Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂xC₈

Direct product G=NxQ with N=Dic₅ and Q=C₂xC₈

		d	ρ	Label	ID
C₂xC₈xDic₅		320		C2xC8xDic5	320,725

Semidirect products G=N:Q with N=Dic₅ and Q=C₂xC₈

extension	φ:Q→Out N	d	Label	ID
Dic₅:(C₂xC₈) = C₅:C₈:₈D₄	φ: C₂xC₈/C₄ → C₂² ⊆ Out Dic₅	160	Dic5:(C2xC8)	320,1030
Dic₅:₂(C₂xC₈) = C₅:₅(C₈xD₄)	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	160	Dic5:2(C2xC8)	320,352
Dic₅:₃(C₂xC₈) = C₈xC₅:D₄	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	160	Dic5:3(C2xC8)	320,736
Dic₅:₄(C₂xC₈) = D₅xC₄:C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160	Dic5:4(C2xC8)	320,459
Dic₅:₅(C₂xC₈) = C₂xC₂₀.₈Q₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	320	Dic5:5(C2xC8)	320,726
Dic₅:₆(C₂xC₈) = C₄xD₅:C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160	Dic5:6(C2xC8)	320,1013
Dic₅:₇(C₂xC₈) = C₄².₁₁F₅	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160	Dic5:7(C2xC8)	320,1017
Dic₅:₈(C₂xC₈) = C₂xC₄xC₅:C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	320	Dic5:8(C2xC8)	320,1084
Dic₅:₉(C₂xC₈) = C₂xDic₅:C₈	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	320	Dic5:9(C2xC8)	320,1090
Dic₅:₁₀(C₂xC₈) = D₅xC₄xC₈	φ: trivial image	160	Dic5:10(C2xC8)	320,311

Non-split extensions G=N.Q with N=Dic₅ and Q=C₂xC₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁(C₂xC₈) = Dic₁₀:C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Out Dic₅	320		Dic5.1(C2xC8)	320,1041
Dic₅.₂(C₂xC₈) = Dic₁₀.C₈	φ: C₂xC₈/C₄ → C₂² ⊆ Out Dic₅	160	8	Dic5.2(C2xC8)	320,1063
Dic₅.₃(C₂xC₈) = C₈xDic₁₀	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.3(C2xC8)	320,305
Dic₅.₄(C₂xC₈) = Dic₁₀:₅C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.4(C2xC8)	320,457
Dic₅.₅(C₂xC₈) = D₂₀.₆C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	160	2	Dic5.5(C2xC8)	320,528
Dic₅.₆(C₂xC₈) = D₂₀.₅C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	160	4	Dic5.6(C2xC8)	320,534
Dic₅.₇(C₂xC₈) = C₁₆xF₅	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	80	4	Dic5.7(C2xC8)	320,181
Dic₅.₈(C₂xC₈) = C₁₆:₇F₅	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	80	4	Dic5.8(C2xC8)	320,182
Dic₅.₉(C₂xC₈) = C₈xC₅:C₈	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.9(C2xC8)	320,216
Dic₅.₁₀(C₂xC₈) = C₂₀.₃₁M₄(2)	φ: C₂xC₈/C₈ → C₂ ⊆ Out Dic₅	320		Dic5.10(C2xC8)	320,218
Dic₅.₁₁(C₂xC₈) = C₄².₂₈₂D₁₀	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160		Dic5.11(C2xC8)	320,312
Dic₅.₁₂(C₂xC₈) = C₂xC₈₀:C₂	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160		Dic5.12(C2xC8)	320,527
Dic₅.₁₃(C₂xC₈) = D₅xM₅(2)	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	80	4	Dic5.13(C2xC8)	320,533
Dic₅.₁₄(C₂xC₈) = C₄².₆F₅	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160		Dic5.14(C2xC8)	320,1016
Dic₅.₁₅(C₂xC₈) = C₄².₁₂F₅	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160		Dic5.15(C2xC8)	320,1018
Dic₅.₁₆(C₂xC₈) = C₂xD₅:C₁₆	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160		Dic5.16(C2xC8)	320,1051
Dic₅.₁₇(C₂xC₈) = C₂xC₈.F₅	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160		Dic5.17(C2xC8)	320,1052
Dic₅.₁₈(C₂xC₈) = D₅:M₅(2)	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	80	4	Dic5.18(C2xC8)	320,1053
Dic₅.₁₉(C₂xC₈) = C₂₀.₃₄M₄(2)	φ: C₂xC₈/C₂xC₄ → C₂ ⊆ Out Dic₅	160		Dic5.19(C2xC8)	320,1092
Dic₅.₂₀(C₂xC₈) = Dic₅.₁₄M₄(2)	φ: trivial image	160		Dic5.20(C2xC8)	320,345
Dic₅.₂₁(C₂xC₈) = C₄².₂₀₀D₁₀	φ: trivial image	160		Dic5.21(C2xC8)	320,460
Dic₅.₂₂(C₂xC₈) = D₅xC₂xC₁₆	φ: trivial image	160		Dic5.22(C2xC8)	320,526

Extensions 1→N→G→Q→1 with N=Dic5 and Q=C2xC8

Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂xC₈