Extensions 1→N→G→Q→1 with N=D₅×C₄² and Q=C₂

Direct product G=N×Q with N=D₅×C₄² and Q=C₂

		d	ρ	Label	ID
D₅×C₂×C₄²		160		D5xC2xC4^2	320,1143

Semidirect products G=N:Q with N=D₅×C₄² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₄²)⋊₁C₂ = D₅×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	40	4	(D5xC4^2):1C2	320,447
(D₅×C₄²)⋊₂C₂ = C₄×D₄⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):2C2	320,1208
(D₅×C₄²)⋊₃C₂ = C₄×D₄×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2):3C2	320,1216
(D₅×C₄²)⋊₄C₂ = C₄².₂₂₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):4C2	320,1220
(D₅×C₄²)⋊₅C₂ = C₄².₂₂₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):5C2	320,1229
(D₅×C₄²)⋊₆C₂ = C₄×Q₈⋊₂D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):6C2	320,1245
(D₅×C₄²)⋊₇C₂ = C₄².₁₃₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):7C2	320,1252
(D₅×C₄²)⋊₈C₂ = C₄².₂₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):8C2	320,1340
(D₅×C₄²)⋊₉C₂ = D₅×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2):9C2	320,1345
(D₅×C₄²)⋊₁₀C₂ = C₄².₂₃₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):10C2	320,1352
(D₅×C₄²)⋊₁₁C₂ = C₄².₂₃₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):11C2	320,1363
(D₅×C₄²)⋊₁₂C₂ = D₅×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2):12C2	320,1386
(D₅×C₄²)⋊₁₃C₂ = C₄².₂₃₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):13C2	320,1388
(D₅×C₄²)⋊₁₄C₂ = C₄².₂₄₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):14C2	320,1397
(D₅×C₄²)⋊₁₅C₂ = C₄×C₄○D₂₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):15C2	320,1146
(D₅×C₄²)⋊₁₆C₂ = D₅×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2):16C2	320,1192
(D₅×C₄²)⋊₁₇C₂ = C₄².₁₈₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):17C2	320,1194
(D₅×C₄²)⋊₁₈C₂ = C₄².₉₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):18C2	320,1200
(D₅×C₄²)⋊₁₉C₂ = D₅×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2):19C2	320,1375
(D₅×C₄²)⋊₂₀C₂ = C₄².₁₈₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2):20C2	320,1378

Non-split extensions G=N.Q with N=D₅×C₄² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₄²).₁C₂ = D₅×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).1C2	320,459
(D₅×C₄²).₂C₂ = C₄².₂₀₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).2C2	320,460
(D₅×C₄²).₃C₂ = C₄².₂₀₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).3C2	320,462
(D₅×C₄²).₄C₂ = C₂₀⋊₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).4C2	320,464
(D₅×C₄²).₅C₂ = C₄×Q₈×D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).5C2	320,1243
(D₅×C₄²).₆C₂ = C₄².₂₃₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).6C2	320,1250
(D₅×C₄²).₇C₂ = D₅×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).7C2	320,1359
(D₅×C₄²).₈C₂ = C₄².₂₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).8C2	320,1360
(D₅×C₄²).₉C₂ = D₅×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).9C2	320,1395
(D₅×C₄²).₁₀C₂ = C₄².₂₄₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).10C2	320,1400
(D₅×C₄²).₁₁C₂ = C₄².₂₈₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).11C2	320,312
(D₅×C₄²).₁₂C₂ = C₄×C₈⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).12C2	320,314
(D₅×C₄²).₁₃C₂ = D₅×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).13C2	320,331
(D₅×C₄²).₁₄C₂ = C₄².₁₈₂D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).14C2	320,332
(D₅×C₄²).₁₅C₂ = D₁₀.₆C₄²	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).15C2	320,334
(D₅×C₄²).₁₆C₂ = C₄².₇F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).16C2	320,1022
(D₅×C₄²).₁₇C₂ = C₄²⋊₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2).17C2	320,1028
(D₅×C₄²).₁₈C₂ = C₂₀⋊₃M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).18C2	320,1019
(D₅×C₄²).₁₉C₂ = C₄².₁₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).19C2	320,1020
(D₅×C₄²).₂₀C₂ = C₄².₁₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).20C2	320,1021
(D₅×C₄²).₂₁C₂ = C₄²⋊₈F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2).21C2	320,1026
(D₅×C₄²).₂₂C₂ = C₄²⋊₉F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2).22C2	320,1027
(D₅×C₄²).₂₃C₂ = C₄²⋊₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	40	4	(D5xC4^2).23C2	320,200
(D₅×C₄²).₂₄C₂ = C₄×C₄.F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).24C2	320,1015
(D₅×C₄²).₂₅C₂ = C₄².₁₁F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).25C2	320,1017
(D₅×C₄²).₂₆C₂ = C₄².₁₂F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).26C2	320,1018
(D₅×C₄²).₂₇C₂ = C₄×C₄⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2).27C2	320,1025
(D₅×C₄²).₂₈C₂ = C₄×D₅⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).28C2	320,1013
(D₅×C₄²).₂₉C₂ = C₄².₅F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).29C2	320,1014
(D₅×C₄²).₃₀C₂ = C₄².₆F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	160		(D5xC4^2).30C2	320,1016
(D₅×C₄²).₃₁C₂ = C₄²×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2).31C2	320,1023
(D₅×C₄²).₃₂C₂ = C₄²⋊₄F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₄²	80		(D5xC4^2).32C2	320,1024
(D₅×C₄²).₃₃C₂ = D₅×C₄×C₈	φ: trivial image	160		(D5xC4^2).33C2	320,311

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Extensions 1→N→G→Q→1 with N=D5×C42 and Q=C2

Extensions 1→N→G→Q→1 with N=D₅×C₄² and Q=C₂