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

Direct product G=N×Q with N=C₄⋊₁D₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄⋊₁D₄		160		C10xC4:1D4	320,1532

Semidirect products G=N:Q with N=C₄⋊₁D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊₁D₄⋊₁C₁₀ = C₅×D₄⋊₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	40	4	C4:1D4:1C10	320,954
C₄⋊₁D₄⋊₂C₁₀ = C₅×C₄⋊D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:2C10	320,960
C₄⋊₁D₄⋊₃C₁₀ = C₅×C₈⋊₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:3C10	320,994
C₄⋊₁D₄⋊₄C₁₀ = C₅×C₈⋊₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:4C10	320,997
C₄⋊₁D₄⋊₅C₁₀ = C₅×C₂².₂₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	80		C4:1D4:5C10	320,1537
C₄⋊₁D₄⋊₆C₁₀ = C₅×C₂².₃₄C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:6C10	320,1542
C₄⋊₁D₄⋊₇C₁₀ = C₅×D₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	80		C4:1D4:7C10	320,1547
C₄⋊₁D₄⋊₈C₁₀ = C₅×Q₈⋊₆D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:8C10	320,1552
C₄⋊₁D₄⋊₉C₁₀ = C₅×C₂².₅₄C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	80		C4:1D4:9C10	320,1562
C₄⋊₁D₄⋊₁₀C₁₀ = C₅×C₂².₂₆C₂⁴	φ: trivial image	160		C4:1D4:10C10	320,1534

Non-split extensions G=N.Q with N=C₄⋊₁D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊₁D₄.₁C₁₀ = C₅×C₄.D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.1C10	320,136
C₄⋊₁D₄.₂C₁₀ = C₅×C₄²⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	40	4	C4:1D4.2C10	320,158
C₄⋊₁D₄.₃C₁₀ = C₅×C₄⋊SD₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.3C10	320,961
C₄⋊₁D₄.₄C₁₀ = C₅×C₄.₄D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.4C10	320,987
C₄⋊₁D₄.₅C₁₀ = C₅×C₄².₂₉C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.5C10	320,991
C₄⋊₁D₄.₆C₁₀ = C₅×C₈⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.6C10	320,993
C₄⋊₁D₄.₇C₁₀ = C₅×C₂².₅₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.7C10	320,1561

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