Order 512.
32693 conjugacy classes of subgroups.
The subgroup lattice has 3080 nodes — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, commutator, Frattini, socle, cosocle | C22 | C27 |
| LCS | G ▷ C22 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ G | |
| LECS | G ▷ C22 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #63066 | C2 | semidirect |
| 2. #63060 | C2 | semidirect |
| 3. #63055 | C2 | semidirect |
| 4. #63045 | C2 | semidirect |
| 5. #63045 | C2 | semidirect |
| 6. #63020 | C2 | semidirect |
| 7. #63011 | C2 | semidirect |
| 8. #62973 | C2 | semidirect |
| 9. #62970 | C2 | semidirect |
| 10. #62965 | C2 | semidirect |
| 11. #62961 | C2 | semidirect |
| 12. #62918 | C2 | semidirect |
| 13. #62912 | C2 | semidirect |
| 14. #62896 | C2 | semidirect |
| 15. #62892 | C2 | semidirect |
| 16. #62892 | C2 | semidirect |
| 17. #62885 | C2 | semidirect |
| 18. #62876 | C2 | semidirect |
| 19. #62867 | C2 | semidirect |
| 20. #62863 | C2 | semidirect |
| 21. #62834 | C2 | semidirect |
| 22. #62830 | C2 | semidirect |
| 23. #62824 | C2 | semidirect |
| 24. #62755 | C2 | semidirect |
| 25. C2×#3558 | C2 | semidirect |
| 26. #3568 | C22 | semidirect |
| 27. #3567 | C22 | semidirect |
| 28. #3566 | C22 | semidirect |
| 29. #3566 | C22 | semidirect |
| 30. #3566 | C22 | semidirect |
| 31. #3566 | C22 | semidirect |
| 32. #3566 | C22 | semidirect |
| 33. #3566 | C22 | semidirect |
| 34. #3566 | C22 | semidirect |
| 35. #3565 | C22 | semidirect |
| 36. #3564 | C22 | semidirect |
| 37. #3562 | C22 | semidirect |
| 38. #3562 | C22 | semidirect |
| 39. #3562 | C22 | semidirect |
| 40. #3562 | C22 | semidirect |
| 41. #3562 | C22 | semidirect |
| 42. #3562 | C22 | semidirect |
| 43. #3562 | C22 | semidirect |
| 44. #3562 | C22 | semidirect |
| 45. #3561 | C22 | semidirect |
| 46. #3561 | C22 | semidirect |
| 47. #3560 | C22 | semidirect |
| 48. #3560 | C22 | semidirect |
| 49. #3560 | C22 | semidirect |
| 50. #3560 | C22 | semidirect |
| 51. #3560 | C22 | semidirect |
| 52. #3560 | C22 | semidirect |
| 53. #3560 | C22 | semidirect |
| 54. #3558 | C22 | semidirect |
| 55. #3558 | C22 | semidirect |
| 56. #3558 | C22 | semidirect |
| 57. #3558 | C22 | semidirect |
| 58. #3558 | C22 | semidirect |
| 59. #3558 | C22 | semidirect |
| 60. #3558 | C22 | semidirect |
| 61. #3558 | C22 | semidirect |
| 62. #3558 | C22 | semidirect |
| 63. #3558 | C22 | semidirect |
| 64. #3558 | C22 | semidirect |
| 65. #3558 | C22 | semidirect |
| 66. #3558 | C22 | semidirect |
| 67. #3558 | C22 | semidirect |
| 68. #3558 | C22 | semidirect |
| 69. #3558 | C22 | semidirect |
| 70. #3558 | C22 | semidirect |
| 71. #3558 | C22 | semidirect |
| 72. #3558 | C22 | semidirect |
| 73. #3558 | C22 | semidirect |
| 74. #3558 | C22 | semidirect |
| 75. #3558 | C22 | semidirect |
| 76. #3558 | C22 | semidirect |
| 77. #3558 | C22 | semidirect |
| 78. #3558 | C22 | semidirect |
| 79. #3558 | C22 | semidirect |
| 80. #3558 | C22 | semidirect |
| 81. #3557 | C22 | semidirect |
| 82. #3554 | C22 | semidirect |
| 83. #3554 | C22 | semidirect |
| 84. #3553 | C22 | semidirect |
| 85. #3552 | C22 | semidirect |
| 86. #3551 | C22 | semidirect |
| 87. #3551 | C22 | semidirect |
| 88. #3551 | C22 | semidirect |
| 89. #3551 | C22 | semidirect |
| 90. #3551 | C22 | semidirect |
| 91. #3549 | C22 | semidirect |
| 92. #3549 | C22 | semidirect |
| 93. #3549 | C22 | semidirect |
| 94. #3549 | C22 | semidirect |
| 95. #3549 | C22 | semidirect |
| 96. #3548 | C22 | semidirect |
| 97. #3547 | C22 | semidirect |
| 98. #3546 | C22 | semidirect |
| 99. #3546 | C22 | semidirect |
| 100. #3546 | C22 | semidirect |
| 101. #3546 | C22 | semidirect |
| 102. #3546 | C22 | semidirect |
| 103. #3546 | C22 | semidirect |
| 104. #3545 | C22 | semidirect |
| 105. #3545 | C22 | semidirect |
| 106. #3545 | C22 | semidirect |
| 107. #3545 | C22 | semidirect |
| 108. #3545 | C22 | semidirect |
| 109. #3545 | C22 | semidirect |
| 110. #3545 | C22 | semidirect |
| 111. #3545 | C22 | semidirect |
| 112. #3543 | C22 | semidirect |
| 113. #3543 | C22 | semidirect |
| 114. #3543 | C22 | semidirect |
| 115. #3543 | C22 | semidirect |
| 116. #3543 | C22 | semidirect |
| 117. #3543 | C22 | semidirect |
| 118. #3543 | C22 | semidirect |
| 119. #3543 | C22 | semidirect |
| 120. #3543 | C22 | semidirect |
| 121. #3543 | C22 | semidirect |
| 122. #3542 | C22 | semidirect |
| 123. #3542 | C22 | semidirect |
| 124. #3542 | C22 | semidirect |
| 125. #3542 | C22 | semidirect |
| 126. #3542 | C22 | semidirect |
| 127. #3542 | C22 | semidirect |
| 128. #3542 | C22 | semidirect |
| 129. #3542 | C22 | semidirect |
| 130. #3542 | C22 | semidirect |
| 131. #3541 | C22 | semidirect |
| 132. #3541 | C22 | semidirect |
| 133. #3541 | C22 | semidirect |
| 134. #3540 | C22 | semidirect |
| 135. #3540 | C22 | semidirect |
| 136. #3540 | C22 | semidirect |
| 137. #3540 | C22 | semidirect |
| 138. #3540 | C22 | semidirect |
| 139. #3540 | C22 | semidirect |
| 140. #3537 | C22 | semidirect |
| 141. #3537 | C22 | semidirect |
| 142. #3537 | C22 | semidirect |
| 143. #3537 | C22 | semidirect |
| 144. #3537 | C22 | semidirect |
| 145. #3537 | C22 | semidirect |
| 146. #3537 | C22 | semidirect |
| 147. #3537 | C22 | semidirect |
| 148. #3537 | C22 | semidirect |
| 149. #3537 | C22 | semidirect |
| 150. #3537 | C22 | semidirect |
| 151. #3537 | C22 | semidirect |
| 152. #3536 | C22 | semidirect |
| 153. #3535 | C22 | semidirect |
| 154. #3535 | C22 | semidirect |
| 155. #3534 | C22 | semidirect |
| 156. #3534 | C22 | semidirect |
| 157. #3534 | C22 | semidirect |
| 158. #3534 | C22 | semidirect |
| 159. #3534 | C22 | semidirect |
| 160. #3534 | C22 | semidirect |
| 161. #3534 | C22 | semidirect |
| 162. #3534 | C22 | semidirect |
| 163. #3534 | C22 | semidirect |
| 164. #3534 | C22 | semidirect |
| 165. #3534 | C22 | semidirect |
| 166. #3534 | C22 | semidirect |
| 167. #3534 | C22 | semidirect |
| 168. #3534 | C22 | semidirect |
| 169. #3534 | C22 | semidirect |
| 170. #3533 | C22 | semidirect |
| 171. #3533 | C22 | semidirect |
| 172. #3533 | C22 | semidirect |
| 173. #3533 | C22 | semidirect |
| 174. #3533 | C22 | semidirect |
| 175. #3532 | C22 | semidirect |
| 176. #3532 | C22 | semidirect |
| 177. #3532 | C22 | semidirect |
| 178. #3532 | C22 | semidirect |
| 179. #3532 | C22 | semidirect |
| 180. #3532 | C22 | semidirect |
| 181. #3532 | C22 | semidirect |
| 182. #3532 | C22 | semidirect |
| 183. #3532 | C22 | semidirect |
| 184. #3532 | C22 | semidirect |
| 185. #3532 | C22 | semidirect |
| 186. #3532 | C22 | semidirect |
| 187. #3532 | C22 | semidirect |
| 188. #3532 | C22 | semidirect |
| 189. #3531 | C22 | semidirect |
| 190. #3529 | C22 | semidirect |
| 191. #3529 | C22 | semidirect |
| 192. #3529 | C22 | semidirect |
| 193. C2×#562 | C22 | semidirect |
| 194. C2×H(3,𝔽4) | C22 | semidirect |
| 195. C2×H(3,𝔽4) | C22 | semidirect |
| 196. #3524 | C22 | semidirect |
| 197. #3524 | C22 | semidirect |
| 198. #3521 | C22 | semidirect |
| 199. #3521 | C22 | semidirect |
| 200. #3520 | C22 | semidirect |
| 201. #3519 | C22 | semidirect |
| 202. #3519 | C22 | semidirect |
| 203. #3519 | C22 | semidirect |
| 204. #3519 | C22 | semidirect |
| 205. #3519 | C22 | semidirect |
| 206. #3519 | C22 | semidirect |
| 207. #3519 | C22 | semidirect |
| 208. #3519 | C22 | semidirect |
| 209. #3519 | C22 | semidirect |
| 210. #3519 | C22 | semidirect |
| 211. #3517 | C22 | semidirect |
| 212. #3516 | C22 | semidirect |
| 213. #3514 | C22 | semidirect |
| 214. #3514 | C22 | semidirect |
| 215. #3514 | C22 | semidirect |
| 216. #3514 | C22 | semidirect |
| 217. #3514 | C22 | semidirect |
| 218. #3514 | C22 | semidirect |
| 219. #3514 | C22 | semidirect |
| 220. #3514 | C22 | semidirect |
| 221. #3514 | C22 | semidirect |
| 222. #3513 | C22 | semidirect |
| 223. #3513 | C22 | semidirect |
| 224. #3513 | C22 | semidirect |
| 225. #3513 | C22 | semidirect |
| 226. #3513 | C22 | semidirect |
| 227. #3512 | C22 | semidirect |
| 228. #3511 | C22 | semidirect |
| 229. #3510 | C22 | semidirect |
| 230. #3510 | C22 | semidirect |
| 231. #3510 | C22 | semidirect |
| 232. #3510 | C22 | semidirect |
| 233. #3508 | C22 | semidirect |
| 234. #3508 | C22 | semidirect |
| 235. #3508 | C22 | semidirect |
| 236. #3507 | C22 | semidirect |
| 237. #3506 | C22 | semidirect |
| 238. #3506 | C22 | semidirect |
| 239. #3506 | C22 | semidirect |
| 240. #3505 | C22 | semidirect |
| 241. #3505 | C22 | semidirect |
| 242. #3505 | C22 | semidirect |
| 243. #3505 | C22 | semidirect |
| 244. #3505 | C22 | semidirect |
| 245. #3500 | C22 | semidirect |
| 246. #3500 | C22 | semidirect |
| 247. #3500 | C22 | semidirect |
| 248. #3500 | C22 | semidirect |
| 249. #3500 | C22 | semidirect |
| 250. #3498 | C22 | semidirect |
| 251. #3498 | C22 | semidirect |
| 252. #3498 | C22 | semidirect |
| 253. #3498 | C22 | semidirect |
| 254. #3497 | C22 | semidirect |
| 255. #3496 | C22 | semidirect |
| 256. #3496 | C22 | semidirect |
| 257. #3496 | C22 | semidirect |
| 258. #3496 | C22 | semidirect |
| 259. #3494 | C22 | semidirect |
| 260. #3494 | C22 | semidirect |
| 261. #3490 | C22 | semidirect |
| 262. #3490 | C22 | semidirect |
| 263. #3490 | C22 | semidirect |
| 264. #3489 | C22 | semidirect |
| 265. #3488 | C22 | semidirect |
| 266. #3488 | C22 | semidirect |
| 267. #3488 | C22 | semidirect |
| 268. #3488 | C22 | semidirect |
| 269. #3487 | C22 | semidirect |
| 270. #3486 | C22 | semidirect |
| 271. #3485 | C22 | semidirect |
| 272. #3484 | C22 | semidirect |
| 273. #3484 | C22 | semidirect |
| 274. #3484 | C22 | semidirect |
| 275. #3484 | C22 | semidirect |
| 276. #3484 | C22 | semidirect |
| 277. #3484 | C22 | semidirect |
| 278. #3484 | C22 | semidirect |
| 279. #3484 | C22 | semidirect |
| 280. #3484 | C22 | semidirect |
| 281. #3484 | C22 | semidirect |
| 282. #3481 | C22 | semidirect |
| 283. #3481 | C22 | semidirect |
| 284. #3481 | C22 | semidirect |
| 285. #3480 | C22 | semidirect |
| 286. C2×#559 | C22 | semidirect |
| 287. #3475 | C22 | semidirect |
| 288. D4×#41 | C22 | semidirect |
| 289. C2×#548 | C22 | semidirect |
| 290. C2×#546 | C22 | semidirect |
| 291. C2×#546 | C22 | semidirect |
| 292. C2×D42 | C22 | semidirect |
| 293. C2×D42 | C22 | semidirect |
| 294. C2×D42 | C22 | semidirect |
| 295. #3461 | C22 | semidirect |
| 296. #3460 | C22 | semidirect |
| 297. #3460 | C22 | semidirect |
| 298. #3459 | C22 | semidirect |
| 299. #3459 | C22 | semidirect |
| 300. #3455 | C22 | semidirect |
| 301. #3455 | C22 | semidirect |
| 302. C2×#542 | C22 | semidirect |
| 303. C2×#538 | C22 | semidirect |
| 304. C2×#538 | C22 | semidirect |
| 305. C2×#538 | C22 | semidirect |
| 306. C2×#535 | C22 | semidirect |
| 307. C2×#535 | C22 | semidirect |
| 308. C2×#534 | C22 | semidirect |
| 309. C2×#534 | C22 | semidirect |
| 310. #3444 | C22 | semidirect |
| 311. #3444 | C22 | semidirect |
| 312. C2×#532 | C22 | semidirect |
| 313. C2×#529 | C22 | semidirect |
| 314. C22×#124 | C22 | semidirect |
| 315. C2×2−1+4 | C23 | semidirect |
| 316. C2×2−1+4 | C23 | semidirect |
| 317. C2×H(5,𝔽2) | C23 | semidirect |
| 318. C2×H(5,𝔽2) | C23 | semidirect |
| 319. C2×H(5,𝔽2) | C23 | semidirect |
| 320. C2×H(5,𝔽2) | C23 | semidirect |
| 321. C2×H(5,𝔽2) | C23 | semidirect |
| 322. C2×H(5,𝔽2) | C23 | semidirect |
| 323. C22×#41 | C23 | semidirect |
| 324. C22×#41 | C23 | semidirect |
| 325. C22×#41 | C23 | semidirect |
| 326. C23×Q8 | C23 | semidirect |
| 328. C23×D4 | C23 | semidirect |
| 329. C23×D4 | C23 | semidirect |
| 330. C23×D4 | C23 | semidirect |
| 331. C23×D4 | C23 | semidirect |
| 332. #564 | C23 | semidirect |
| 333. #563 | C23 | semidirect |
| 334. #563 | C23 | semidirect |
| 335. #563 | C23 | semidirect |
| 336. #563 | C23 | semidirect |
| 337. #563 | C23 | semidirect |
| 338. #563 | C23 | semidirect |
| 339. #563 | C23 | semidirect |
| 340. #563 | C23 | semidirect |
| 341. #563 | C23 | semidirect |
| 342. #563 | C23 | semidirect |
| 343. #563 | C23 | semidirect |
| 344. #563 | C23 | semidirect |
| 345. #562 | C23 | semidirect |
| 346. #562 | C23 | semidirect |
| 347. #562 | C23 | semidirect |
| 348. #562 | C23 | semidirect |
| 349. #562 | C23 | semidirect |
| 350. #562 | C23 | semidirect |
| 351. #562 | C23 | semidirect |
| 352. #562 | C23 | semidirect |
| 353. #562 | C23 | semidirect |
| 354. #562 | C23 | semidirect |
| 355. #562 | C23 | semidirect |
| 356. #562 | C23 | semidirect |
| 357. #562 | C23 | semidirect |
| 358. #562 | C23 | semidirect |
| 359. #562 | C23 | semidirect |
| 360. #562 | C23 | semidirect |
| 361. #562 | C23 | semidirect |
| 362. #562 | C23 | semidirect |
| 363. #562 | C23 | semidirect |
| 364. #562 | C23 | semidirect |
| 365. #562 | C23 | semidirect |
| 366. #562 | C23 | semidirect |
| 367. #562 | C23 | semidirect |
| 368. #562 | C23 | semidirect |
| 369. #562 | C23 | semidirect |
| 370. #562 | C23 | semidirect |
| 371. #562 | C23 | semidirect |
| 372. H(3,𝔽4) | C23 | semidirect |
| 373. H(3,𝔽4) | C23 | semidirect |
| 374. H(3,𝔽4) | C23 | semidirect |
| 375. H(3,𝔽4) | C23 | semidirect |
| 376. H(3,𝔽4) | C23 | semidirect |
| 377. H(3,𝔽4) | C23 | semidirect |
| 378. H(3,𝔽4) | C23 | semidirect |
| 379. H(3,𝔽4) | C23 | semidirect |
| 380. H(3,𝔽4) | C23 | semidirect |
| 381. H(3,𝔽4) | C23 | semidirect |
| 382. H(3,𝔽4) | C23 | semidirect |
| 383. H(3,𝔽4) | C23 | semidirect |
| 384. H(3,𝔽4) | C23 | semidirect |
| 385. H(3,𝔽4) | C23 | semidirect |
| 386. H(3,𝔽4) | C23 | semidirect |
| 387. H(3,𝔽4) | C23 | semidirect |
| 388. H(3,𝔽4) | C23 | semidirect |
| 389. #560 | C23 | semidirect |
| 390. #560 | C23 | semidirect |
| 391. #560 | C23 | semidirect |
| 392. #560 | C23 | semidirect |
| 393. #560 | C23 | semidirect |
| 394. #560 | C23 | semidirect |
| 395. #560 | C23 | semidirect |
| 396. #560 | C23 | semidirect |
| 397. #560 | C23 | semidirect |
| 398. #560 | C23 | semidirect |
| 399. #560 | C23 | semidirect |
| 400. #560 | C23 | semidirect |
| 401. #560 | C23 | semidirect |
| 402. #560 | C23 | semidirect |
| 403. #560 | C23 | semidirect |
| 404. #560 | C23 | semidirect |
| 405. #560 | C23 | semidirect |
| 406. #560 | C23 | semidirect |
| 407. #560 | C23 | semidirect |
| 408. #560 | C23 | semidirect |
| 409. #560 | C23 | semidirect |
| 410. #560 | C23 | semidirect |
| 411. #560 | C23 | semidirect |
| 412. #560 | C23 | semidirect |
| 413. #560 | C23 | semidirect |
| 414. #560 | C23 | semidirect |
| 415. #560 | C23 | semidirect |
| 416. #560 | C23 | semidirect |
| 417. #560 | C23 | semidirect |
| 418. #560 | C23 | semidirect |
| 419. #560 | C23 | semidirect |
| 420. #560 | C23 | semidirect |
| 421. #560 | C23 | semidirect |
| 422. #559 | C23 | semidirect |
| 423. #559 | C23 | semidirect |
| 424. #559 | C23 | semidirect |
| 425. #559 | C23 | semidirect |
| 426. #559 | C23 | semidirect |
| 427. #559 | C23 | semidirect |
| 428. #559 | C23 | semidirect |
| 429. #559 | C23 | semidirect |
| 430. #559 | C23 | semidirect |
| 431. #559 | C23 | semidirect |
| 432. #559 | C23 | semidirect |
| 433. #559 | C23 | semidirect |
| 434. #559 | C23 | semidirect |
| 435. #559 | C23 | semidirect |
| 436. #559 | C23 | semidirect |
| 437. #559 | C23 | semidirect |
| 438. #559 | C23 | semidirect |
| 439. #559 | C23 | semidirect |
| 440. #559 | C23 | semidirect |
| 441. #559 | C23 | semidirect |
| 442. #559 | C23 | semidirect |
| 443. #557 | C23 | semidirect |
| 444. #557 | C23 | semidirect |
| 445. #556 | C23 | semidirect |
| 446. #556 | C23 | semidirect |
| 447. #556 | C23 | semidirect |
| 448. #556 | C23 | semidirect |
| 449. #556 | C23 | semidirect |
| 450. #556 | C23 | semidirect |
| 451. #556 | C23 | semidirect |
| 452. #556 | C23 | semidirect |
| 453. #556 | C23 | semidirect |
| 454. #556 | C23 | semidirect |
| 455. #556 | C23 | semidirect |
| 456. #556 | C23 | semidirect |
| 457. #556 | C23 | semidirect |
| 458. #555 | C23 | semidirect |
| 459. #555 | C23 | semidirect |
| 460. #555 | C23 | semidirect |
| 461. #555 | C23 | semidirect |
| 462. #555 | C23 | semidirect |
| 463. #555 | C23 | semidirect |
| 464. #555 | C23 | semidirect |
| 465. #555 | C23 | semidirect |
| 466. #555 | C23 | semidirect |
| 467. #555 | C23 | semidirect |
| 468. #555 | C23 | semidirect |
| 469. #555 | C23 | semidirect |
| 470. #555 | C23 | semidirect |
| 471. #555 | C23 | semidirect |
| 472. #555 | C23 | semidirect |
| 473. #555 | C23 | semidirect |
| 474. #555 | C23 | semidirect |
| 475. #554 | C23 | semidirect |
| 476. #554 | C23 | semidirect |
| 477. #554 | C23 | semidirect |
| 478. #554 | C23 | semidirect |
| 479. #554 | C23 | semidirect |
| 480. #554 | C23 | semidirect |
| 481. #554 | C23 | semidirect |
| 482. #554 | C23 | semidirect |
| 483. #554 | C23 | semidirect |
| 484. #553 | C23 | semidirect |
| 485. #553 | C23 | semidirect |
| 486. #553 | C23 | semidirect |
| 487. #553 | C23 | semidirect |
| 488. #553 | C23 | semidirect |
| 489. #553 | C23 | semidirect |
| 490. #553 | C23 | semidirect |
| 491. #553 | C23 | semidirect |
| 492. #553 | C23 | semidirect |
| 493. #553 | C23 | semidirect |
| 494. #553 | C23 | semidirect |
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| 1014. #537 | C23 | semidirect |
| 1015. #537 | C23 | semidirect |
| 1016. #537 | C23 | semidirect |
| 1017. #536 | C23 | semidirect |
| 1018. #536 | C23 | semidirect |
| 1019. #536 | C23 | semidirect |
| 1020. #536 | C23 | semidirect |
| 1021. #536 | C23 | semidirect |
| 1022. #536 | C23 | semidirect |
| 1023. #536 | C23 | semidirect |
| 1024. #536 | C23 | semidirect |
| 1025. #536 | C23 | semidirect |
| 1026. #536 | C23 | semidirect |
| 1027. #536 | C23 | semidirect |
| 1028. #536 | C23 | semidirect |
| 1029. #536 | C23 | semidirect |
| 1034. #535 | C23 | semidirect |
| 1035. #535 | C23 | semidirect |
| 1036. #535 | C23 | semidirect |
| 1037. #535 | C23 | semidirect |
| 1038. #535 | C23 | semidirect |
| 1039. #535 | C23 | semidirect |
| 1040. #535 | C23 | semidirect |
| 1041. #535 | C23 | semidirect |
| 1042. #535 | C23 | semidirect |
| 1043. #535 | C23 | semidirect |
| 1044. #535 | C23 | semidirect |
| 1045. #535 | C23 | semidirect |
| 1046. #535 | C23 | semidirect |
| 1047. #535 | C23 | semidirect |
| 1048. #535 | C23 | semidirect |
| 1049. #535 | C23 | semidirect |
| 1050. #535 | C23 | semidirect |
| 1051. #535 | C23 | semidirect |
| 1052. #535 | C23 | semidirect |
| 1053. #535 | C23 | semidirect |
| 1054. #535 | C23 | semidirect |
| 1055. #535 | C23 | semidirect |
| 1056. #535 | C23 | semidirect |
| 1057. #535 | C23 | semidirect |
| 1058. #535 | C23 | semidirect |
| 1059. #535 | C23 | semidirect |
| 1060. #535 | C23 | semidirect |
| 1061. #535 | C23 | semidirect |
| 1062. #535 | C23 | semidirect |
| 1063. #535 | C23 | semidirect |
| 1064. #535 | C23 | semidirect |
| 1065. #535 | C23 | semidirect |
| 1066. #535 | C23 | semidirect |
| 1067. #535 | C23 | semidirect |
| 1068. #535 | C23 | semidirect |
| 1069. #535 | C23 | semidirect |
| 1070. #535 | C23 | semidirect |
| 1071. #535 | C23 | semidirect |
| 1072. #535 | C23 | semidirect |
| 1073. #535 | C23 | semidirect |
| 1074. #535 | C23 | semidirect |
| 1075. #535 | C23 | semidirect |
| 1076. #535 | C23 | semidirect |
| 1077. #535 | C23 | semidirect |
| 1078. #535 | C23 | semidirect |
| 1079. #535 | C23 | semidirect |
| 1080. #534 | C23 | semidirect |
| 1081. #534 | C23 | semidirect |
| 1082. #534 | C23 | semidirect |
| 1083. #534 | C23 | semidirect |
| 1084. #534 | C23 | semidirect |
| 1085. #534 | C23 | semidirect |
| 1086. #534 | C23 | semidirect |
| 1087. #534 | C23 | semidirect |
| 1088. #534 | C23 | semidirect |
| 1089. #534 | C23 | semidirect |
| 1090. #534 | C23 | semidirect |
| 1091. #534 | C23 | semidirect |
| 1092. #534 | C23 | semidirect |
| 1093. #534 | C23 | semidirect |
| 1094. #534 | C23 | semidirect |
| 1095. #534 | C23 | semidirect |
| 1096. #534 | C23 | semidirect |
| 1097. #534 | C23 | semidirect |
| 1098. #534 | C23 | semidirect |
| 1099. #534 | C23 | semidirect |
| 1100. #534 | C23 | semidirect |
| 1101. #534 | C23 | semidirect |
| 1102. #534 | C23 | semidirect |
| 1103. #534 | C23 | semidirect |
| 1104. #534 | C23 | semidirect |
| 1105. #534 | C23 | semidirect |
| 1106. #534 | C23 | semidirect |
| 1107. #534 | C23 | semidirect |
| 1108. #534 | C23 | semidirect |
| 1109. #534 | C23 | semidirect |
| 1110. #534 | C23 | semidirect |
| 1111. #534 | C23 | semidirect |
| 1112. #534 | C23 | semidirect |
| 1113. #534 | C23 | semidirect |
| 1114. #534 | C23 | semidirect |
| 1115. #534 | C23 | semidirect |
| 1116. #534 | C23 | semidirect |
| 1117. #534 | C23 | semidirect |
| 1118. #534 | C23 | semidirect |
| 1119. #534 | C23 | semidirect |
| 1120. #534 | C23 | semidirect |
| 1121. #534 | C23 | semidirect |
| 1122. #533 | C23 | semidirect |
| 1123. #533 | C23 | semidirect |
| 1124. #533 | C23 | semidirect |
| 1125. #533 | C23 | semidirect |
| 1126. #533 | C23 | semidirect |
| 1127. #533 | C23 | semidirect |
| 1128. #533 | C23 | semidirect |
| 1130. #532 | C23 | semidirect |
| 1131. #532 | C23 | semidirect |
| 1132. #532 | C23 | semidirect |
| 1133. #532 | C23 | semidirect |
| 1134. #532 | C23 | semidirect |
| 1135. #532 | C23 | semidirect |
| 1136. #532 | C23 | semidirect |
| 1137. #532 | C23 | semidirect |
| 1138. #532 | C23 | semidirect |
| 1139. #532 | C23 | semidirect |
| 1140. #532 | C23 | semidirect |
| 1141. #532 | C23 | semidirect |
| 1142. #532 | C23 | semidirect |
| 1143. #532 | C23 | semidirect |
| 1144. #532 | C23 | semidirect |
| 1145. #532 | C23 | semidirect |
| 1146. #532 | C23 | semidirect |
| 1147. #532 | C23 | semidirect |
| 1148. #532 | C23 | semidirect |
| 1149. #532 | C23 | semidirect |
| 1150. #532 | C23 | semidirect |
| 1151. #532 | C23 | semidirect |
| 1152. #532 | C23 | semidirect |
| 1153. #532 | C23 | semidirect |
| 1154. #532 | C23 | semidirect |
| 1155. #532 | C23 | semidirect |
| 1156. #532 | C23 | semidirect |
| 1157. #532 | C23 | semidirect |
| 1158. #532 | C23 | semidirect |
| 1159. #532 | C23 | semidirect |
| 1160. C2×C4⋊Q8 | C23 | semidirect |
| 1162. C2×#127 | C23 | semidirect |
| 1163. C2×#127 | C23 | semidirect |
| 1164. C2×#127 | C23 | semidirect |
| 1165. C2×#127 | C23 | semidirect |
| 1166. C2×#127 | C23 | semidirect |
| 1167. #529 | C23 | semidirect |
| 1168. #529 | C23 | semidirect |
| 1169. #529 | C23 | semidirect |
| 1170. #529 | C23 | semidirect |
| 1171. #529 | C23 | semidirect |
| 1172. #529 | C23 | semidirect |
| 1173. #529 | C23 | semidirect |
| 1174. #529 | C23 | semidirect |
| 1175. #529 | C23 | semidirect |
| 1176. #529 | C23 | semidirect |
| 1177. #529 | C23 | semidirect |
| 1178. #529 | C23 | semidirect |
| 1179. #529 | C23 | semidirect |
| 1180. #529 | C23 | semidirect |
| 1181. #529 | C23 | semidirect |
| 1182. #529 | C23 | semidirect |
| 1183. #529 | C23 | semidirect |
| 1184. #529 | C23 | semidirect |
| 1185. #529 | C23 | semidirect |
| 1186. #529 | C23 | semidirect |
| 1187. #529 | C23 | semidirect |
| 1188. #529 | C23 | semidirect |
| 1189. #529 | C23 | semidirect |
| 1190. #529 | C23 | semidirect |
| 1191. #529 | C23 | semidirect |
| 1192. #529 | C23 | semidirect |
| 1193. #529 | C23 | semidirect |
| 1194. #529 | C23 | semidirect |
| 1195. #529 | C23 | semidirect |
| 1196. #529 | C23 | semidirect |
| 1197. #529 | C23 | semidirect |
| 1198. #529 | C23 | semidirect |
| 1199. #529 | C23 | semidirect |
| 1200. #529 | C23 | semidirect |
| 1201. #529 | C23 | semidirect |
| 1202. #529 | C23 | semidirect |
| 1203. #529 | C23 | semidirect |
| 1204. #529 | C23 | semidirect |
| 1205. #529 | C23 | semidirect |
| 1206. #529 | C23 | semidirect |
| 1207. #529 | C23 | semidirect |
| 1208. #529 | C23 | semidirect |
| 1209. #529 | C23 | semidirect |
| 1210. #529 | C23 | semidirect |
| 1211. #529 | C23 | semidirect |
| 1212. C2×#126 | C23 | semidirect |
| 1213. C2×#126 | C23 | semidirect |
| 1214. C2×#126 | C23 | semidirect |
| 1215. C2×#125 | C23 | semidirect |
| 1216. C2×#124 | C23 | semidirect |
| 1217. C2×#124 | C23 | semidirect |
| 1218. C2×#124 | C23 | semidirect |
| 1219. C2×#124 | C23 | semidirect |
| 1220. C2×#124 | C23 | semidirect |
| 1221. C2×#124 | C23 | semidirect |
| 1222. C2×#124 | C23 | semidirect |
| 1223. C2×#124 | C23 | semidirect |
| 1224. C2×#124 | C23 | semidirect |
| 1225. C2×#124 | C23 | semidirect |
| 1226. C2×#124 | C23 | semidirect |
| 1227. C2×#124 | C23 | semidirect |
| 1228. C2×#124 | C23 | semidirect |
| 1229. C2×#124 | C23 | semidirect |
| 1230. C2×#124 | C23 | semidirect |
| 1231. C2×#124 | C23 | semidirect |
| 1232. C2×#124 | C23 | semidirect |
| 1233. C2×#124 | C23 | semidirect |
| 1234. C2×#124 | C23 | semidirect |
| 1235. C2×#124 | C23 | semidirect |
| 1236. #525 | C23 | semidirect |
| 1237. #525 | C23 | semidirect |
| 1238. #525 | C23 | semidirect |
| 1239. #525 | C23 | semidirect |
| 1240. #525 | C23 | semidirect |
| 1241. #525 | C23 | semidirect |
| 1242. #525 | C23 | semidirect |
| 1243. #525 | C23 | semidirect |
| 1244. #525 | C23 | semidirect |
| 1245. #525 | C23 | semidirect |
| 1246. #525 | C23 | semidirect |
| 1247. #525 | C23 | semidirect |
| 1248. #525 | C23 | semidirect |
| 1249. #525 | C23 | semidirect |
| 1250. #525 | C23 | semidirect |
| 1251. #525 | C23 | semidirect |
| 1252. #525 | C23 | semidirect |
| 1253. #525 | C23 | semidirect |
| 1254. #525 | C23 | semidirect |
| 1255. #525 | C23 | semidirect |
| 1256. #525 | C23 | semidirect |
| 1257. #525 | C23 | semidirect |
| 1258. #525 | C23 | semidirect |
| 1259. #525 | C23 | semidirect |
| 1260. #525 | C23 | semidirect |
| 1261. #525 | C23 | semidirect |
| 1262. #525 | C23 | semidirect |
| 1263. #525 | C23 | semidirect |
| 1264. #525 | C23 | semidirect |
| 1265. #525 | C23 | semidirect |
| 1266. #525 | C23 | semidirect |
| 1267. #525 | C23 | semidirect |
| 1268. #525 | C23 | semidirect |
| 1269. C2×#123 | C23 | semidirect |
| 1270. C2×#123 | C23 | semidirect |
| 1271. C2×#123 | C23 | semidirect |
| 1272. C2×#123 | C23 | semidirect |
| 1273. C2×#123 | C23 | semidirect |
| 1274. C2×#123 | C23 | semidirect |
| 1275. C2×#123 | C23 | semidirect |
| 1276. C2×#123 | C23 | semidirect |
| 1277. C2×C22⋊Q8 | C23 | semidirect |
| 1278. C2×C22⋊Q8 | C23 | semidirect |
| 1279. C2×C22⋊Q8 | C23 | semidirect |
| 1280. C2×C22⋊Q8 | C23 | semidirect |
| 1281. C2×C22⋊Q8 | C23 | semidirect |
| 1284. C2×#121 | C23 | semidirect |
| 1285. C2×#121 | C23 | semidirect |
| 1286. C2×#121 | C23 | semidirect |
| 1287. C2×#121 | C23 | semidirect |
| 1288. C2×#121 | C23 | semidirect |
| 1289. C2×#121 | C23 | semidirect |
| 1290. C2×#121 | C23 | semidirect |
| 1291. C2×#121 | C23 | semidirect |
| 1292. C2×#121 | C23 | semidirect |
| 1293. C2×#121 | C23 | semidirect |
| 1294. C2×#121 | C23 | semidirect |
| 1295. C2×#121 | C23 | semidirect |
| 1296. C2×#121 | C23 | semidirect |
| 1297. C2×#121 | C23 | semidirect |
| 1298. C2×#121 | C23 | semidirect |
| 1299. C2×#121 | C23 | semidirect |
| 1300. C2×#121 | C23 | semidirect |
| 1301. C2×#121 | C23 | semidirect |
| 1302. C2×#120 | C23 | semidirect |
| 1303. C2×#120 | C23 | semidirect |
| 1304. C2×#120 | C23 | semidirect |
| 1305. C2×#120 | C23 | semidirect |
| 1306. C2×#120 | C23 | semidirect |
| 1307. C2×#120 | C23 | semidirect |
| 1308. C2×#120 | C23 | semidirect |
| 1309. C2×#120 | C23 | semidirect |
| 1310. C2×#120 | C23 | semidirect |
| 1311. C2×#120 | C23 | semidirect |
| 1312. C2×#120 | C23 | semidirect |
| 1313. C2×#120 | C23 | semidirect |
| 1314. C2×#120 | C23 | semidirect |
| 1315. C2×#120 | C23 | semidirect |
| 1316. C2×#120 | C23 | semidirect |
| 1317. C2×#120 | C23 | semidirect |
| 1318. #520 | C23 | semidirect |
| 1319. #520 | C23 | semidirect |
| 1320. #520 | C23 | semidirect |
| 1321. #520 | C23 | semidirect |
| 1322. #520 | C23 | semidirect |
| 1323. #519 | C23 | semidirect |
| 1324. #519 | C23 | semidirect |
| 1325. #518 | C23 | semidirect |
| 1326. #518 | C23 | semidirect |
| 1327. #518 | C23 | semidirect |
| 1328. #518 | C23 | semidirect |
| 1329. #518 | C23 | semidirect |
| 1330. #518 | C23 | semidirect |
| 1331. #518 | C23 | semidirect |
| 1332. #518 | C23 | semidirect |
| 1333. #518 | C23 | semidirect |
| 1334. #518 | C23 | semidirect |
| 1335. #518 | C23 | semidirect |
| 1336. C4×#41 | C23 | semidirect |
| 1337. C4×#41 | C23 | semidirect |
| 1338. C4×#41 | C23 | semidirect |
| 1339. C4×#41 | C23 | semidirect |
| 1340. C4×#41 | C23 | semidirect |
| 1341. C4×#41 | C23 | semidirect |
| 1342. C4×#41 | C23 | semidirect |
| 1343. C4×#41 | C23 | semidirect |
| 1344. C4×#41 | C23 | semidirect |
| 1345. C4×#41 | C23 | semidirect |
| 1346. C2×C4×Q8 | C23 | semidirect |
| 1347. C2×C4×Q8 | C23 | semidirect |
| 1348. C2×C4×D4 | C23 | semidirect |
| 1349. C2×C4×D4 | C23 | semidirect |
| 1350. C2×C4×D4 | C23 | semidirect |
| 1351. C2×C4×D4 | C23 | semidirect |
| 1352. C2×C4×D4 | C23 | semidirect |
| 1353. C2×C4×D4 | C23 | semidirect |
| 1354. C2×C4×D4 | C23 | semidirect |
| 1355. C2×C4×D4 | C23 | semidirect |
| 1356. C2×C4×D4 | C23 | semidirect |
| 1357. C2×C4×D4 | C23 | semidirect |
| 1358. C2×C4×D4 | C23 | semidirect |
| 1359. C2×#117 | C23 | semidirect |
| 1360. C2×#117 | C23 | semidirect |
| 1361. C22×C22⋊C4 | C23 | semidirect |
| 1362. C22×C22⋊C4 | C23 | semidirect |
| 1363. C22×C42 | C23 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #63066 | 2 |
| #63060 | 2 |
| #63055 | 2 |
| #63045 | 2 |
| #63020 | 2 |
| #63011 | 2 |
| #62973 | 2 |
| #62970 | 2 |
| #62965 | 2 |
| #62961 | 2 |
| #62918 | 2 |
| #62912 | 2 |
| #62896 | 2 |
| #62892 | 2 |
| #62885 | 2 |
| #62876 | 2 |
| #62867 | 2 |
| #62863 | 2 |
| #62834 | 2 |
| #62830 | 2 |
| #62824 | 2 |
| #62755 | 2 |
| C2×#3558 | 2 |