Extensions 1→N→G→Q→1 with N=C₄⋊C₈ and Q=D₅

Direct product G=N×Q with N=C₄⋊C₈ and Q=D₅

		d	ρ	Label	ID
D₅×C₄⋊C₈		160		D5xC4:C8	320,459

Semidirect products G=N:Q with N=C₄⋊C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈⋊₁D₅ = D₂₀⋊₄C₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:1D5	320,41
C₄⋊C₈⋊₂D₅ = C₄.D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:2D5	320,43
C₄⋊C₈⋊₃D₅ = C₄⋊D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:3D5	320,470
C₄⋊C₈⋊₄D₅ = D₂₀⋊₄Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:4D5	320,473
C₄⋊C₈⋊₅D₅ = D₂₀.₁₉D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:5D5	320,471
C₄⋊C₈⋊₆D₅ = C₄².₃₆D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:6D5	320,472
C₄⋊C₈⋊₇D₅ = D₂₀.₃Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:7D5	320,474
C₄⋊C₈⋊₈D₅ = C₂₀⋊SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:8D5	320,468
C₄⋊C₈⋊₉D₅ = D₂₀⋊₃Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:9D5	320,469
C₄⋊C₈⋊₁₀D₅ = Dic₁₀⋊₈D₄	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:10D5	320,475
C₄⋊C₈⋊₁₁D₅ = C₄².₂₀₂D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:11D5	320,462
C₄⋊C₈⋊₁₂D₅ = D₁₀⋊₅M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:12D5	320,463
C₄⋊C₈⋊₁₃D₅ = C₂₀⋊₅M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:13D5	320,464
C₄⋊C₈⋊₁₄D₅ = C₂₀⋊₆M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:14D5	320,465
C₄⋊C₈⋊₁₅D₅ = C₄².₃₀D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:15D5	320,466
C₄⋊C₈⋊₁₆D₅ = C₄².₃₁D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	160		C4:C8:16D5	320,467
C₄⋊C₈⋊₁₇D₅ = C₄².₂₀₀D₁₀	φ: trivial image	160		C4:C8:17D5	320,460
C₄⋊C₈⋊₁₈D₅ = D₂₀⋊₅C₈	φ: trivial image	160		C4:C8:18D5	320,461

Non-split extensions G=N.Q with N=C₄⋊C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₈.₁D₅ = C₂₀.₅₃D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.1D5	320,37
C₄⋊C₈.₂D₅ = C₂₀.₃₉SD₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.2D5	320,38
C₄⋊C₈.₃D₅ = C₄.Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.3D5	320,39
C₄⋊C₈.₄D₅ = C₂₀.₄₇D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.4D5	320,40
C₄⋊C₈.₅D₅ = Dic₁₀⋊₄C₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.5D5	320,42
C₄⋊C₈.₆D₅ = C₂₀.₂D₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.6D5	320,44
C₄⋊C₈.₇D₅ = C₄⋊Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.7D5	320,476
C₄⋊C₈.₈D₅ = C₂₀.₇Q₁₆	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.8D5	320,477
C₄⋊C₈.₉D₅ = Dic₁₀.₃Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.9D5	320,456
C₄⋊C₈.₁₀D₅ = Dic₁₀⋊₄Q₈	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.10D5	320,478
C₄⋊C₈.₁₁D₅ = Dic₅.₅M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.11D5	320,455
C₄⋊C₈.₁₂D₅ = C₄².₁₉₈D₁₀	φ: D₅/C₅ → C₂ ⊆ Out C₄⋊C₈	320		C4:C8.12D5	320,458
C₄⋊C₈.₁₃D₅ = Dic₁₀⋊₅C₈	φ: trivial image	320		C4:C8.13D5	320,457

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