Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂xF₅

Direct product G=NxQ with N=D₄ and Q=C₂xF₅

		d	ρ	Label	ID
C₂xD₄xF₅		40		C2xD4xF5	320,1595

Semidirect products G=N:Q with N=D₄ and Q=C₂xF₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁(C₂xF₅) = D₈xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₄	40	8+	D4:1(C2xF5)	320,1068
D₄:₂(C₂xF₅) = D₄₀:C₄	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₄	40	8+	D4:2(C2xF5)	320,1069
D₄:₃(C₂xF₅) = C₂xD₂₀:C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₄	80		D4:3(C2xF5)	320,1104
D₄:₄(C₂xF₅) = C₂xD₄:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₄	80		D4:4(C2xF5)	320,1106
D₄:₅(C₂xF₅) = D₅:C₄wrC₂	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₄	40	8	D4:5(C2xF5)	320,1130
D₄:₆(C₂xF₅) = C₄oD₄:F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₄	40	8	D4:6(C2xF5)	320,1131
D₄:₇(C₂xF₅) = D₁₀.C₂⁴	φ: trivial image	40	8+	D4:7(C2xF5)	320,1596
D₄:₈(C₂xF₅) = C₄oD₄xF₅	φ: trivial image	40	8	D4:8(C2xF5)	320,1603
D₄:₉(C₂xF₅) = D₅.2₊¹⁺⁴	φ: trivial image	40	8	D4:9(C2xF5)	320,1604

Non-split extensions G=N.Q with N=D₄ and Q=C₂xF₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁(C₂xF₅) = D₈:₅F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₄	80	8-	D4.1(C2xF5)	320,1070
D₄.₂(C₂xF₅) = D₈:F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₄	80	8-	D4.2(C2xF5)	320,1071
D₄.₃(C₂xF₅) = SD₁₆xF₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₄	40	8	D4.3(C2xF5)	320,1072
D₄.₄(C₂xF₅) = SD₁₆:F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₄	40	8	D4.4(C2xF5)	320,1073
D₄.₅(C₂xF₅) = SD₁₆:₃F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₄	80	8	D4.5(C2xF5)	320,1074
D₄.₆(C₂xF₅) = SD₁₆:₂F₅	φ: C₂xF₅/F₅ → C₂ ⊆ Out D₄	80	8	D4.6(C2xF5)	320,1075
D₄.₇(C₂xF₅) = (D₄xC₁₀):C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₄	40	8+	D4.7(C2xF5)	320,1105
D₄.₈(C₂xF₅) = (C₂xD₄):₆F₅	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₄	80	8-	D4.8(C2xF5)	320,1107
D₄.₉(C₂xF₅) = C₄oD₂₀:C₄	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₄	80	8	D4.9(C2xF5)	320,1132
D₄.₁₀(C₂xF₅) = D₄:F₅:C₂	φ: C₂xF₅/D₁₀ → C₂ ⊆ Out D₄	80	8	D4.10(C2xF5)	320,1133
D₄.₁₁(C₂xF₅) = C₂xD₄.F₅	φ: trivial image	160		D4.11(C2xF5)	320,1593
D₄.₁₂(C₂xF₅) = Dic₅.C₂⁴	φ: trivial image	80	8-	D4.12(C2xF5)	320,1594
D₄.₁₃(C₂xF₅) = Dic₅.₂₁C₂⁴	φ: trivial image	80	8	D4.13(C2xF5)	320,1601
D₄.₁₄(C₂xF₅) = Dic₅.₂₂C₂⁴	φ: trivial image	80	8	D4.14(C2xF5)	320,1602

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