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

Direct product G=N×Q with N=C₂²⋊Q₈ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₂²⋊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 = C₅×C₂²⋊SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:1C10	320,951
C₂²⋊Q₈⋊₂C₁₀ = C₅×D₄.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:2C10	320,953
C₂²⋊Q₈⋊₃C₁₀ = C₅×C₈⋊₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:3C10	320,966
C₂²⋊Q₈⋊₄C₁₀ = C₅×C₈⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:4C10	320,969
C₂²⋊Q₈⋊₅C₁₀ = C₅×C₂³.₃₈C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:5C10	320,1538
C₂²⋊Q₈⋊₆C₁₀ = C₅×C₂².₃₁C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:6C10	320,1539
C₂²⋊Q₈⋊₇C₁₀ = C₅×C₂².₃₂C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:7C10	320,1540
C₂²⋊Q₈⋊₈C₁₀ = C₅×C₂².₃₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:8C10	320,1541
C₂²⋊Q₈⋊₉C₁₀ = C₅×C₂².₃₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:9C10	320,1544
C₂²⋊Q₈⋊₁₀C₁₀ = C₅×C₂³⋊₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:10C10	320,1545
C₂²⋊Q₈⋊₁₁C₁₀ = C₅×D₄⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:11C10	320,1548
C₂²⋊Q₈⋊₁₂C₁₀ = C₅×D₄⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:12C10	320,1549
C₂²⋊Q₈⋊₁₃C₁₀ = C₅×Q₈⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:13C10	320,1550
C₂²⋊Q₈⋊₁₄C₁₀ = C₅×D₄×Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:14C10	320,1551
C₂²⋊Q₈⋊₁₅C₁₀ = C₅×C₂².₄₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8:15C10	320,1553
C₂²⋊Q₈⋊₁₆C₁₀ = C₅×C₂².₄₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:16C10	320,1554
C₂²⋊Q₈⋊₁₇C₁₀ = C₅×D₄⋊₃Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:17C10	320,1556
C₂²⋊Q₈⋊₁₈C₁₀ = C₅×C₂².₅₀C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:18C10	320,1558
C₂²⋊Q₈⋊₁₉C₁₀ = C₅×C₂².₅₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:19C10	320,1564
C₂²⋊Q₈⋊₂₀C₁₀ = C₅×C₂².₅₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8:20C10	320,1565
C₂²⋊Q₈⋊₂₁C₁₀ = C₅×C₂².₁₉C₂⁴	φ: trivial image	80	C2^2:Q8:21C10	320,1527
C₂²⋊Q₈⋊₂₂C₁₀ = C₅×C₂³.₃₆C₂³	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 = C₅×C₂³.₃₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	80	C2^2:Q8.1C10	320,133
C₂²⋊Q₈.₂C₁₀ = C₅×C₂²⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.2C10	320,952
C₂²⋊Q₈.₃C₁₀ = C₅×C₈.₁₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.3C10	320,968
C₂²⋊Q₈.₄C₁₀ = C₅×C₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.4C10	320,971
C₂²⋊Q₈.₅C₁₀ = C₅×C₂³.₄₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.5C10	320,984
C₂²⋊Q₈.₆C₁₀ = C₅×C₂³.₄₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.6C10	320,985
C₂²⋊Q₈.₇C₁₀ = C₅×C₂³.₂₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.7C10	320,986
C₂²⋊Q₈.₈C₁₀ = C₅×C₂².₃₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.8C10	320,1543
C₂²⋊Q₈.₉C₁₀ = C₅×C₂³.₄₁C₂³	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊Q₈	160	C2^2:Q8.9C10	320,1546
C₂²⋊Q₈.₁₀C₁₀ = C₅×C₂³.₃₇C₂³	φ: trivial image	160	C2^2:Q8.10C10	320,1535

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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