Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂×C₈

Direct product G=N×Q with N=D₁₀ and Q=C₂×C₈

		d	ρ	Label	ID
D₅×C₂²×C₈		160		D5xC2^2xC8	320,1408

Semidirect products G=N:Q with N=D₁₀ and Q=C₂×C₈

extension	φ:Q→Out N	d	Label	ID
D₁₀⋊₁(C₂×C₈) = C₅⋊C₈⋊₈D₄	φ: C₂×C₈/C₄ → C₂² ⊆ Out D₁₀	160	D10:1(C2xC8)	320,1030
D₁₀⋊₂(C₂×C₈) = D₂₀⋊₂C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Out D₁₀	160	D10:2(C2xC8)	320,1040
D₁₀⋊₃(C₂×C₈) = C₈×D₂₀	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	160	D10:3(C2xC8)	320,313
D₁₀⋊₄(C₂×C₈) = C₅⋊₅(C₈×D₄)	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	160	D10:4(C2xC8)	320,352
D₁₀⋊₅(C₂×C₈) = D₂₀⋊₅C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	160	D10:5(C2xC8)	320,461
D₁₀⋊₆(C₂×C₈) = C₈×C₅⋊D₄	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	160	D10:6(C2xC8)	320,736
D₁₀⋊₇(C₂×C₈) = D₅×C₂²⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	80	D10:7(C2xC8)	320,351
D₁₀⋊₈(C₂×C₈) = C₂×D₁₀⋊₁C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160	D10:8(C2xC8)	320,735
D₁₀⋊₉(C₂×C₈) = C₂×D₁₀⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160	D10:9(C2xC8)	320,1089
D₁₀⋊₁₀(C₂×C₈) = D₁₀.₁₁M₄(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	80	D10:10(C2xC8)	320,1091
D₁₀⋊₁₁(C₂×C₈) = C₂²×D₅⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160	D10:11(C2xC8)	320,1587

Non-split extensions G=N.Q with N=D₁₀ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.(C₂×C₈) = Dic₁₀.C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Out D₁₀	160	8	D10.(C2xC8)	320,1063
D₁₀.₂(C₂×C₈) = D₂₀.₆C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	160	2	D10.2(C2xC8)	320,528
D₁₀.₃(C₂×C₈) = D₂₀.₅C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	160	4	D10.3(C2xC8)	320,534
D₁₀.₄(C₂×C₈) = C₁₆×F₅	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	80	4	D10.4(C2xC8)	320,181
D₁₀.₅(C₂×C₈) = C₁₆⋊₇F₅	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	80	4	D10.5(C2xC8)	320,182
D₁₀.₆(C₂×C₈) = D₁₀.₃M₄(2)	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	80		D10.6(C2xC8)	320,230
D₁₀.₇(C₂×C₈) = C₂×C₈×F₅	φ: C₂×C₈/C₈ → C₂ ⊆ Out D₁₀	80		D10.7(C2xC8)	320,1054
D₁₀.₈(C₂×C₈) = C₄².₂₈₂D₁₀	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.8(C2xC8)	320,312
D₁₀.₉(C₂×C₈) = C₄².₂₀₀D₁₀	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.9(C2xC8)	320,460
D₁₀.₁₀(C₂×C₈) = C₂×C₈₀⋊C₂	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.10(C2xC8)	320,527
D₁₀.₁₁(C₂×C₈) = D₅×M₅(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	80	4	D10.11(C2xC8)	320,533
D₁₀.₁₂(C₂×C₈) = C₄×D₅⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.12(C2xC8)	320,1013
D₁₀.₁₃(C₂×C₈) = C₄².₆F₅	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.13(C2xC8)	320,1016
D₁₀.₁₄(C₂×C₈) = C₄².₁₁F₅	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.14(C2xC8)	320,1017
D₁₀.₁₅(C₂×C₈) = C₄².₁₂F₅	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.15(C2xC8)	320,1018
D₁₀.₁₆(C₂×C₈) = C₂×D₅⋊C₁₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.16(C2xC8)	320,1051
D₁₀.₁₇(C₂×C₈) = C₂×C₈.F₅	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	160		D10.17(C2xC8)	320,1052
D₁₀.₁₈(C₂×C₈) = D₅⋊M₅(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out D₁₀	80	4	D10.18(C2xC8)	320,1053
D₁₀.₁₉(C₂×C₈) = D₅×C₄×C₈	φ: trivial image	160		D10.19(C2xC8)	320,311
D₁₀.₂₀(C₂×C₈) = D₅×C₄⋊C₈	φ: trivial image	160		D10.20(C2xC8)	320,459
D₁₀.₂₁(C₂×C₈) = D₅×C₂×C₁₆	φ: trivial image	160		D10.21(C2xC8)	320,526

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Extensions 1→N→G→Q→1 with N=D10 and Q=C2×C8

Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂×C₈