Extensions 1→N→G→Q→1 with N=D₄⋊C₄ and Q=C₁₀

Direct product G=N×Q with N=D₄⋊C₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×D₄⋊C₄		160		C10xD4:C4	320,915

Semidirect products G=N:Q with N=D₄⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	Label	ID
D₄⋊C₄⋊₁C₁₀ = C₅×C₈⋊₈D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:1C10	320,966
D₄⋊C₄⋊₂C₁₀ = C₅×C₈⋊₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:2C10	320,967
D₄⋊C₄⋊₃C₁₀ = C₅×C₄.₄D₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:3C10	320,987
D₄⋊C₄⋊₄C₁₀ = C₅×C₂²⋊D₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	80	D4:C4:4C10	320,948
D₄⋊C₄⋊₅C₁₀ = C₅×D₄.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:5C10	320,953
D₄⋊C₄⋊₆C₁₀ = C₅×C₄⋊D₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:6C10	320,960
D₄⋊C₄⋊₇C₁₀ = C₅×C₂².D₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:7C10	320,981
D₄⋊C₄⋊₈C₁₀ = C₅×D₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:8C10	320,950
D₄⋊C₄⋊₉C₁₀ = C₅×C₂²⋊SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	80	D4:C4:9C10	320,951
D₄⋊C₄⋊₁₀C₁₀ = C₅×C₄⋊SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:10C10	320,961
D₄⋊C₄⋊₁₁C₁₀ = C₅×D₄.₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:11C10	320,964
D₄⋊C₄⋊₁₂C₁₀ = C₅×C₂³.₄₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:12C10	320,982
D₄⋊C₄⋊₁₃C₁₀ = C₅×C₂³.₁₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:13C10	320,983
D₄⋊C₄⋊₁₄C₁₀ = C₅×C₂³.₃₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:14C10	320,918
D₄⋊C₄⋊₁₅C₁₀ = C₅×C₂³.₃₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	80	D4:C4:15C10	320,919
D₄⋊C₄⋊₁₆C₁₀ = C₅×D₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:16C10	320,943
D₄⋊C₄⋊₁₇C₁₀ = C₅×C₈⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:17C10	320,969
D₄⋊C₄⋊₁₈C₁₀ = C₅×C₈⋊₂D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:18C10	320,970
D₄⋊C₄⋊₁₉C₁₀ = C₅×C₄².₂₉C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4:19C10	320,991
D₄⋊C₄⋊₂₀C₁₀ = C₅×C₂³.₂₄D₄	φ: trivial image	160	D4:C4:20C10	320,917
D₄⋊C₄⋊₂₁C₁₀ = D₈×C₂₀	φ: trivial image	160	D4:C4:21C10	320,938

Non-split extensions G=N.Q with N=D₄⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	Label	ID
D₄⋊C₄.₁C₁₀ = C₅×C₄².₇₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.1C10	320,989
D₄⋊C₄.₂C₁₀ = C₅×Q₈.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.2C10	320,965
D₄⋊C₄.₃C₁₀ = C₅×D₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.3C10	320,975
D₄⋊C₄.₄C₁₀ = C₅×D₄.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.4C10	320,979
D₄⋊C₄.₅C₁₀ = C₅×D₄⋊₂Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.5C10	320,977
D₄⋊C₄.₆C₁₀ = C₅×SD₁₆⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.6C10	320,941
D₄⋊C₄.₇C₁₀ = C₅×C₄².₂₈C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out D₄⋊C₄	160	D4:C4.7C10	320,990
D₄⋊C₄.₈C₁₀ = SD₁₆×C₂₀	φ: trivial image	160	D4:C4.8C10	320,939

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Extensions 1→N→G→Q→1 with N=D4⋊C4 and Q=C10

Extensions 1→N→G→Q→1 with N=D₄⋊C₄ and Q=C₁₀