:Q₈.₉C₁₀ = C₅xC₂³.₄₁C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²:Q₈	160	C2^2:Q8.9C10	320,1546
C₂²:Q₈.₁₀C₁₀ = C₅xC₂³.₃₇C₂³	φ: trivial image	160	C2^2:Q8.10C10	320,1535

Extensions 1→N→G→Q→1 with N=C22:Q8 and Q=C10

Extensions 1→N→G→Q→1 with N=C₂²:Q₈ and Q=C₁₀