Extensions 1→N→G→Q→1 with N=C₄⋊₁D₄ and Q=D₅

Direct product G=N×Q with N=C₄⋊₁D₄ and Q=D₅

		d	ρ	Label	ID
D₅×C₄⋊₁D₄		80		D5xC4:1D4	320,1386

Semidirect products G=N:Q with N=C₄⋊₁D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊₁D₄⋊₁D₅ = C₂₀⋊₂D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:1D5	320,699
C₄⋊₁D₄⋊₂D₅ = C₂₀⋊D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:2D5	320,700
C₄⋊₁D₄⋊₃D₅ = C₄².₇₄D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:3D5	320,701
C₄⋊₁D₄⋊₄D₅ = D₂₀⋊₅D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	40	4	C4:1D4:4D5	320,704
C₄⋊₁D₄⋊₅D₅ = C₄²⋊₂₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	80		C4:1D4:5D5	320,1387
C₄⋊₁D₄⋊₆D₅ = D₂₀⋊₁₁D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	80		C4:1D4:6D5	320,1389
C₄⋊₁D₄⋊₇D₅ = Dic₁₀⋊₁₁D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:7D5	320,1390
C₄⋊₁D₄⋊₈D₅ = C₄².₁₆₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4:8D5	320,1391
C₄⋊₁D₄⋊₉D₅ = C₄²⋊₂₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	80		C4:1D4:9D5	320,1392
C₄⋊₁D₄⋊₁₀D₅ = C₄².₂₃₈D₁₀	φ: trivial image	160		C4:1D4:10D5	320,1388

Non-split extensions G=N.Q with N=C₄⋊₁D₄ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊₁D₄.₁D₅ = C₂₀.₉D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.1D5	320,102
C₄⋊₁D₄.₂D₅ = C₄²⋊₃Dic₅	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	40	4	C4:1D4.2D5	320,103
C₄⋊₁D₄.₃D₅ = C₂₀.₁₆D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.3D5	320,697
C₄⋊₁D₄.₄D₅ = C₄².₇₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.4D5	320,698
C₄⋊₁D₄.₅D₅ = Dic₁₀⋊₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.5D5	320,702
C₄⋊₁D₄.₆D₅ = C₂₀⋊₄SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.6D5	320,703
C₄⋊₁D₄.₇D₅ = C₄².₁₆₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊₁D₄	160		C4:1D4.7D5	320,1385

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