Extensions 1→N→G→Q→1 with N=D₅xC₂²:C₄ and Q=C₂

Direct product G=NxQ with N=D₅xC₂²:C₄ and Q=C₂

		d	ρ	Label	ID
C₂xD₅xC₂²:C₄		80		C2xD5xC2^2:C4	320,1156

Semidirect products G=N:Q with N=D₅xC₂²:C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂²:C₄):₁C₂ = D₅xC₂²wrC₂	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	40		(D5xC2^2:C4):1C2	320,1260
(D₅xC₂²:C₄):₂C₂ = C₂⁴:₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):2C2	320,1261
(D₅xC₂²:C₄):₃C₂ = C₂⁴.₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):3C2	320,1263
(D₅xC₂²:C₄):₄C₂ = D₅xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):4C2	320,1276
(D₅xC₂²:C₄):₅C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):5C2	320,1282
(D₅xC₂²:C₄):₆C₂ = D₂₀:₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):6C2	320,1284
(D₅xC₂²:C₄):₇C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):7C2	320,1285
(D₅xC₂²:C₄):₈C₂ = D₂₀:₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):8C2	320,1302
(D₅xC₂²:C₄):₉C₂ = C₁₀.₅₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):9C2	320,1309
(D₅xC₂²:C₄):₁₀C₂ = D₅xC₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):10C2	320,1324
(D₅xC₂²:C₄):₁₁C₂ = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):11C2	320,1325
(D₅xC₂²:C₄):₁₂C₂ = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):12C2	320,1326
(D₅xC₂²:C₄):₁₃C₂ = C₁₀.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):13C2	320,1329
(D₅xC₂²:C₄):₁₄C₂ = C₁₀.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):14C2	320,1330
(D₅xC₂²:C₄):₁₅C₂ = C₁₀.₆₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):15C2	320,1331
(D₅xC₂²:C₄):₁₆C₂ = D₅xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):16C2	320,1345
(D₅xC₂²:C₄):₁₇C₂ = D₂₀:₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):17C2	320,1348
(D₅xC₂²:C₄):₁₈C₂ = C₄²:₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):18C2	320,1350
(D₅xC₂²:C₄):₁₉C₂ = C₄²:₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):19C2	320,1351
(D₅xC₂²:C₄):₂₀C₂ = C₄²:₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):20C2	320,1376
(D₅xC₂²:C₄):₂₁C₂ = C₄²:₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):21C2	320,1377
(D₅xC₂²:C₄):₂₂C₂ = D₅xC₂³:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	40	8+	(D5xC2^2:C4):22C2	320,370
(D₅xC₂²:C₄):₂₃C₂ = C₂⁴.₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):23C2	320,1158
(D₅xC₂²:C₄):₂₄C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):24C2	320,1162
(D₅xC₂²:C₄):₂₅C₂ = C₄²:₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):25C2	320,1193
(D₅xC₂²:C₄):₂₆C₂ = C₄²:₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):26C2	320,1199
(D₅xC₂²:C₄):₂₇C₂ = C₄²:₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):27C2	320,1217
(D₅xC₂²:C₄):₂₈C₂ = D₂₀:₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):28C2	320,1222
(D₅xC₂²:C₄):₂₉C₂ = C₄²:₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4):29C2	320,1228
(D₅xC₂²:C₄):₃₀C₂ = C₄xD₄xD₅	φ: trivial image	80		(D5xC2^2:C4):30C2	320,1216

Non-split extensions G=N.Q with N=D₅xC₂²:C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅xC₂²:C₄).₁C₂ = D₅xC₂²:Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4).1C2	320,1298
(D₅xC₂²:C₄).₂C₂ = C₁₀.₅₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4).2C2	320,1306
(D₅xC₂²:C₄).₃C₂ = D₅xC₄²:₂C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4).3C2	320,1375
(D₅xC₂²:C₄).₄C₂ = (C₂²xF₅):C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	40	8+	(D5xC2^2:C4).4C2	320,204
(D₅xC₂²:C₄).₅C₂ = D₁₀:(C₄:C₄)	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	40		(D5xC2^2:C4).5C2	320,1037
(D₅xC₂²:C₄).₆C₂ = C₁₀.(C₄xD₄)	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	80		(D5xC2^2:C4).6C2	320,1038
(D₅xC₂²:C₄).₇C₂ = C₂²:C₄xF₅	φ: C₂/C₁ → C₂ ⊆ Out D₅xC₂²:C₄	40		(D5xC2^2:C4).7C2	320,1036
(D₅xC₂²:C₄).₈C₂ = D₅xC₄²:C₂	φ: trivial image	80		(D5xC2^2:C4).8C2	320,1192

Extensions 1→N→G→Q→1 with N=D5xC22:C4 and Q=C2

Extensions 1→N→G→Q→1 with N=D₅xC₂²:C₄ and Q=C₂