Extensions 1→N→G→Q→1 with N=D₄ and Q=C₄xD₅

Direct product G=NxQ with N=D₄ and Q=C₄xD₅

		d	ρ	Label	ID
C₄xD₄xD₅		80		C4xD4xD5	320,1216

Semidirect products G=N:Q with N=D₄ and Q=C₄xD₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₄xD₅) = Dic₅:₄D₈	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out D₄	160		D4:1(C4xD5)	320,383
D₄:₂(C₄xD₅) = D₄:D₅:₆C₄	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out D₄	160		D4:2(C4xD5)	320,412
D₄:₃(C₄xD₅) = C₄xD₄:D₅	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out D₄	160		D4:3(C4xD5)	320,640
D₄:₄(C₄xD₅) = C₄².₄₈D₁₀	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out D₄	160		D4:4(C4xD5)	320,641
D₄:₅(C₄xD₅) = D₅xD₄:C₄	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out D₄	80		D4:5(C4xD5)	320,396
D₄:₆(C₄xD₅) = D₄:(C₄xD₅)	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out D₄	160		D4:6(C4xD5)	320,398
D₄:₇(C₄xD₅) = D₅xC₄wrC₂	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out D₄	40	4	D4:7(C4xD5)	320,447
D₄:₈(C₄xD₅) = C₄xD₄:₂D₅	φ: trivial image	160		D4:8(C4xD5)	320,1208
D₄:₉(C₄xD₅) = C₄²:₁₁D₁₀	φ: trivial image	80		D4:9(C4xD5)	320,1217
D₄:₁₀(C₄xD₅) = C₄².₁₀₈D₁₀	φ: trivial image	160		D4:10(C4xD5)	320,1218

Non-split extensions G=N.Q with N=D₄ and Q=C₄xD₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₄xD₅) = D₄.D₅:₅C₄	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out D₄	160		D4.1(C4xD5)	320,384
D₄.₂(C₄xD₅) = Dic₅:₆SD₁₆	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out D₄	160		D4.2(C4xD5)	320,385
D₄.₃(C₄xD₅) = M₄(2).₂₂D₁₀	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out D₄	80	4	D4.3(C4xD5)	320,450
D₄.₄(C₄xD₅) = C₄².₁₉₆D₁₀	φ: C₄xD₅/Dic₅ → C₂ ⊆ Out D₄	80	4	D4.4(C4xD5)	320,451
D₄.₅(C₄xD₅) = C₄xD₄.D₅	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out D₄	160		D4.5(C4xD5)	320,644
D₄.₆(C₄xD₅) = C₄².₅₁D₁₀	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out D₄	160		D4.6(C4xD5)	320,645
D₄.₇(C₄xD₅) = C₄₀.₉₃D₄	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out D₄	80	4	D4.7(C4xD5)	320,771
D₄.₈(C₄xD₅) = C₄₀.₅₀D₄	φ: C₄xD₅/C₂₀ → C₂ ⊆ Out D₄	80	4	D4.8(C4xD5)	320,772
D₄.₉(C₄xD₅) = (D₄xD₅):C₄	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out D₄	80		D4.9(C4xD5)	320,397
D₄.₁₀(C₄xD₅) = D₄:₂D₅:C₄	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out D₄	160		D4.10(C4xD5)	320,399
D₄.₁₁(C₄xD₅) = C₄²:D₁₀	φ: C₄xD₅/D₁₀ → C₂ ⊆ Out D₄	80	4	D4.11(C4xD5)	320,448
D₄.₁₂(C₄xD₅) = D₅xC₈oD₄	φ: trivial image	80	4	D4.12(C4xD5)	320,1421
D₄.₁₃(C₄xD₅) = C₂₀.₇₂C₂⁴	φ: trivial image	80	4	D4.13(C4xD5)	320,1422

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