Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
578778 conjugacy classes of subgroups.
The subgroup lattice has 2036 nodes — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, commutator, Frattini, socle, cosocle | C23 | C28 |
| LCS | G ▷ C23 ▷ C1 | |
| UCS | C1 ◁ C23 ◁ G | |
| LECS | G ▷ C23 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72306585 | C2 | semidirect |
| 2. #72305957 | C2 | semidirect |
| 3. #72303497 | C2 | semidirect |
| 4. #72303495 | C2 | semidirect |
| 5. #72234674 | C2 | semidirect |
| 6. #72219286 | C2 | semidirect |
| 7. C2×#62817 | C22 | semidirect |
| 8. #9232528 | C22 | semidirect |
| 9. #9226206 | C22 | semidirect |
| 10. #9224188 | C22 | semidirect |
| 11. #9164052 | C22 | semidirect |
| 12. #9153890 | C22 | semidirect |
| 13. #9123492 | C22 | semidirect |
| 14. #9105310 | C22 | semidirect |
| 15. #9094943 | C22 | semidirect |
| 16. #9079427 | C22 | semidirect |
| 17. #9040971 | C22 | semidirect |
| 18. #9040959 | C22 | semidirect |
| 19. #9040459 | C22 | semidirect |
| 20. #9028238 | C22 | semidirect |
| 21. #8997245 | C22 | semidirect |
| 22. #8983905 | C22 | semidirect |
| 23. #8968601 | C22 | semidirect |
| 24. #8932885 | C22 | semidirect |
| 25. #8932871 | C22 | semidirect |
| 26. #8912605 | C22 | semidirect |
| 27. #8910147 | C22 | semidirect |
| 28. #8902653 | C22 | semidirect |
| 29. #8828866 | C22 | semidirect |
| 30. #8828709 | C22 | semidirect |
| 31. #8828675 | C22 | semidirect |
| 32. #8827972 | C22 | semidirect |
| 33. #8827761 | C22 | semidirect |
| 34. #8811361 | C22 | semidirect |
| 35. #8807075 | C22 | semidirect |
| 36. #8797921 | C22 | semidirect |
| 37. #8765959 | C22 | semidirect |
| 38. #8758029 | C22 | semidirect |
| 39. #8097746 | C22 | semidirect |
| 40. #8096144 | C22 | semidirect |
| 41. #8093167 | C22 | semidirect |
| 42. #8093108 | C22 | semidirect |
| 43. #7917815 | C22 | semidirect |
| 44. #7915513 | C22 | semidirect |
| 45. #7915509 | C22 | semidirect |
| 46. #7899241 | C22 | semidirect |
| 47. #7899237 | C22 | semidirect |
| 48. #7898055 | C22 | semidirect |
| 49. #7896647 | C22 | semidirect |
| 50. #7846636 | C22 | semidirect |
| 51. #7846634 | C22 | semidirect |
| 52. #7837454 | C22 | semidirect |
| 53. #7837450 | C22 | semidirect |
| 54. #7829342 | C22 | semidirect |
| 55. #7829278 | C22 | semidirect |
| 56. #7819709 | C22 | semidirect |
| 57. #7819605 | C22 | semidirect |
| 58. #7745610 | C22 | semidirect |
| 59. #7745353 | C22 | semidirect |
| 60. #7744933 | C22 | semidirect |
| 61. #7744698 | C22 | semidirect |
| 62. #7696406 | C22 | semidirect |
| 63. #7695993 | C22 | semidirect |
| 64. #7695992 | C22 | semidirect |
| 65. #7670609 | C22 | semidirect |
| 66. #7670314 | C22 | semidirect |
| 67. #7670203 | C22 | semidirect |
| 68. #7664542 | C22 | semidirect |
| 69. #7664541 | C22 | semidirect |
| 70. #7659310 | C22 | semidirect |
| 71. #7659309 | C22 | semidirect |
| 72. #7659307 | C22 | semidirect |
| 73. #7643283 | C22 | semidirect |
| 74. #7642897 | C22 | semidirect |
| 75. #7642244 | C22 | semidirect |
| 76. #7633646 | C22 | semidirect |
| 77. C22×#2679 | C22 | semidirect |
| 78. #7626264 | C22 | semidirect |
| 80. C2×#3490 | C23 | semidirect |
| 81. C2×#3490 | C23 | semidirect |
| 83. C2×#3484 | C23 | semidirect |
| 84. C2×#3484 | C23 | semidirect |
| 85. C2×#3532 | C23 | semidirect |
| 86. C2×#3532 | C23 | semidirect |
| 87. C23×#120 | C23 | semidirect |
| 88. #59836 | C23 | semidirect |
| 89. #59820 | C23 | semidirect |
| 90. #59819 | C23 | semidirect |
| 92. #59814 | C23 | semidirect |
| 93. #59808 | C23 | semidirect |
| 94. #59800 | C23 | semidirect |
| 95. #59396 | C23 | semidirect |
| 96. #59378 | C23 | semidirect |
| 97. #59273 | C23 | semidirect |
| 98. #59219 | C23 | semidirect |
| 99. #59179 | C23 | semidirect |
| 100. #59095 | C23 | semidirect |
| 101. #59084 | C23 | semidirect |
| 102. #59041 | C23 | semidirect |
| 103. #59000 | C23 | semidirect |
| 104. #58991 | C23 | semidirect |
| 105. #58991 | C23 | semidirect |
| 106. #58991 | C23 | semidirect |
| 107. #58990 | C23 | semidirect |
| 108. #58990 | C23 | semidirect |
| 109. #58990 | C23 | semidirect |
| 110. #58300 | C23 | semidirect |
| 111. #58188 | C23 | semidirect |
| 112. #57974 | C23 | semidirect |
| 113. #57958 | C23 | semidirect |
| 114. #57574 | C23 | semidirect |
| 115. #57509 | C23 | semidirect |
| 116. #57438 | C23 | semidirect |
| 117. #57219 | C23 | semidirect |
| 118. #57202 | C23 | semidirect |
| 119. #56545 | C23 | semidirect |
| 120. #56348 | C23 | semidirect |
| 121. #56346 | C23 | semidirect |
| 122. #56323 | C23 | semidirect |
| 123. #55048 | C23 | semidirect |
| 124. #55048 | C23 | semidirect |
| 125. #55042 | C23 | semidirect |
| 126. #55001 | C23 | semidirect |
| 127. #54882 | C23 | semidirect |
| 128. #54197 | C23 | semidirect |
| 129. #53786 | C23 | semidirect |
| 130. #53784 | C23 | semidirect |
| 131. #53681 | C23 | semidirect |
| 132. #53373 | C23 | semidirect |
| 133. #53348 | C23 | semidirect |
| 134. #53160 | C23 | semidirect |
| 135. #53015 | C23 | semidirect |
| 136. #52505 | C23 | semidirect |
| 137. #52407 | C23 | semidirect |
| 138. #52307 | C23 | semidirect |
| 139. #52291 | C23 | semidirect |
| 140. #52279 | C23 | semidirect |
| 141. #52244 | C23 | semidirect |
| 142. #52163 | C23 | semidirect |
| 143. #52103 | C23 | semidirect |
| 144. C2×#2679 | C23 | semidirect |
| 145. C2×#2679 | C23 | semidirect |
| 146. C2×#2679 | C23 | semidirect |
| 147. #52031 | C23 | semidirect |
| 148. #52013 | C23 | semidirect |
| 149. #51923 | C23 | semidirect |
| 150. #51906 | C23 | semidirect |
| 151. #51889 | C23 | semidirect |
| 152. #51815 | C23 | semidirect |
| 153. #51785 | C23 | semidirect |
| 154. #51776 | C23 | semidirect |
| 155. #51776 | C23 | semidirect |
| 156. #51674 | C23 | semidirect |
| 157. #51633 | C23 | semidirect |
| 158. #51041 | C23 | semidirect |
| 159. #51035 | C23 | semidirect |
| 160. #50856 | C23 | semidirect |
| 161. #50762 | C23 | semidirect |
| 162. #50661 | C23 | semidirect |
| 163. #50655 | C23 | semidirect |
| 164. #50646 | C23 | semidirect |
| 165. #50095 | C23 | semidirect |
| 166. #50095 | C23 | semidirect |
| 167. #50017 | C23 | semidirect |
| 168. #49987 | C23 | semidirect |
| 169. #49897 | C23 | semidirect |
| 170. #49847 | C23 | semidirect |
| 171. #49790 | C23 | semidirect |
| 172. #49741 | C23 | semidirect |
| 173. #49690 | C23 | semidirect |
| 174. #49641 | C23 | semidirect |
| 175. #49569 | C23 | semidirect |
| 176. #49562 | C23 | semidirect |
| 177. #49550 | C23 | semidirect |
| 178. #49545 | C23 | semidirect |
| 179. #48902 | C23 | semidirect |
| 180. #48864 | C23 | semidirect |
| 181. #48830 | C23 | semidirect |
| 182. #48790 | C23 | semidirect |
| 183. #48555 | C23 | semidirect |
| 184. #48392 | C23 | semidirect |
| 185. #48204 | C23 | semidirect |
| 186. #48143 | C23 | semidirect |
| 187. #48113 | C23 | semidirect |
| 188. #48083 | C23 | semidirect |
| 189. #48082 | C23 | semidirect |
| 190. #48057 | C23 | semidirect |
| 191. #48051 | C23 | semidirect |
| 192. #47942 | C23 | semidirect |
| 193. #47933 | C23 | semidirect |
| 194. #47903 | C23 | semidirect |
| 195. #47898 | C23 | semidirect |
| 196. #47884 | C23 | semidirect |
| 197. #47883 | C23 | semidirect |
| 198. #47877 | C23 | semidirect |
| 199. #47866 | C23 | semidirect |
| 200. #47853 | C23 | semidirect |
| 201. #47838 | C23 | semidirect |
| 202. #47832 | C23 | semidirect |
| 203. #47831 | C23 | semidirect |
| 204. #47826 | C23 | semidirect |
| 205. #47794 | C23 | semidirect |
| 206. #47678 | C23 | semidirect |
| 207. #47566 | C23 | semidirect |
| 208. #47352 | C23 | semidirect |
| 209. #47096 | C23 | semidirect |
| 210. #47068 | C23 | semidirect |
| 211. #47033 | C23 | semidirect |
| 212. #47006 | C23 | semidirect |
| 213. #46996 | C23 | semidirect |
| 214. #46996 | C23 | semidirect |
| 215. #46996 | C23 | semidirect |
| 216. #46830 | C23 | semidirect |
| 217. #46578 | C23 | semidirect |
| 218. #46512 | C23 | semidirect |
| 219. #46504 | C23 | semidirect |
| 220. #46424 | C23 | semidirect |
| 221. #46398 | C23 | semidirect |
| 222. #46391 | C23 | semidirect |
| 223. #46381 | C23 | semidirect |
| 224. #46364 | C23 | semidirect |
| 225. #46356 | C23 | semidirect |
| 226. #46354 | C23 | semidirect |
| 227. #46351 | C23 | semidirect |
| 228. #46280 | C23 | semidirect |
| 229. #46231 | C23 | semidirect |
| 230. #46225 | C23 | semidirect |
| 231. #45996 | C23 | semidirect |
| 232. #45939 | C23 | semidirect |
| 233. #45801 | C23 | semidirect |
| 234. #45785 | C23 | semidirect |
| 235. #45680 | C23 | semidirect |
| 236. #45458 | C23 | semidirect |
| 237. #45458 | C23 | semidirect |
| 238. #45452 | C23 | semidirect |
| 239. #45448 | C23 | semidirect |
| 240. #45439 | C23 | semidirect |
| 241. #45439 | C23 | semidirect |
| 242. #45380 | C23 | semidirect |
| 243. #45312 | C23 | semidirect |
| 244. #45211 | C23 | semidirect |
| 245. #45028 | C23 | semidirect |
| 246. #45027 | C23 | semidirect |
| 247. #45013 | C23 | semidirect |
| 248. #45013 | C23 | semidirect |
| 249. #44991 | C23 | semidirect |
| 250. #44937 | C23 | semidirect |
| 251. #44936 | C23 | semidirect |
| 252. #44877 | C23 | semidirect |
| 253. #44870 | C23 | semidirect |
| 254. #44645 | C23 | semidirect |
| 255. #44586 | C23 | semidirect |
| 256. #44398 | C23 | semidirect |
| 257. #44241 | C23 | semidirect |
| 258. #44001 | C23 | semidirect |
| 259. #43959 | C23 | semidirect |
| 260. #43913 | C23 | semidirect |
| 261. #43910 | C23 | semidirect |
| 262. #43905 | C23 | semidirect |
| 263. #43904 | C23 | semidirect |
| 264. #43889 | C23 | semidirect |
| 265. #43871 | C23 | semidirect |
| 266. #43595 | C23 | semidirect |
| 267. #43541 | C23 | semidirect |
| 268. #43502 | C23 | semidirect |
| 269. #43367 | C23 | semidirect |
| 270. #43118 | C23 | semidirect |
| 271. #43096 | C23 | semidirect |
| 272. #43094 | C23 | semidirect |
| 273. #43053 | C23 | semidirect |
| 274. #43038 | C23 | semidirect |
| 275. #43038 | C23 | semidirect |
| 276. #43024 | C23 | semidirect |
| 277. #43023 | C23 | semidirect |
| 278. #43023 | C23 | semidirect |
| 279. #43020 | C23 | semidirect |
| 280. #43019 | C23 | semidirect |
| 281. #43017 | C23 | semidirect |
| 282. #43016 | C23 | semidirect |
| 283. #42999 | C23 | semidirect |
| 284. #42998 | C23 | semidirect |
| 285. #42966 | C23 | semidirect |
| 286. #42946 | C23 | semidirect |
| 287. #42517 | C23 | semidirect |
| 288. #42506 | C23 | semidirect |
| 289. #42487 | C23 | semidirect |
| 291. #42122 | C23 | semidirect |
| 292. #42091 | C23 | semidirect |
| 293. #41989 | C23 | semidirect |
| 294. #41983 | C23 | semidirect |
| 295. #41981 | C23 | semidirect |
| 296. #41718 | C23 | semidirect |
| 297. #41690 | C23 | semidirect |
| 298. #41638 | C23 | semidirect |
| 299. #41168 | C23 | semidirect |
| 300. #40932 | C23 | semidirect |
| 301. #40587 | C23 | semidirect |
| 302. #40585 | C23 | semidirect |
| 303. #40529 | C23 | semidirect |
| 304. #40514 | C23 | semidirect |
| 305. #40512 | C23 | semidirect |
| 306. #40509 | C23 | semidirect |
| 307. #40508 | C23 | semidirect |
| 308. #40506 | C23 | semidirect |
| 309. #40487 | C23 | semidirect |
| 310. #40486 | C23 | semidirect |
| 311. #40445 | C23 | semidirect |
| 312. #40345 | C23 | semidirect |
| 313. #39933 | C23 | semidirect |
| 314. #39885 | C23 | semidirect |
| 315. #39869 | C23 | semidirect |
| 316. #39838 | C23 | semidirect |
| 317. #39486 | C23 | semidirect |
| 318. #39452 | C23 | semidirect |
| 319. #39444 | C23 | semidirect |
| 320. #39420 | C23 | semidirect |
| 321. #39412 | C23 | semidirect |
| 322. #39383 | C23 | semidirect |
| 323. #39375 | C23 | semidirect |
| 324. #39367 | C23 | semidirect |
| 326. #39358 | C23 | semidirect |
| 327. #39355 | C23 | semidirect |
| 328. #38949 | C23 | semidirect |
| 329. #38820 | C23 | semidirect |
| 330. #38810 | C23 | semidirect |
| 331. #38760 | C23 | semidirect |
| 332. #38432 | C23 | semidirect |
| 333. #38426 | C23 | semidirect |
| 334. #38424 | C23 | semidirect |
| 335. #38420 | C23 | semidirect |
| 336. #37832 | C23 | semidirect |
| 337. #37832 | C23 | semidirect |
| 338. #37825 | C23 | semidirect |
| 339. #37800 | C23 | semidirect |
| 340. #37658 | C23 | semidirect |
| 341. #37645 | C23 | semidirect |
| 342. #37645 | C23 | semidirect |
| 343. #37644 | C23 | semidirect |
| 344. #37644 | C23 | semidirect |
| 345. #37644 | C23 | semidirect |
| 346. #37644 | C23 | semidirect |
| 347. #37315 | C23 | semidirect |
| 348. #37306 | C23 | semidirect |
| 349. #37297 | C23 | semidirect |
| 350. #37284 | C23 | semidirect |
| 351. #37269 | C23 | semidirect |
| 352. #37254 | C23 | semidirect |
| 353. #37216 | C23 | semidirect |
| 354. #37132 | C23 | semidirect |
| 355. #37129 | C23 | semidirect |
| 356. #37129 | C23 | semidirect |
| 357. #36840 | C23 | semidirect |
| 358. #36724 | C23 | semidirect |
| 359. #36714 | C23 | semidirect |
| 360. #36702 | C23 | semidirect |
| 361. #36624 | C23 | semidirect |
| 362. C2×#2846 | C23 | semidirect |
| 363. #36539 | C23 | semidirect |
| 364. #36460 | C23 | semidirect |
| 365. #36457 | C23 | semidirect |
| 366. #36456 | C23 | semidirect |
| 367. #36370 | C23 | semidirect |
| 368. #36301 | C23 | semidirect |
| 369. #36264 | C23 | semidirect |
| 370. #36262 | C23 | semidirect |
| 371. #36260 | C23 | semidirect |
| 372. #36258 | C23 | semidirect |
| 373. #36146 | C23 | semidirect |
| 374. #36103 | C23 | semidirect |
| 375. #36098 | C23 | semidirect |
| 376. #36098 | C23 | semidirect |
| 377. D4×#120 | C23 | semidirect |
| 378. D4×#120 | C23 | semidirect |
| 379. #36091 | C23 | semidirect |
| 380. #35932 | C23 | semidirect |
| 381. #35907 | C23 | semidirect |
| 382. #35764 | C23 | semidirect |
| 383. #35762 | C23 | semidirect |
| 384. #35761 | C23 | semidirect |
| 385. #35751 | C23 | semidirect |
| 386. #35750 | C23 | semidirect |
| 387. #35748 | C23 | semidirect |
| 388. #35741 | C23 | semidirect |
| 389. #35732 | C23 | semidirect |
| 390. #35730 | C23 | semidirect |
| 391. #35728 | C23 | semidirect |
| 392. #35722 | C23 | semidirect |
| 393. #35714 | C23 | semidirect |
| 394. #35713 | C23 | semidirect |
| 395. #35589 | C23 | semidirect |
| 396. #35541 | C23 | semidirect |
| 397. #35524 | C23 | semidirect |
| 398. #35513 | C23 | semidirect |
| 399. #35439 | C23 | semidirect |
| 400. #35422 | C23 | semidirect |
| 401. #35390 | C23 | semidirect |
| 402. #35367 | C23 | semidirect |
| 403. #35361 | C23 | semidirect |
| 404. #35350 | C23 | semidirect |
| 405. #35348 | C23 | semidirect |
| 406. #35348 | C23 | semidirect |
| 407. #35348 | C23 | semidirect |
| 408. #35346 | C23 | semidirect |
| 409. #35346 | C23 | semidirect |
| 410. #35346 | C23 | semidirect |
| 411. #35268 | C23 | semidirect |
| 412. #35223 | C23 | semidirect |
| 413. #35050 | C23 | semidirect |
| 414. #35037 | C23 | semidirect |
| 415. #35007 | C23 | semidirect |
| 416. #34992 | C23 | semidirect |
| 417. #34981 | C23 | semidirect |
| 418. #34980 | C23 | semidirect |
| 419. #34551 | C23 | semidirect |
| 420. C22×#394 | C23 | semidirect |
| 421. #34476 | C23 | semidirect |
| 422. #34471 | C23 | semidirect |
| 423. #34408 | C23 | semidirect |
| 424. #34320 | C23 | semidirect |
| 425. #34310 | C23 | semidirect |
| 426. #34275 | C23 | semidirect |
| 427. #34269 | C23 | semidirect |
| 429. #34255 | C23 | semidirect |
| 430. #34200 | C23 | semidirect |
| 431. #34198 | C23 | semidirect |
| 432. #34171 | C23 | semidirect |
| 433. C4×#525 | C23 | semidirect |
| 434. C22×#390 | C23 | semidirect |
| 435. C27 | C24 | semidirect |
| 437. C22×H(5,𝔽2) | C24 | semidirect |
| 438. C22×H(5,𝔽2) | C24 | semidirect |
| 439. C22×H(5,𝔽2) | C24 | semidirect |
| 444. C2×H(3,𝔽4) | C24 | semidirect |
| 445. C2×H(3,𝔽4) | C24 | semidirect |
| 446. C2×H(3,𝔽4) | C24 | semidirect |
| 448. C2×#560 | C24 | semidirect |
| 454. C2×Q82 | C24 | semidirect |
| 455. C2×Q82 | C24 | semidirect |
| 456. C2×#551 | C24 | semidirect |
| 457. C2×#551 | C24 | semidirect |
| 458. C2×#551 | C24 | semidirect |
| 459. C2×#551 | C24 | semidirect |
| 465. C2×#546 | C24 | semidirect |
| 466. C2×#546 | C24 | semidirect |
| 467. C2×#546 | C24 | semidirect |
| 470. C2×D42 | C24 | semidirect |
| 471. C2×D42 | C24 | semidirect |
| 472. C2×D42 | C24 | semidirect |
| 473. C2×D42 | C24 | semidirect |
| 474. C2×#543 | C24 | semidirect |
| 475. C2×#543 | C24 | semidirect |
| 476. C2×#543 | C24 | semidirect |
| 478. C2×#538 | C24 | semidirect |
| 479. C2×#538 | C24 | semidirect |
| 480. C2×#538 | C24 | semidirect |
| 487. C2×#534 | C24 | semidirect |
| 488. C2×#534 | C24 | semidirect |
| 489. C2×#534 | C24 | semidirect |
| 490. C2×#534 | C24 | semidirect |
| 493. C2×#525 | C24 | semidirect |
| 494. C2×#525 | C24 | semidirect |
| 501. C22×#120 | C24 | semidirect |
| 502. C22×#120 | C24 | semidirect |
| 503. C22×#120 | C24 | semidirect |
| 504. C22×#120 | C24 | semidirect |
| 507. C2×#518 | C24 | semidirect |
| 508. C2×#518 | C24 | semidirect |
| 509. C2×#518 | C24 | semidirect |
| 510. C2×#518 | C24 | semidirect |
| 512. C23×C4⋊C4 | C24 | semidirect |
| 513. C23×C22⋊C4 | C24 | semidirect |
| 514. C23×C22⋊C4 | C24 | semidirect |
| 515. C23×C42 | C24 | semidirect |
| 516. #2864 | C24 | semidirect |
| 517. #2860 | C24 | semidirect |
| 518. #2858 | C24 | semidirect |
| 519. #2857 | C24 | semidirect |
| 521. #2854 | C24 | semidirect |
| 522. #2850 | C24 | semidirect |
| 523. #2849 | C24 | semidirect |
| 524. #2847 | C24 | semidirect |
| 525. #2847 | C24 | semidirect |
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| 635. #2697 | C24 | semidirect |
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| 645. #2691 | C24 | semidirect |
| 646. #2688 | C24 | semidirect |
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| 648. #2687 | C24 | semidirect |
| 649. #2687 | C24 | semidirect |
| 650. #2686 | C24 | semidirect |
| 651. #2686 | C24 | semidirect |
| 652. #2686 | C24 | semidirect |
| 653. #2685 | C24 | semidirect |
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| 655. #2684 | C24 | semidirect |
| 656. #2684 | C24 | semidirect |
| 657. #2684 | C24 | semidirect |
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| 659. #2684 | C24 | semidirect |
| 660. #2683 | C24 | semidirect |
| 662. #2682 | C24 | semidirect |
| 663. #2682 | C24 | semidirect |
| 664. #2681 | C24 | semidirect |
| 665. #2681 | C24 | semidirect |
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| 668. #2680 | C24 | semidirect |
| 672. #2679 | C24 | semidirect |
| 673. #2679 | C24 | semidirect |
| 674. #2679 | C24 | semidirect |
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| 676. #2679 | C24 | semidirect |
| 677. #2679 | C24 | semidirect |
| 678. #2679 | C24 | semidirect |
| 679. #2679 | C24 | semidirect |
| 680. #2679 | C24 | semidirect |
| 681. #2679 | C24 | semidirect |
| 682. #2679 | C24 | semidirect |
| 683. #2679 | C24 | semidirect |
| 684. #2679 | C24 | semidirect |
| 685. #2679 | C24 | semidirect |
| 688. #2678 | C24 | semidirect |
| 689. #2678 | C24 | semidirect |
| 690. #2678 | C24 | semidirect |
| 691. #2678 | C24 | semidirect |
| 692. #2678 | C24 | semidirect |
| 693. #2678 | C24 | semidirect |
| 694. #2676 | C24 | semidirect |
| 695. #2676 | C24 | semidirect |
| 696. #2676 | C24 | semidirect |
| 697. #2674 | C24 | semidirect |
| 699. #2673 | C24 | semidirect |
| 700. #2672 | C24 | semidirect |
| 701. #2672 | C24 | semidirect |
| 702. #2672 | C24 | semidirect |
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| 705. #2671 | C24 | semidirect |
| 706. #2670 | C24 | semidirect |
| 707. #2670 | C24 | semidirect |
| 708. #2670 | C24 | semidirect |
| 709. #2670 | C24 | semidirect |
| 710. #2670 | C24 | semidirect |
| 711. #2670 | C24 | semidirect |
| 716. #2669 | C24 | semidirect |
| 717. #2669 | C24 | semidirect |
| 718. #2669 | C24 | semidirect |
| 719. #2669 | C24 | semidirect |
| 720. #2669 | C24 | semidirect |
| 723. #2668 | C24 | semidirect |
| 724. #2668 | C24 | semidirect |
| 725. #2668 | C24 | semidirect |
| 726. #2668 | C24 | semidirect |
| 727. #2668 | C24 | semidirect |
| 728. #2667 | C24 | semidirect |
| 729. #2667 | C24 | semidirect |
| 730. #2663 | C24 | semidirect |
| 731. #2662 | C24 | semidirect |
| 732. #2662 | C24 | semidirect |
| 733. #2661 | C24 | semidirect |
| 734. #2653 | C24 | semidirect |
| 735. #2653 | C24 | semidirect |
| 736. #2653 | C24 | semidirect |
| 737. #2638 | C24 | semidirect |
| 738. #2638 | C24 | semidirect |
| 739. #2636 | C24 | semidirect |
| 740. #2635 | C24 | semidirect |
| 741. #2635 | C24 | semidirect |
| 742. #2630 | C24 | semidirect |
| 743. #2630 | C24 | semidirect |
| 744. #2628 | C24 | semidirect |
| 745. #2626 | C24 | semidirect |
| 746. #2626 | C24 | semidirect |
| 747. #2624 | C24 | semidirect |
| 748. #2622 | C24 | semidirect |
| 749. #2620 | C24 | semidirect |
| 751. #2618 | C24 | semidirect |
| 753. #2617 | C24 | semidirect |
| 754. #2617 | C24 | semidirect |
| 755. #2617 | C24 | semidirect |
| 756. #2616 | C24 | semidirect |
| 757. #2615 | C24 | semidirect |
| 759. #2613 | C24 | semidirect |
| 760. #2610 | C24 | semidirect |
| 761. #2609 | C24 | semidirect |
| 762. #2608 | C24 | semidirect |
| 763. #2603 | C24 | semidirect |
| 764. #2602 | C24 | semidirect |
| 765. #2602 | C24 | semidirect |
| 766. #2601 | C24 | semidirect |
| 767. #2601 | C24 | semidirect |
| 768. #2600 | C24 | semidirect |
| 769. #2600 | C24 | semidirect |
| 770. #2594 | C24 | semidirect |
| 771. #2594 | C24 | semidirect |
| 772. #2589 | C24 | semidirect |
| 773. #2580 | C24 | semidirect |
| 774. #2580 | C24 | semidirect |
| 775. #2576 | C24 | semidirect |
| 776. #2576 | C24 | semidirect |
| 777. #2576 | C24 | semidirect |
| 778. #2574 | C24 | semidirect |
| 779. #2571 | C24 | semidirect |
| 780. #2563 | C24 | semidirect |
| 781. #2563 | C24 | semidirect |
| 782. #2561 | C24 | semidirect |
| 783. #2561 | C24 | semidirect |
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| 785. #2560 | C24 | semidirect |
| 786. #2560 | C24 | semidirect |
| 787. #2559 | C24 | semidirect |
| 788. #2559 | C24 | semidirect |
| 789. #2557 | C24 | semidirect |
| 790. #2555 | C24 | semidirect |
| 791. #2554 | C24 | semidirect |
| 792. #2554 | C24 | semidirect |
| 793. #2554 | C24 | semidirect |
| 794. #2553 | C24 | semidirect |
| 795. #2549 | C24 | semidirect |
| 796. #2548 | C24 | semidirect |
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| 798. #2544 | C24 | semidirect |
| 800. #2542 | C24 | semidirect |
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| 804. #2539 | C24 | semidirect |
| 805. #2539 | C24 | semidirect |
| 806. #2539 | C24 | semidirect |
| 807. #2539 | C24 | semidirect |
| 808. #2538 | C24 | semidirect |
| 810. #2536 | C24 | semidirect |
| 812. #2534 | C24 | semidirect |
| 813. #2534 | C24 | semidirect |
| 814. #2534 | C24 | semidirect |
| 815. #2534 | C24 | semidirect |
| 816. #2534 | C24 | semidirect |
| 817. #2534 | C24 | semidirect |
| 818. #2534 | C24 | semidirect |
| 819. #2527 | C24 | semidirect |
| 820. #2526 | C24 | semidirect |
| 821. #2521 | C24 | semidirect |
| 822. #2516 | C24 | semidirect |
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| 824. #2512 | C24 | semidirect |
| 825. #2512 | C24 | semidirect |
| 826. #2507 | C24 | semidirect |
| 827. #2507 | C24 | semidirect |
| 828. #2501 | C24 | semidirect |
| 829. #2500 | C24 | semidirect |
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| 831. #2494 | C24 | semidirect |
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| 833. #2491 | C24 | semidirect |
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| 836. #2488 | C24 | semidirect |
| 837. #2486 | C24 | semidirect |
| 838. #2485 | C24 | semidirect |
| 839. #2483 | C24 | semidirect |
| 840. #2482 | C24 | semidirect |
| 841. #2479 | C24 | semidirect |
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| 843. #2477 | C24 | semidirect |
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| 846. #2474 | C24 | semidirect |
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| 856. #2470 | C24 | semidirect |
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| 859. #2467 | C24 | semidirect |
| 860. #2467 | C24 | semidirect |
| 861. #2466 | C24 | semidirect |
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| 864. #2464 | C24 | semidirect |
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| 867. #2461 | C24 | semidirect |
| 868. #2459 | C24 | semidirect |
| 869. #2459 | C24 | semidirect |
| 870. #2459 | C24 | semidirect |
| 871. #2458 | C24 | semidirect |
| 872. #2457 | C24 | semidirect |
| 873. #2457 | C24 | semidirect |
| 874. #2456 | C24 | semidirect |
| 876. #2455 | C24 | semidirect |
| 877. #2452 | C24 | semidirect |
| 878. #2452 | C24 | semidirect |
| 879. #2452 | C24 | semidirect |
| 880. #2450 | C24 | semidirect |
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| 883. #2447 | C24 | semidirect |
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| 892. #2440 | C24 | semidirect |
| 893. #2440 | C24 | semidirect |
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| 895. #2438 | C24 | semidirect |
| 896. #2437 | C24 | semidirect |
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| 900. #2435 | C24 | semidirect |
| 905. #2433 | C24 | semidirect |
| 906. #2433 | C24 | semidirect |
| 907. #2433 | C24 | semidirect |
| 908. #2432 | C24 | semidirect |
| 909. #2432 | C24 | semidirect |
| 914. #2427 | C24 | semidirect |
| 915. #2426 | C24 | semidirect |
| 916. #2426 | C24 | semidirect |
| 917. #2425 | C24 | semidirect |
| 918. #2425 | C24 | semidirect |
| 922. #2424 | C24 | semidirect |
| 923. #2424 | C24 | semidirect |
| 924. #2424 | C24 | semidirect |
| 925. #2424 | C24 | semidirect |
| 926. #2424 | C24 | semidirect |
| 927. #2424 | C24 | semidirect |
| 928. #2424 | C24 | semidirect |
| 929. #2424 | C24 | semidirect |
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| 931. #2424 | C24 | semidirect |
| 932. #2424 | C24 | semidirect |
| 933. #2424 | C24 | semidirect |
| 934. #2424 | C24 | semidirect |
| 936. #2422 | C24 | semidirect |
| 938. #2420 | C24 | semidirect |
| 939. #2420 | C24 | semidirect |
| 940. #2420 | C24 | semidirect |
| 941. #2419 | C24 | semidirect |
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| 945. #2418 | C24 | semidirect |
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| 949. #2418 | C24 | semidirect |
| 950. #2417 | C24 | semidirect |
| 953. #2416 | C24 | semidirect |
| 954. #2415 | C24 | semidirect |
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| 957. #2413 | C24 | semidirect |
| 958. #2412 | C24 | semidirect |
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| 970. #2410 | C24 | semidirect |
| 971. #2410 | C24 | semidirect |
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| 978. #2410 | C24 | semidirect |
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| 985. #2408 | C24 | semidirect |
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| 989. #2407 | C24 | semidirect |
| 990. #2406 | C24 | semidirect |
| 991. #2405 | C24 | semidirect |
| 992. #2405 | C24 | semidirect |
| 993. #2405 | C24 | semidirect |
| 997. #2404 | C24 | semidirect |
| 998. #2404 | C24 | semidirect |
| 999. #2404 | C24 | semidirect |
| 1000. #2404 | C24 | semidirect |
| 1001. #2404 | C24 | semidirect |
| 1002. #2404 | C24 | semidirect |
| 1003. #2404 | C24 | semidirect |
| 1006. #2403 | C24 | semidirect |
| 1007. #2403 | C24 | semidirect |
| 1008. #2403 | C24 | semidirect |
| 1009. #2403 | C24 | semidirect |
| 1010. #2403 | C24 | semidirect |
| 1011. #2403 | C24 | semidirect |
| 1012. #2403 | C24 | semidirect |
| 1013. #2402 | C24 | semidirect |
| 1014. #2401 | C24 | semidirect |
| 1015. #2398 | C24 | semidirect |
| 1016. #2396 | C24 | semidirect |
| 1017. #2395 | C24 | semidirect |
| 1019. #2392 | C24 | semidirect |
| 1021. #2388 | C24 | semidirect |
| 1022. C2×#394 | C24 | semidirect |
| 1023. C2×#394 | C24 | semidirect |
| 1024. C2×#394 | C24 | semidirect |
| 1025. C2×#394 | C24 | semidirect |
| 1026. #2379 | C24 | semidirect |
| 1027. #2378 | C24 | semidirect |
| 1028. #2377 | C24 | semidirect |
| 1029. #2377 | C24 | semidirect |
| 1030. #2376 | C24 | semidirect |
| 1031. #2375 | C24 | semidirect |
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| 1033. #2374 | C24 | semidirect |
| 1034. #2369 | C24 | semidirect |
| 1035. #2367 | C24 | semidirect |
| 1037. #2366 | C24 | semidirect |
| 1038. #2364 | C24 | semidirect |
| 1039. #2363 | C24 | semidirect |
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| 1050. #2358 | C24 | semidirect |
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| 1056. #2354 | C24 | semidirect |
| 1057. #2352 | C24 | semidirect |
| 1058. #2351 | C24 | semidirect |
| 1059. Q8×C4⋊C4 | C24 | semidirect |
| 1060. #2349 | C24 | semidirect |
| 1061. D4×C4⋊C4 | C24 | semidirect |
| 1062. D4×C4⋊C4 | C24 | semidirect |
| 1063. #2344 | C24 | semidirect |
| 1064. #2342 | C24 | semidirect |
| 1065. #2342 | C24 | semidirect |
| 1067. #2341 | C24 | semidirect |
| 1068. #2339 | C24 | semidirect |
| 1070. D4×C22⋊C4 | C24 | semidirect |
| 1071. D4×C22⋊C4 | C24 | semidirect |
| 1072. D4×C22⋊C4 | C24 | semidirect |
| 1073. D4×C22⋊C4 | C24 | semidirect |
| 1074. D4×C22⋊C4 | C24 | semidirect |
| 1075. D4×C22⋊C4 | C24 | semidirect |
| 1076. #2335 | C24 | semidirect |
| 1077. #2333 | C24 | semidirect |
| 1078. #2333 | C24 | semidirect |
| 1079. #2332 | C24 | semidirect |
| 1080. #2331 | C24 | semidirect |
| 1082. #2328 | C24 | semidirect |
| 1083. #2326 | C24 | semidirect |
| 1084. #2324 | C24 | semidirect |
| 1085. #2324 | C24 | semidirect |
| 1086. #2322 | C24 | semidirect |
| 1087. #2321 | C24 | semidirect |
| 1088. #2321 | C24 | semidirect |
| 1089. #2321 | C24 | semidirect |
| 1090. #2321 | C24 | semidirect |
| 1091. #2319 | C24 | semidirect |
| 1092. #2319 | C24 | semidirect |
| 1093. #2317 | C24 | semidirect |
| 1094. #2316 | C24 | semidirect |
| 1095. #2315 | C24 | semidirect |
| 1096. #2315 | C24 | semidirect |
| 1097. #2315 | C24 | semidirect |
| 1099. #2311 | C24 | semidirect |
| 1101. #2308 | C24 | semidirect |
| 1102. #2308 | C24 | semidirect |
| 1103. #2308 | C24 | semidirect |
| 1104. #2308 | C24 | semidirect |
| 1105. #2308 | C24 | semidirect |
| 1106. #2308 | C24 | semidirect |
| 1107. #2308 | C24 | semidirect |
| 1109. C4×#124 | C24 | semidirect |
| 1110. C4×C22⋊Q8 | C24 | semidirect |
| 1111. C4×C22⋊Q8 | C24 | semidirect |
| 1112. C4×#123 | C24 | semidirect |
| 1115. C4×#121 | C24 | semidirect |
| 1116. C4×#121 | C24 | semidirect |
| 1117. C4×#120 | C24 | semidirect |
| 1118. C4×#120 | C24 | semidirect |
| 1120. #2297 | C24 | semidirect |
| 1121. #2296 | C24 | semidirect |
| 1122. #2293 | C24 | semidirect |
| 1124. C2×#390 | C24 | semidirect |
| 1125. C2×#390 | C24 | semidirect |
| 1126. C2×#390 | C24 | semidirect |
| 1127. C2×#390 | C24 | semidirect |
| 1128. #2290 | C24 | semidirect |
| 1129. #2285 | C24 | semidirect |
| 1130. #2280 | C24 | semidirect |
| 1131. C2×#379 | C24 | semidirect |
| 1132. C2×#379 | C24 | semidirect |
| 1133. C2×#379 | C24 | semidirect |
| 1134. #2274 | C24 | semidirect |
| 1135. #2273 | C24 | semidirect |
| 1136. #2273 | C24 | semidirect |
| 1137. C42×Q8 | C24 | semidirect |
| 1138. C42×D4 | C24 | semidirect |
| 1139. C4×#117 | C24 | semidirect |
| 1140. C22×#95 | C24 | semidirect |
| 1154. C2×H(5,𝔽2) | H(5,𝔽2) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #72306585 | 2 |
| #72305957 | 2 |
| #72303497 | 2 |
| #72303495 | 2 |
| #72234674 | 2 |
| #72219286 | 2 |