Extensions 1→N→G→Q→1 with N=C₂²⋊C₈ and Q=C₁₀

Direct product G=N×Q with N=C₂²⋊C₈ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₂²⋊C₈		160		C10xC2^2:C8	320,907

Semidirect products G=N:Q with N=C₂²⋊C₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈⋊₁C₁₀ = C₅×C₂³⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:1C10	320,128
C₂²⋊C₈⋊₂C₁₀ = C₅×C₂².SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:2C10	320,132
C₂²⋊C₈⋊₃C₁₀ = C₅×C₂²⋊D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:3C10	320,948
C₂²⋊C₈⋊₄C₁₀ = C₅×C₂².D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:4C10	320,981
C₂²⋊C₈⋊₅C₁₀ = C₅×D₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:5C10	320,950
C₂²⋊C₈⋊₆C₁₀ = C₅×D₄.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:6C10	320,953
C₂²⋊C₈⋊₇C₁₀ = C₅×C₂³.₁₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:7C10	320,983
C₂²⋊C₈⋊₈C₁₀ = C₅×Q₈⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:8C10	320,949
C₂²⋊C₈⋊₉C₁₀ = C₅×C₂²⋊SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:9C10	320,951
C₂²⋊C₈⋊₁₀C₁₀ = C₅×C₂³.₄₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:10C10	320,982
C₂²⋊C₈⋊₁₁C₁₀ = C₅×C₂⁴.₄C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:11C10	320,908
C₂²⋊C₈⋊₁₂C₁₀ = C₅×(C₂²×C₈)⋊C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:12C10	320,909
C₂²⋊C₈⋊₁₃C₁₀ = C₅×C₈⋊₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:13C10	320,936
C₂²⋊C₈⋊₁₄C₁₀ = C₅×C₈⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:14C10	320,937
C₂²⋊C₈⋊₁₅C₁₀ = D₄×C₄₀	φ: trivial image	160		C2^2:C8:15C10	320,935

Non-split extensions G=N.Q with N=C₂²⋊C₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈.₁C₁₀ = C₅×C₂².M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.1C10	320,129
C₂²⋊C₈.₂C₁₀ = C₅×C₂³.₃₁D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8.2C10	320,133
C₂²⋊C₈.₃C₁₀ = C₅×C₂²⋊Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.3C10	320,952
C₂²⋊C₈.₄C₁₀ = C₅×C₂³.₄₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.4C10	320,985
C₂²⋊C₈.₅C₁₀ = C₅×C₂³.₂₀D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.5C10	320,986
C₂²⋊C₈.₆C₁₀ = C₅×C₂³.₄₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.6C10	320,984
C₂²⋊C₈.₇C₁₀ = C₅×C₄².₆C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.7C10	320,933
C₂²⋊C₈.₈C₁₀ = C₅×C₄².₇C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.8C10	320,934
C₂²⋊C₈.₉C₁₀ = C₅×C₄².₁₂C₄	φ: trivial image	160		C2^2:C8.9C10	320,932

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