Extensions 1→N→G→Q→1 with N=C₂₀⋊Q₈ and Q=C₂

Direct product G=N×Q with N=C₂₀⋊Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₀⋊Q₈		320		C2xC20:Q8	320,1169

Semidirect products G=N:Q with N=C₂₀⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₀⋊Q₈⋊₁C₂ = Dic₅.₁₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:1C2	320,386
C₂₀⋊Q₈⋊₂C₂ = Dic₅.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:2C2	320,387
C₂₀⋊Q₈⋊₃C₂ = D₄⋊Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:3C2	320,388
C₂₀⋊Q₈⋊₄C₂ = C₂₀⋊Q₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:4C2	320,392
C₂₀⋊Q₈⋊₅C₂ = Q₈⋊C₄⋊D₅	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:5C2	320,422
C₂₀⋊Q₈⋊₆C₂ = D₂₀⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:6C2	320,497
C₂₀⋊Q₈⋊₇C₂ = D₂₀⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:7C2	320,517
C₂₀⋊Q₈⋊₈C₂ = C₁₀.₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:8C2	320,1172
C₂₀⋊Q₈⋊₉C₂ = C₁₀.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:9C2	320,1179
C₂₀⋊Q₈⋊₁₀C₂ = C₁₀.₁₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:10C2	320,1183
C₂₀⋊Q₈⋊₁₁C₂ = C₄².₉₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:11C2	320,1191
C₂₀⋊Q₈⋊₁₂C₂ = C₄².₉₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:12C2	320,1204
C₂₀⋊Q₈⋊₁₃C₂ = C₄².₉₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:13C2	320,1205
C₂₀⋊Q₈⋊₁₄C₂ = D₄×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:14C2	320,1209
C₂₀⋊Q₈⋊₁₅C₂ = D₄⋊₅Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:15C2	320,1211
C₂₀⋊Q₈⋊₁₆C₂ = C₄².₁₁₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:16C2	320,1233
C₂₀⋊Q₈⋊₁₇C₂ = C₄².₁₃₃D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:17C2	320,1254
C₂₀⋊Q₈⋊₁₈C₂ = C₂₀⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:18C2	320,1268
C₂₀⋊Q₈⋊₁₉C₂ = C₁₀.₃₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:19C2	320,1275
C₂₀⋊Q₈⋊₂₀C₂ = C₁₀.₇₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:20C2	320,1283
C₂₀⋊Q₈⋊₂₁C₂ = C₁₀.₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:21C2	320,1288
C₂₀⋊Q₈⋊₂₂C₂ = (Q₈×Dic₅)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:22C2	320,1294
C₂₀⋊Q₈⋊₂₃C₂ = C₁₀.₅₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:23C2	320,1295
C₂₀⋊Q₈⋊₂₄C₂ = C₁₀.₁₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:24C2	320,1300
C₂₀⋊Q₈⋊₂₅C₂ = Dic₁₀⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:25C2	320,1304
C₂₀⋊Q₈⋊₂₆C₂ = C₁₀.₁₁₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:26C2	320,1307
C₂₀⋊Q₈⋊₂₇C₂ = C₁₀.₂₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:27C2	320,1313
C₂₀⋊Q₈⋊₂₈C₂ = C₁₀.₂₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:28C2	320,1315
C₂₀⋊Q₈⋊₂₉C₂ = C₁₀.₅₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:29C2	320,1318
C₂₀⋊Q₈⋊₃₀C₂ = C₁₀.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:30C2	320,1320
C₂₀⋊Q₈⋊₃₁C₂ = C₁₀.₈₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:31C2	320,1323
C₂₀⋊Q₈⋊₃₂C₂ = C₁₀.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:32C2	320,1327
C₂₀⋊Q₈⋊₃₃C₂ = C₁₀.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:33C2	320,1334
C₂₀⋊Q₈⋊₃₄C₂ = C₄².₂₃₆D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:34C2	320,1360
C₂₀⋊Q₈⋊₃₅C₂ = C₄².₁₄₈D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:35C2	320,1361
C₂₀⋊Q₈⋊₃₆C₂ = D₂₀⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:36C2	320,1362
C₂₀⋊Q₈⋊₃₇C₂ = C₄².₁₅₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:37C2	320,1368
C₂₀⋊Q₈⋊₃₈C₂ = C₄².₁₅₇D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:38C2	320,1371
C₂₀⋊Q₈⋊₃₉C₂ = C₄².₁₅₉D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:39C2	320,1373
C₂₀⋊Q₈⋊₄₀C₂ = C₄².₁₆₀D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:40C2	320,1374
C₂₀⋊Q₈⋊₄₁C₂ = C₄².₁₆₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:41C2	320,1382
C₂₀⋊Q₈⋊₄₂C₂ = C₄².₁₆₅D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:42C2	320,1384
C₂₀⋊Q₈⋊₄₃C₂ = D₅×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:43C2	320,1395
C₂₀⋊Q₈⋊₄₄C₂ = D₂₀⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:44C2	320,1399
C₂₀⋊Q₈⋊₄₅C₂ = C₄².₁₇₄D₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	160	C20:Q8:45C2	320,1401
C₂₀⋊Q₈⋊₄₆C₂ = C₄².₈₈D₁₀	φ: trivial image	160	C20:Q8:46C2	320,1189
C₂₀⋊Q₈⋊₄₇C₂ = C₄².₂₂₈D₁₀	φ: trivial image	160	C20:Q8:47C2	320,1220
C₂₀⋊Q₈⋊₄₈C₂ = C₄².₂₃₂D₁₀	φ: trivial image	160	C20:Q8:48C2	320,1250

Non-split extensions G=N.Q with N=C₂₀⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₀⋊Q₈.₁C₂ = Dic₅.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.1C2	320,211
C₂₀⋊Q₈.₂C₂ = Q₈⋊Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.2C2	320,418
C₂₀⋊Q₈.₃C₂ = Dic₅.₃Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.3C2	320,419
C₂₀⋊Q₈.₄C₂ = Dic₅.₉Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.4C2	320,421
C₂₀⋊Q₈.₅C₂ = Dic₁₀⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.5C2	320,481
C₂₀⋊Q₈.₆C₂ = C₄₀⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.6C2	320,482
C₂₀⋊Q₈.₇C₂ = C₄₀⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.7C2	320,483
C₂₀⋊Q₈.₈C₂ = C₄₀⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.8C2	320,501
C₂₀⋊Q₈.₉C₂ = Dic₁₀⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.9C2	320,502
C₂₀⋊Q₈.₁₀C₂ = C₄₀⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.10C2	320,503
C₂₀⋊Q₈.₁₁C₂ = Q₈×Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.11C2	320,1238
C₂₀⋊Q₈.₁₂C₂ = Q₈⋊₅Dic₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.12C2	320,1241
C₂₀⋊Q₈.₁₃C₂ = Dic₁₀⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.13C2	320,1357
C₂₀⋊Q₈.₁₄C₂ = Dic₁₀⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₀⋊Q₈	320	C20:Q8.14C2	320,1394

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Extensions 1→N→G→Q→1 with N=C20⋊Q8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₀⋊Q₈ and Q=C₂