Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂×C₈

Direct product G=N×Q with N=Dic₅ and Q=C₂×C₈

		d	ρ	Label	ID
C₂×C₈×Dic₅		320		C2xC8xDic5	320,725

Semidirect products G=N:Q with N=Dic₅ and Q=C₂×C₈

extension	φ:Q→Out N	d	Label	ID
Dic₅⋊(C₂×C₈) = C₅⋊C₈⋊₈D₄	φ: C₂×C₈/C₄ → C₂² ⊆ Out Dic₅	160	Dic5:(C2xC8)	320,1030
Dic₅⋊₂(C₂×C₈) = C₅⋊₅(C₈×D₄)	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	160	Dic5:2(C2xC8)	320,352
Dic₅⋊₃(C₂×C₈) = C₈×C₅⋊D₄	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	160	Dic5:3(C2xC8)	320,736
Dic₅⋊₄(C₂×C₈) = D₅×C₄⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160	Dic5:4(C2xC8)	320,459
Dic₅⋊₅(C₂×C₈) = C₂×C₂₀.₈Q₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	320	Dic5:5(C2xC8)	320,726
Dic₅⋊₆(C₂×C₈) = C₄×D₅⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160	Dic5:6(C2xC8)	320,1013
Dic₅⋊₇(C₂×C₈) = C₄².₁₁F₅	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160	Dic5:7(C2xC8)	320,1017
Dic₅⋊₈(C₂×C₈) = C₂×C₄×C₅⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	320	Dic5:8(C2xC8)	320,1084
Dic₅⋊₉(C₂×C₈) = C₂×Dic₅⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	320	Dic5:9(C2xC8)	320,1090
Dic₅⋊₁₀(C₂×C₈) = D₅×C₄×C₈	φ: trivial image	160	Dic5:10(C2xC8)	320,311

Non-split extensions G=N.Q with N=Dic₅ and Q=C₂×C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁(C₂×C₈) = Dic₁₀⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Out Dic₅	320		Dic5.1(C2xC8)	320,1041
Dic₅.₂(C₂×C₈) = Dic₁₀.C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Out Dic₅	160	8	Dic5.2(C2xC8)	320,1063
Dic₅.₃(C₂×C₈) = C₈×Dic₁₀	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.3(C2xC8)	320,305
Dic₅.₄(C₂×C₈) = Dic₁₀⋊₅C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.4(C2xC8)	320,457
Dic₅.₅(C₂×C₈) = D₂₀.₆C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	160	2	Dic5.5(C2xC8)	320,528
Dic₅.₆(C₂×C₈) = D₂₀.₅C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	160	4	Dic5.6(C2xC8)	320,534
Dic₅.₇(C₂×C₈) = C₁₆×F₅	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	80	4	Dic5.7(C2xC8)	320,181
Dic₅.₈(C₂×C₈) = C₁₆⋊₇F₅	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	80	4	Dic5.8(C2xC8)	320,182
Dic₅.₉(C₂×C₈) = C₈×C₅⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.9(C2xC8)	320,216
Dic₅.₁₀(C₂×C₈) = C₂₀.₃₁M₄(2)	φ: C₂×C₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.10(C2xC8)	320,218
Dic₅.₁₁(C₂×C₈) = C₄².₂₈₂D₁₀	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.11(C2xC8)	320,312
Dic₅.₁₂(C₂×C₈) = C₂×C₈₀⋊C₂	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.12(C2xC8)	320,527
Dic₅.₁₃(C₂×C₈) = D₅×M₅(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	80	4	Dic5.13(C2xC8)	320,533
Dic₅.₁₄(C₂×C₈) = C₄².₆F₅	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.14(C2xC8)	320,1016
Dic₅.₁₅(C₂×C₈) = C₄².₁₂F₅	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.15(C2xC8)	320,1018
Dic₅.₁₆(C₂×C₈) = C₂×D₅⋊C₁₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.16(C2xC8)	320,1051
Dic₅.₁₇(C₂×C₈) = C₂×C₈.F₅	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.17(C2xC8)	320,1052
Dic₅.₁₈(C₂×C₈) = D₅⋊M₅(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	80	4	Dic5.18(C2xC8)	320,1053
Dic₅.₁₉(C₂×C₈) = C₂₀.₃₄M₄(2)	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Out Dic₅	160		Dic5.19(C2xC8)	320,1092
Dic₅.₂₀(C₂×C₈) = Dic₅.₁₄M₄(2)	φ: trivial image	160		Dic5.20(C2xC8)	320,345
Dic₅.₂₁(C₂×C₈) = C₄².₂₀₀D₁₀	φ: trivial image	160		Dic5.21(C2xC8)	320,460
Dic₅.₂₂(C₂×C₈) = D₅×C₂×C₁₆	φ: trivial image	160		Dic5.22(C2xC8)	320,526

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Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2×C8

Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂×C₈