Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₄×D₅

Direct product G=N×Q with N=Q₈ and Q=C₄×D₅

		d	ρ	Label	ID
C₄×Q₈×D₅		160		C4xQ8xD5	320,1243

Semidirect products G=N:Q with N=Q₈ and Q=C₄×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁(C₄×D₅) = Dic₅⋊₇SD₁₆	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Q₈	160		Q8:1(C4xD5)	320,415
Q₈⋊₂(C₄×D₅) = Q₈⋊D₅⋊₆C₄	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Q₈	160		Q8:2(C4xD5)	320,444
Q₈⋊₃(C₄×D₅) = C₄×Q₈⋊D₅	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Q₈	160		Q8:3(C4xD5)	320,652
Q₈⋊₄(C₄×D₅) = C₄².₅₆D₁₀	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Q₈	160		Q8:4(C4xD5)	320,653
Q₈⋊₅(C₄×D₅) = D₅×Q₈⋊C₄	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Q₈	160		Q8:5(C4xD5)	320,428
Q₈⋊₆(C₄×D₅) = Q₈⋊(C₄×D₅)	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Q₈	160		Q8:6(C4xD5)	320,430
Q₈⋊₇(C₄×D₅) = D₅×C₄≀C₂	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Q₈	40	4	Q8:7(C4xD5)	320,447
Q₈⋊₈(C₄×D₅) = C₄×Q₈⋊₂D₅	φ: trivial image	160		Q8:8(C4xD5)	320,1245
Q₈⋊₉(C₄×D₅) = C₄².₁₂₆D₁₀	φ: trivial image	160		Q8:9(C4xD5)	320,1246

Non-split extensions G=N.Q with N=Q₈ and Q=C₄×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁(C₄×D₅) = C₅⋊Q₁₆⋊₅C₄	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Q₈	320		Q8.1(C4xD5)	320,416
Q₈.₂(C₄×D₅) = Dic₅⋊₄Q₁₆	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Q₈	320		Q8.2(C4xD5)	320,417
Q₈.₃(C₄×D₅) = M₄(2).₂₂D₁₀	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Q₈	80	4	Q8.3(C4xD5)	320,450
Q₈.₄(C₄×D₅) = C₄².₁₉₆D₁₀	φ: C₄×D₅/Dic₅ → C₂ ⊆ Out Q₈	80	4	Q8.4(C4xD5)	320,451
Q₈.₅(C₄×D₅) = C₄×C₅⋊Q₁₆	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Q₈	320		Q8.5(C4xD5)	320,656
Q₈.₆(C₄×D₅) = C₄².₅₉D₁₀	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Q₈	320		Q8.6(C4xD5)	320,657
Q₈.₇(C₄×D₅) = C₄₀.₉₃D₄	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Q₈	80	4	Q8.7(C4xD5)	320,771
Q₈.₈(C₄×D₅) = C₄₀.₅₀D₄	φ: C₄×D₅/C₂₀ → C₂ ⊆ Out Q₈	80	4	Q8.8(C4xD5)	320,772
Q₈.₉(C₄×D₅) = (Q₈×D₅)⋊C₄	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Q₈	160		Q8.9(C4xD5)	320,429
Q₈.₁₀(C₄×D₅) = Q₈⋊₂D₅⋊C₄	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Q₈	160		Q8.10(C4xD5)	320,431
Q₈.₁₁(C₄×D₅) = C₄²⋊D₁₀	φ: C₄×D₅/D₁₀ → C₂ ⊆ Out Q₈	80	4	Q8.11(C4xD5)	320,448
Q₈.₁₂(C₄×D₅) = C₄².₁₂₅D₁₀	φ: trivial image	160		Q8.12(C4xD5)	320,1244
Q₈.₁₃(C₄×D₅) = D₅×C₈○D₄	φ: trivial image	80	4	Q8.13(C4xD5)	320,1421
Q₈.₁₄(C₄×D₅) = C₂₀.₇₂C₂⁴	φ: trivial image	80	4	Q8.14(C4xD5)	320,1422

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