Extensions 1→N→G→Q→1 with N=C₂²⋊C₈ and Q=D₅

Direct product G=N×Q with N=C₂²⋊C₈ and Q=D₅

		d	ρ	Label	ID
D₅×C₂²⋊C₈		80		D5xC2^2:C8	320,351

Semidirect products G=N:Q with N=C₂²⋊C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈⋊₁D₅ = C₅⋊₃(C₂³⋊C₈)	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:1D5	320,26
C₂²⋊C₈⋊₂D₅ = C₂².₂D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:2D5	320,28
C₂²⋊C₈⋊₃D₅ = D₂₀⋊₁₃D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:3D5	320,359
C₂²⋊C₈⋊₄D₅ = C₂².D₄₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:4D5	320,363
C₂²⋊C₈⋊₅D₅ = D₂₀.₃₂D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:5D5	320,360
C₂²⋊C₈⋊₆D₅ = D₂₀⋊₁₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:6D5	320,361
C₂²⋊C₈⋊₇D₅ = C₂³.₁₃D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:7D5	320,364
C₂²⋊C₈⋊₈D₅ = D₂₀.₃₁D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:8D5	320,358
C₂²⋊C₈⋊₉D₅ = C₂³.₃₈D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:9D5	320,362
C₂²⋊C₈⋊₁₀D₅ = Dic₁₀⋊₁₄D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:10D5	320,365
C₂²⋊C₈⋊₁₁D₅ = D₁₀⋊₇M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8:11D5	320,353
C₂²⋊C₈⋊₁₂D₅ = C₂²⋊C₈⋊D₅	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:12D5	320,354
C₂²⋊C₈⋊₁₃D₅ = D₁₀⋊₄M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:13D5	320,355
C₂²⋊C₈⋊₁₄D₅ = Dic₅⋊₂M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:14D5	320,356
C₂²⋊C₈⋊₁₅D₅ = C₅⋊₂C₈⋊₂₆D₄	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8:15D5	320,357
C₂²⋊C₈⋊₁₆D₅ = C₅⋊₅(C₈×D₄)	φ: trivial image	160		C2^2:C8:16D5	320,352

Non-split extensions G=N.Q with N=C₂²⋊C₈ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈.₁D₅ = C₂³.₃₀D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	80		C2^2:C8.1D5	320,25
C₂²⋊C₈.₂D₅ = (C₂×Dic₅)⋊C₈	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.2D5	320,27
C₂²⋊C₈.₃D₅ = C₂³.₃₅D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.3D5	320,349
C₂²⋊C₈.₄D₅ = C₂²⋊Dic₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.4D5	320,366
C₂²⋊C₈.₅D₅ = C₂³.₁₀D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.5D5	320,350
C₂²⋊C₈.₆D₅ = C₂³.₃₄D₂₀	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.6D5	320,348
C₂²⋊C₈.₇D₅ = Dic₅.₉M₄(2)	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.7D5	320,346
C₂²⋊C₈.₈D₅ = C₄₀⋊₈C₄⋊C₂	φ: D₅/C₅ → C₂ ⊆ Out C₂²⋊C₈	160		C2^2:C8.8D5	320,347
C₂²⋊C₈.₉D₅ = Dic₅.₁₄M₄(2)	φ: trivial image	160		C2^2:C8.9D5	320,345

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