Extensions 1→N→G→Q→1 with N=D₅×C₂²⋊C₄ and Q=C₂

Direct product G=N×Q with N=D₅×C₂²⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₅×C₂²⋊C₄		80		C2xD5xC2^2:C4	320,1156

Semidirect products G=N:Q with N=D₅×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂²⋊C₄)⋊₁C₂ = D₅×C₂²≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	40		(D5xC2^2:C4):1C2	320,1260
(D₅×C₂²⋊C₄)⋊₂C₂ = C₂⁴⋊₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):2C2	320,1261
(D₅×C₂²⋊C₄)⋊₃C₂ = C₂⁴.₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):3C2	320,1263
(D₅×C₂²⋊C₄)⋊₄C₂ = D₅×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):4C2	320,1276
(D₅×C₂²⋊C₄)⋊₅C₂ = C₁₀.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):5C2	320,1282
(D₅×C₂²⋊C₄)⋊₆C₂ = D₂₀⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):6C2	320,1284
(D₅×C₂²⋊C₄)⋊₇C₂ = C₁₀.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):7C2	320,1285
(D₅×C₂²⋊C₄)⋊₈C₂ = D₂₀⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):8C2	320,1302
(D₅×C₂²⋊C₄)⋊₉C₂ = C₁₀.₅₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):9C2	320,1309
(D₅×C₂²⋊C₄)⋊₁₀C₂ = D₅×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):10C2	320,1324
(D₅×C₂²⋊C₄)⋊₁₁C₂ = C₁₀.₁₂₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):11C2	320,1325
(D₅×C₂²⋊C₄)⋊₁₂C₂ = C₁₀.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):12C2	320,1326
(D₅×C₂²⋊C₄)⋊₁₃C₂ = C₁₀.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):13C2	320,1329
(D₅×C₂²⋊C₄)⋊₁₄C₂ = C₁₀.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):14C2	320,1330
(D₅×C₂²⋊C₄)⋊₁₅C₂ = C₁₀.₆₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):15C2	320,1331
(D₅×C₂²⋊C₄)⋊₁₆C₂ = D₅×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):16C2	320,1345
(D₅×C₂²⋊C₄)⋊₁₇C₂ = D₂₀⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):17C2	320,1348
(D₅×C₂²⋊C₄)⋊₁₈C₂ = C₄²⋊₂₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):18C2	320,1350
(D₅×C₂²⋊C₄)⋊₁₉C₂ = C₄²⋊₂₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):19C2	320,1351
(D₅×C₂²⋊C₄)⋊₂₀C₂ = C₄²⋊₂₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):20C2	320,1376
(D₅×C₂²⋊C₄)⋊₂₁C₂ = C₄²⋊₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):21C2	320,1377
(D₅×C₂²⋊C₄)⋊₂₂C₂ = D₅×C₂³⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	40	8+	(D5xC2^2:C4):22C2	320,370
(D₅×C₂²⋊C₄)⋊₂₃C₂ = C₂⁴.₂₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):23C2	320,1158
(D₅×C₂²⋊C₄)⋊₂₄C₂ = C₂⁴.₂₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):24C2	320,1162
(D₅×C₂²⋊C₄)⋊₂₅C₂ = C₄²⋊₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):25C2	320,1193
(D₅×C₂²⋊C₄)⋊₂₆C₂ = C₄²⋊₁₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):26C2	320,1199
(D₅×C₂²⋊C₄)⋊₂₇C₂ = C₄²⋊₁₁D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):27C2	320,1217
(D₅×C₂²⋊C₄)⋊₂₈C₂ = D₂₀⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):28C2	320,1222
(D₅×C₂²⋊C₄)⋊₂₉C₂ = C₄²⋊₁₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4):29C2	320,1228
(D₅×C₂²⋊C₄)⋊₃₀C₂ = C₄×D₄×D₅	φ: trivial image	80		(D5xC2^2:C4):30C2	320,1216

Non-split extensions G=N.Q with N=D₅×C₂²⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₅×C₂²⋊C₄).₁C₂ = D₅×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4).1C2	320,1298
(D₅×C₂²⋊C₄).₂C₂ = C₁₀.₅₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4).2C2	320,1306
(D₅×C₂²⋊C₄).₃C₂ = D₅×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4).3C2	320,1375
(D₅×C₂²⋊C₄).₄C₂ = (C₂²×F₅)⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	40	8+	(D5xC2^2:C4).4C2	320,204
(D₅×C₂²⋊C₄).₅C₂ = D₁₀⋊(C₄⋊C₄)	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	40		(D5xC2^2:C4).5C2	320,1037
(D₅×C₂²⋊C₄).₆C₂ = C₁₀.(C₄×D₄)	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	80		(D5xC2^2:C4).6C2	320,1038
(D₅×C₂²⋊C₄).₇C₂ = C₂²⋊C₄×F₅	φ: C₂/C₁ → C₂ ⊆ Out D₅×C₂²⋊C₄	40		(D5xC2^2:C4).7C2	320,1036
(D₅×C₂²⋊C₄).₈C₂ = D₅×C₄²⋊C₂	φ: trivial image	80		(D5xC2^2:C4).8C2	320,1192

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Extensions 1→N→G→Q→1 with N=D5×C22⋊C4 and Q=C2

Extensions 1→N→G→Q→1 with N=D₅×C₂²⋊C₄ and Q=C₂