Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂×F₅

Direct product G=N×Q with N=Q₈ and Q=C₂×F₅

		d	ρ	Label	ID
C₂×Q₈×F₅		80		C2xQ8xF5	320,1599

Semidirect products G=N:Q with N=Q₈ and Q=C₂×F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₂×F₅) = SD₁₆×F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Q₈	40	8	Q8:1(C2xF5)	320,1072
Q₈⋊₂(C₂×F₅) = SD₁₆⋊F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Q₈	40	8	Q8:2(C2xF5)	320,1073
Q₈⋊₃(C₂×F₅) = C₂×Q₈⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Q₈	80		Q8:3(C2xF5)	320,1119
Q₈⋊₄(C₂×F₅) = C₂×Q₈⋊₂F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Q₈	80		Q8:4(C2xF5)	320,1121
Q₈⋊₅(C₂×F₅) = D₅⋊C₄≀C₂	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Q₈	40	8	Q8:5(C2xF5)	320,1130
Q₈⋊₆(C₂×F₅) = C₄○D₄⋊F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Q₈	40	8	Q8:6(C2xF5)	320,1131
Q₈⋊₇(C₂×F₅) = C₄○D₄×F₅	φ: trivial image	40	8	Q8:7(C2xF5)	320,1603
Q₈⋊₈(C₂×F₅) = D₅.2₊¹⁺⁴	φ: trivial image	40	8	Q8:8(C2xF5)	320,1604

Non-split extensions G=N.Q with N=Q₈ and Q=C₂×F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₂×F₅) = SD₁₆⋊₃F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Q₈	80	8	Q8.1(C2xF5)	320,1074
Q₈.₂(C₂×F₅) = SD₁₆⋊₂F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Q₈	80	8	Q8.2(C2xF5)	320,1075
Q₈.₃(C₂×F₅) = Q₁₆×F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Q₈	80	8-	Q8.3(C2xF5)	320,1076
Q₈.₄(C₂×F₅) = Dic₂₀⋊C₄	φ: C₂×F₅/F₅ → C₂ ⊆ Out Q₈	80	8-	Q8.4(C2xF5)	320,1077
Q₈.₅(C₂×F₅) = Q₁₆⋊₅F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Q₈	80	8+	Q8.5(C2xF5)	320,1078
Q₈.₆(C₂×F₅) = Q₁₆⋊F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Out Q₈	80	8+	Q8.6(C2xF5)	320,1079
Q₈.₇(C₂×F₅) = (C₂×Q₈)⋊₄F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Q₈	80	8-	Q8.7(C2xF5)	320,1120
Q₈.₈(C₂×F₅) = (C₂×Q₈)⋊₆F₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Q₈	80	8+	Q8.8(C2xF5)	320,1122
Q₈.₉(C₂×F₅) = C₄○D₂₀⋊C₄	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Q₈	80	8	Q8.9(C2xF5)	320,1132
Q₈.₁₀(C₂×F₅) = D₄⋊F₅⋊C₂	φ: C₂×F₅/D₁₀ → C₂ ⊆ Out Q₈	80	8	Q8.10(C2xF5)	320,1133
Q₈.₁₁(C₂×F₅) = C₂×Q₈.F₅	φ: trivial image	160		Q8.11(C2xF5)	320,1597
Q₈.₁₂(C₂×F₅) = Dic₅.₂₀C₂⁴	φ: trivial image	80	8+	Q8.12(C2xF5)	320,1598
Q₈.₁₃(C₂×F₅) = D₅.2_-¹⁺⁴	φ: trivial image	80	8-	Q8.13(C2xF5)	320,1600
Q₈.₁₄(C₂×F₅) = Dic₅.₂₁C₂⁴	φ: trivial image	80	8	Q8.14(C2xF5)	320,1601
Q₈.₁₅(C₂×F₅) = Dic₅.₂₂C₂⁴	φ: trivial image	80	8	Q8.15(C2xF5)	320,1602

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