Extensions 1→N→G→Q→1 with N=C₄⋊C₈ and Q=C₁₀

Direct product G=N×Q with N=C₄⋊C₈ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄⋊C₈		320		C10xC4:C8	320,923

Semidirect products G=N:Q with N=C₄⋊C₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈⋊₁C₁₀ = C₅×D₄⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:1C10	320,130
C₄⋊C₈⋊₂C₁₀ = C₅×C₄.D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:2C10	320,136
C₄⋊C₈⋊₃C₁₀ = C₅×C₄⋊D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:3C10	320,960
C₄⋊C₈⋊₄C₁₀ = C₅×D₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:4C10	320,975
C₄⋊C₈⋊₅C₁₀ = C₅×D₄.₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:5C10	320,964
C₄⋊C₈⋊₆C₁₀ = C₅×Q₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:6C10	320,965
C₄⋊C₈⋊₇C₁₀ = C₅×D₄.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:7C10	320,979
C₄⋊C₈⋊₈C₁₀ = C₅×C₄⋊SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:8C10	320,961
C₄⋊C₈⋊₉C₁₀ = C₅×D₄.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:9C10	320,962
C₄⋊C₈⋊₁₀C₁₀ = C₅×D₄⋊₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:10C10	320,977
C₄⋊C₈⋊₁₁C₁₀ = C₅×C₄⋊M₄(2)	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:11C10	320,924
C₄⋊C₈⋊₁₂C₁₀ = C₅×C₄².₆C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:12C10	320,925
C₄⋊C₈⋊₁₃C₁₀ = C₅×C₄².₆C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:13C10	320,933
C₄⋊C₈⋊₁₄C₁₀ = C₅×C₄².₇C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:14C10	320,934
C₄⋊C₈⋊₁₅C₁₀ = C₅×C₈⋊₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:15C10	320,936
C₄⋊C₈⋊₁₆C₁₀ = C₅×C₈⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:16C10	320,937
C₄⋊C₈⋊₁₇C₁₀ = C₅×C₄².₁₂C₄	φ: trivial image	160		C4:C8:17C10	320,932
C₄⋊C₈⋊₁₈C₁₀ = D₄×C₄₀	φ: trivial image	160		C4:C8:18C10	320,935

Non-split extensions G=N.Q with N=C₄⋊C₈ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈.₁C₁₀ = C₅×Q₈⋊C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.1C10	320,131
C₄⋊C₈.₂C₁₀ = C₅×C₄.₁₀D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.2C10	320,137
C₄⋊C₈.₃C₁₀ = C₅×C₄.₆Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.3C10	320,138
C₄⋊C₈.₄C₁₀ = C₅×C₈⋊₂C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.4C10	320,139
C₄⋊C₈.₅C₁₀ = C₅×C₈⋊₁C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.5C10	320,140
C₄⋊C₈.₆C₁₀ = C₅×C₄⋊₂Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.6C10	320,963
C₄⋊C₈.₇C₁₀ = C₅×C₄.Q₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.7C10	320,978
C₄⋊C₈.₈C₁₀ = C₅×Q₈.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.8C10	320,980
C₄⋊C₈.₉C₁₀ = C₅×Q₈⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.9C10	320,976
C₄⋊C₈.₁₀C₁₀ = C₅×C₈⋊₄Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.10C10	320,947
C₄⋊C₈.₁₁C₁₀ = Q₈×C₄₀	φ: trivial image	320		C4:C8.11C10	320,946

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