Order 1024.
At least 6601 conjugacy classes of subgroups; only the 3689 normal subgroups are shown.
The subgroup lattice has 1727 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, commutator, Frattini, socle, cosocle | C24 | C26 |
| LCS | G ▷ C24 ▷ C1 | |
| UCS | C1 ◁ C24 ◁ G | |
| LECS | G ▷ C24 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#37644 | C2 | semidirect |
| 2. C2×#36714 | C2 | semidirect |
| 3. C22×#2679 | C2 | semidirect |
| 4. C2×D4×#120 | C2 | semidirect |
| 5. #4341466 | C2 | semidirect |
| 6. #4341438 | C2 | semidirect |
| 7. #4312055 | C2 | semidirect |
| 8. #4312014 | C2 | semidirect |
| 9. #3071217 | C2 | semidirect |
| 10. #3069326 | C2 | semidirect |
| 11. #2922862 | C2 | semidirect |
| 12. #2921192 | C2 | semidirect |
| 13. #2807696 | C2 | semidirect |
| 14. #2805645 | C2 | semidirect |
| 15. #2033441 | C2 | semidirect |
| 16. #2032030 | C2 | semidirect |
| 17. #1613893 | C2 | semidirect |
| 18. #1613639 | C2 | semidirect |
| 19. #1572734 | C2 | semidirect |
| 20. #1572477 | C2 | semidirect |
| 21. #1393257 | C2 | semidirect |
| 22. #996114 | C2 | semidirect |
| 23. #989138 | C2 | semidirect |
| 24. #988825 | C2 | semidirect |
| 25. #875731 | C2 | semidirect |
| 26. #856657 | C2 | semidirect |
| 27. #849932 | C2 | semidirect |
| 28. #845677 | C2 | semidirect |
| 29. #845325 | C2 | semidirect |
| 30. #845297 | C2 | semidirect |
| 31. #845297 | C2 | semidirect |
| 32. #845297 | C2 | semidirect |
| 33. #777398 | C2 | semidirect |
| 34. #773130 | C2 | semidirect |
| 35. #649373 | C2 | semidirect |
| 36. #647656 | C2 | semidirect |
| 37. #612424 | C2 | semidirect |
| 38. #554822 | C2 | semidirect |
| 39. #524465 | C2 | semidirect |
| 40. C25×D4 | C22 | semidirect |
| 43. C22×#534 | C22 | semidirect |
| 45. C23×#120 | C22 | semidirect |
| 46. C23×#120 | C22 | semidirect |
| 47. C23×#120 | C22 | semidirect |
| 48. C23×#120 | C22 | semidirect |
| 49. C23×#120 | C22 | semidirect |
| 50. C2×#2697 | C22 | semidirect |
| 51. C2×#2697 | C22 | semidirect |
| 52. C2×#2697 | C22 | semidirect |
| 53. C2×#2697 | C22 | semidirect |
| 56. C2×#2679 | C22 | semidirect |
| 57. C2×#2679 | C22 | semidirect |
| 58. C2×#2679 | C22 | semidirect |
| 59. C2×#2679 | C22 | semidirect |
| 60. C2×#2679 | C22 | semidirect |
| 61. C2×#2679 | C22 | semidirect |
| 62. C2×#2679 | C22 | semidirect |
| 63. C2×#2679 | C22 | semidirect |
| 64. C2×#2679 | C22 | semidirect |
| 65. C2×#2679 | C22 | semidirect |
| 66. C2×#2679 | C22 | semidirect |
| 67. C2×#2679 | C22 | semidirect |
| 68. C2×#2679 | C22 | semidirect |
| 69. C2×#2678 | C22 | semidirect |
| 70. C2×#2678 | C22 | semidirect |
| 71. C2×#2678 | C22 | semidirect |
| 72. C2×#2678 | C22 | semidirect |
| 73. C2×#2678 | C22 | semidirect |
| 74. C2×#2678 | C22 | semidirect |
| 75. C2×#2669 | C22 | semidirect |
| 76. C2×#2668 | C22 | semidirect |
| 77. C2×#2847 | C22 | semidirect |
| 78. C2×#2846 | C22 | semidirect |
| 79. C2×#2846 | C22 | semidirect |
| 80. C2×#2846 | C22 | semidirect |
| 81. C2×#2846 | C22 | semidirect |
| 82. C2×#2846 | C22 | semidirect |
| 83. C2×#2846 | C22 | semidirect |
| 84. C2×#2539 | C22 | semidirect |
| 85. C2×#2534 | C22 | semidirect |
| 86. C2×#2411 | C22 | semidirect |
| 87. C2×#2411 | C22 | semidirect |
| 88. C2×#2433 | C22 | semidirect |
| 89. C2×#2433 | C22 | semidirect |
| 90. C2×#2408 | C22 | semidirect |
| 91. C2×#2408 | C22 | semidirect |
| 92. C2×#2408 | C22 | semidirect |
| 93. C2×#2412 | C22 | semidirect |
| 94. C2×#2405 | C22 | semidirect |
| 95. C2×#2405 | C22 | semidirect |
| 96. C2×#2424 | C22 | semidirect |
| 97. C2×#2443 | C22 | semidirect |
| 98. C2×#2418 | C22 | semidirect |
| 99. C2×#2418 | C22 | semidirect |
| 100. C2×#2410 | C22 | semidirect |
| 101. C2×#2410 | C22 | semidirect |
| 102. C2×#2410 | C22 | semidirect |
| 103. C2×#2410 | C22 | semidirect |
| 104. C2×#2410 | C22 | semidirect |
| 110. C2×#2403 | C22 | semidirect |
| 111. C2×#2403 | C22 | semidirect |
| 112. C2×#2403 | C22 | semidirect |
| 113. C2×#2403 | C22 | semidirect |
| 114. C2×#2403 | C22 | semidirect |
| 115. C2×#2403 | C22 | semidirect |
| 116. C2×#2403 | C22 | semidirect |
| 117. C2×#2403 | C22 | semidirect |
| 118. C2×#2622 | C22 | semidirect |
| 119. C2×#2617 | C22 | semidirect |
| 120. C2×#2613 | C22 | semidirect |
| 121. C22×#394 | C22 | semidirect |
| 122. C22×#394 | C22 | semidirect |
| 123. C22×#394 | C22 | semidirect |
| 124. C2×#2352 | C22 | semidirect |
| 125. C2×D4×C22⋊C4 | C22 | semidirect |
| 126. C2×D4×C22⋊C4 | C22 | semidirect |
| 127. C2×D4×C22⋊C4 | C22 | semidirect |
| 128. C2×#2321 | C22 | semidirect |
| 129. C2×#2309 | C22 | semidirect |
| 130. C2×C4×#120 | C22 | semidirect |
| 131. C22×#390 | C22 | semidirect |
| 132. C22×#390 | C22 | semidirect |
| 133. C2×#2290 | C22 | semidirect |
| 134. #17115 | C22 | semidirect |
| 135. #17093 | C22 | semidirect |
| 136. #17091 | C22 | semidirect |
| 137. #17088 | C22 | semidirect |
| 138. #17088 | C22 | semidirect |
| 139. #17086 | C22 | semidirect |
| 140. #17022 | C22 | semidirect |
| 141. #16816 | C22 | semidirect |
| 142. #16810 | C22 | semidirect |
| 143. #16807 | C22 | semidirect |
| 144. #16801 | C22 | semidirect |
| 145. #16801 | C22 | semidirect |
| 146. #16654 | C22 | semidirect |
| 147. #16552 | C22 | semidirect |
| 148. #16552 | C22 | semidirect |
| 149. #16551 | C22 | semidirect |
| 150. #16551 | C22 | semidirect |
| 151. #16535 | C22 | semidirect |
| 152. #16530 | C22 | semidirect |
| 153. #16526 | C22 | semidirect |
| 154. #16526 | C22 | semidirect |
| 155. #16526 | C22 | semidirect |
| 156. #16516 | C22 | semidirect |
| 157. #16372 | C22 | semidirect |
| 158. #16372 | C22 | semidirect |
| 159. #16367 | C22 | semidirect |
| 160. #16363 | C22 | semidirect |
| 161. #16291 | C22 | semidirect |
| 162. #16289 | C22 | semidirect |
| 163. #16288 | C22 | semidirect |
| 164. #16286 | C22 | semidirect |
| 165. #16284 | C22 | semidirect |
| 166. #16283 | C22 | semidirect |
| 167. #16274 | C22 | semidirect |
| 168. #16272 | C22 | semidirect |
| 169. #16268 | C22 | semidirect |
| 170. #16266 | C22 | semidirect |
| 171. #16266 | C22 | semidirect |
| 172. #16256 | C22 | semidirect |
| 173. #16255 | C22 | semidirect |
| 174. #16255 | C22 | semidirect |
| 175. #16255 | C22 | semidirect |
| 176. #16255 | C22 | semidirect |
| 177. #16255 | C22 | semidirect |
| 178. #16255 | C22 | semidirect |
| 179. #16255 | C22 | semidirect |
| 180. #16255 | C22 | semidirect |
| 181. #16255 | C22 | semidirect |
| 182. #16250 | C22 | semidirect |
| 183. #16249 | C22 | semidirect |
| 184. #16249 | C22 | semidirect |
| 185. #16249 | C22 | semidirect |
| 186. #16249 | C22 | semidirect |
| 187. #16249 | C22 | semidirect |
| 188. #16249 | C22 | semidirect |
| 189. #16249 | C22 | semidirect |
| 190. #16249 | C22 | semidirect |
| 191. #16249 | C22 | semidirect |
| 192. #15948 | C22 | semidirect |
| 193. #15947 | C22 | semidirect |
| 194. #15947 | C22 | semidirect |
| 195. #15947 | C22 | semidirect |
| 196. #15947 | C22 | semidirect |
| 197. #15947 | C22 | semidirect |
| 198. #15776 | C22 | semidirect |
| 199. #15776 | C22 | semidirect |
| 200. #15764 | C22 | semidirect |
| 201. #15764 | C22 | semidirect |
| 202. #15655 | C22 | semidirect |
| 203. #15655 | C22 | semidirect |
| 204. #15640 | C22 | semidirect |
| 205. #15640 | C22 | semidirect |
| 206. #15640 | C22 | semidirect |
| 207. #15634 | C22 | semidirect |
| 208. #15577 | C22 | semidirect |
| 209. #15567 | C22 | semidirect |
| 210. #15561 | C22 | semidirect |
| 211. #15550 | C22 | semidirect |
| 212. #15538 | C22 | semidirect |
| 213. #15507 | C22 | semidirect |
| 214. #15502 | C22 | semidirect |
| 215. #15501 | C22 | semidirect |
| 216. #15501 | C22 | semidirect |
| 217. #15501 | C22 | semidirect |
| 218. #15496 | C22 | semidirect |
| 219. #15419 | C22 | semidirect |
| 220. #15412 | C22 | semidirect |
| 221. #15403 | C22 | semidirect |
| 222. #15403 | C22 | semidirect |
| 223. #15380 | C22 | semidirect |
| 224. #15340 | C22 | semidirect |
| 225. #15338 | C22 | semidirect |
| 226. #15335 | C22 | semidirect |
| 227. #15320 | C22 | semidirect |
| 228. #15315 | C22 | semidirect |
| 229. #15315 | C22 | semidirect |
| 230. #15313 | C22 | semidirect |
| 231. #15312 | C22 | semidirect |
| 232. #15283 | C22 | semidirect |
| 233. #15283 | C22 | semidirect |
| 234. #15283 | C22 | semidirect |
| 235. #15283 | C22 | semidirect |
| 236. #15283 | C22 | semidirect |
| 237. #15281 | C22 | semidirect |
| 238. #15281 | C22 | semidirect |
| 239. #15281 | C22 | semidirect |
| 240. #15277 | C22 | semidirect |
| 241. #15272 | C22 | semidirect |
| 242. #15270 | C22 | semidirect |
| 243. #15268 | C22 | semidirect |
| 244. #15268 | C22 | semidirect |
| 245. #15268 | C22 | semidirect |
| 246. #15268 | C22 | semidirect |
| 247. #15268 | C22 | semidirect |
| 248. #15268 | C22 | semidirect |
| 249. #15268 | C22 | semidirect |
| 250. #15268 | C22 | semidirect |
| 251. #15268 | C22 | semidirect |
| 252. #15268 | C22 | semidirect |
| 253. #15267 | C22 | semidirect |
| 254. #15267 | C22 | semidirect |
| 255. #15267 | C22 | semidirect |
| 256. #15267 | C22 | semidirect |
| 257. #15267 | C22 | semidirect |
| 258. #15267 | C22 | semidirect |
| 259. #15267 | C22 | semidirect |
| 260. #15267 | C22 | semidirect |
| 261. #15267 | C22 | semidirect |
| 262. #15267 | C22 | semidirect |
| 263. #15266 | C22 | semidirect |
| 264. #15266 | C22 | semidirect |
| 265. #15266 | C22 | semidirect |
| 266. #15266 | C22 | semidirect |
| 267. #15266 | C22 | semidirect |
| 268. #15261 | C22 | semidirect |
| 269. #15260 | C22 | semidirect |
| 270. #15258 | C22 | semidirect |
| 271. #15258 | C22 | semidirect |
| 272. #15257 | C22 | semidirect |
| 273. #15257 | C22 | semidirect |
| 274. #15257 | C22 | semidirect |
| 275. #15257 | C22 | semidirect |
| 276. #15257 | C22 | semidirect |
| 277. #15257 | C22 | semidirect |
| 278. #15162 | C22 | semidirect |
| 279. #14996 | C22 | semidirect |
| 280. #14922 | C22 | semidirect |
| 281. #14900 | C22 | semidirect |
| 282. #14886 | C22 | semidirect |
| 283. #14886 | C22 | semidirect |
| 284. #14824 | C22 | semidirect |
| 285. #14820 | C22 | semidirect |
| 286. #14815 | C22 | semidirect |
| 287. #14815 | C22 | semidirect |
| 288. #14776 | C22 | semidirect |
| 289. #14760 | C22 | semidirect |
| 290. #14737 | C22 | semidirect |
| 291. #14729 | C22 | semidirect |
| 292. #14729 | C22 | semidirect |
| 293. #14727 | C22 | semidirect |
| 294. #14726 | C22 | semidirect |
| 295. #14726 | C22 | semidirect |
| 296. #14725 | C22 | semidirect |
| 297. #14725 | C22 | semidirect |
| 298. #14725 | C22 | semidirect |
| 299. #14725 | C22 | semidirect |
| 300. #14724 | C22 | semidirect |
| 301. #14724 | C22 | semidirect |
| 302. #14724 | C22 | semidirect |
| 303. #14724 | C22 | semidirect |
| 304. #14718 | C22 | semidirect |
| 305. #14718 | C22 | semidirect |
| 306. #14718 | C22 | semidirect |
| 307. #14718 | C22 | semidirect |
| 308. #14718 | C22 | semidirect |
| 309. #14716 | C22 | semidirect |
| 310. #14716 | C22 | semidirect |
| 311. #14716 | C22 | semidirect |
| 312. #14716 | C22 | semidirect |
| 313. #14715 | C22 | semidirect |
| 314. #14715 | C22 | semidirect |
| 315. #14715 | C22 | semidirect |
| 316. #14715 | C22 | semidirect |
| 317. #14715 | C22 | semidirect |
| 318. #14715 | C22 | semidirect |
| 319. #14715 | C22 | semidirect |
| 320. #14715 | C22 | semidirect |
| 321. #14715 | C22 | semidirect |
| 322. #14715 | C22 | semidirect |
| 323. #14715 | C22 | semidirect |
| 324. #14715 | C22 | semidirect |
| 325. #14715 | C22 | semidirect |
| 326. #14715 | C22 | semidirect |
| 327. #14715 | C22 | semidirect |
| 328. #14715 | C22 | semidirect |
| 329. #14698 | C22 | semidirect |
| 330. #14696 | C22 | semidirect |
| 331. #14694 | C22 | semidirect |
| 332. #14694 | C22 | semidirect |
| 333. #14679 | C22 | semidirect |
| 334. #14536 | C22 | semidirect |
| 335. #14527 | C22 | semidirect |
| 336. #14519 | C22 | semidirect |
| 337. #14517 | C22 | semidirect |
| 338. #14505 | C22 | semidirect |
| 339. #14486 | C22 | semidirect |
| 340. #14429 | C22 | semidirect |
| 341. #14418 | C22 | semidirect |
| 342. #14418 | C22 | semidirect |
| 343. #14358 | C22 | semidirect |
| 344. #14358 | C22 | semidirect |
| 345. #14358 | C22 | semidirect |
| 346. #14358 | C22 | semidirect |
| 347. #14358 | C22 | semidirect |
| 348. #14357 | C22 | semidirect |
| 349. #14357 | C22 | semidirect |
| 350. #14357 | C22 | semidirect |
| 351. #14357 | C22 | semidirect |
| 352. #14357 | C22 | semidirect |
| 353. #14357 | C22 | semidirect |
| 354. #14357 | C22 | semidirect |
| 355. #14303 | C22 | semidirect |
| 356. #14272 | C22 | semidirect |
| 357. #14257 | C22 | semidirect |
| 358. #14201 | C22 | semidirect |
| 359. #14201 | C22 | semidirect |
| 360. #14173 | C22 | semidirect |
| 361. #14154 | C22 | semidirect |
| 362. #14137 | C22 | semidirect |
| 363. #14136 | C22 | semidirect |
| 364. #14134 | C22 | semidirect |
| 365. #14082 | C22 | semidirect |
| 366. #14023 | C22 | semidirect |
| 367. #14015 | C22 | semidirect |
| 368. #13999 | C22 | semidirect |
| 369. #13995 | C22 | semidirect |
| 370. #13995 | C22 | semidirect |
| 371. #13995 | C22 | semidirect |
| 372. #13995 | C22 | semidirect |
| 373. #13995 | C22 | semidirect |
| 374. #13975 | C22 | semidirect |
| 375. #13971 | C22 | semidirect |
| 376. #13967 | C22 | semidirect |
| 377. #13967 | C22 | semidirect |
| 378. #13967 | C22 | semidirect |
| 379. #13967 | C22 | semidirect |
| 380. #13967 | C22 | semidirect |
| 381. #13941 | C22 | semidirect |
| 382. #13902 | C22 | semidirect |
| 383. #13902 | C22 | semidirect |
| 384. #13902 | C22 | semidirect |
| 385. #13873 | C22 | semidirect |
| 386. #13867 | C22 | semidirect |
| 387. #13867 | C22 | semidirect |
| 388. #13867 | C22 | semidirect |
| 389. #13867 | C22 | semidirect |
| 390. #13867 | C22 | semidirect |
| 391. #13867 | C22 | semidirect |
| 392. #13867 | C22 | semidirect |
| 393. #13867 | C22 | semidirect |
| 394. #13785 | C22 | semidirect |
| 396. C27 | C23 | semidirect |
| 397. C27 | C23 | semidirect |
| 410. C24×D4 | C23 | semidirect |
| 411. C24×D4 | C23 | semidirect |
| 412. C24×D4 | C23 | semidirect |
| 413. C24×D4 | C23 | semidirect |
| 414. C24×D4 | C23 | semidirect |
| 415. C24×D4 | C23 | semidirect |
| 416. C25×C4 | C23 | semidirect |
| 417. C2×D42 | D4 | semidirect |
| 421. C22×#123 | C23 | semidirect |
| 422. C22×#123 | C23 | semidirect |
| 423. C22×#123 | C23 | semidirect |
| 424. C22×#123 | C23 | semidirect |
| 425. C22×#123 | C23 | semidirect |
| 435. C22×#121 | C23 | semidirect |
| 436. C22×#121 | C23 | semidirect |
| 486. C22×#120 | C23 | semidirect |
| 487. C22×#120 | C23 | semidirect |
| 488. C22×#120 | C23 | semidirect |
| 489. C22×#120 | C23 | semidirect |
| 490. C22×#120 | C23 | semidirect |
| 491. C22×#120 | C23 | semidirect |
| 492. C22×#120 | C23 | semidirect |
| 493. C22×#120 | C23 | semidirect |
| 494. C22×#120 | C23 | semidirect |
| 495. C22×#120 | C23 | semidirect |
| 496. C22×#120 | C23 | semidirect |
| 497. C22×#120 | C23 | semidirect |
| 498. C22×#120 | C23 | semidirect |
| 499. C22×#120 | C23 | semidirect |
| 500. C22×#120 | C23 | semidirect |
| 501. C22×#120 | C23 | semidirect |
| 502. C22×#120 | C23 | semidirect |
| 503. C22×#120 | C23 | semidirect |
| 504. C22×#120 | C23 | semidirect |
| 505. C22×#120 | C23 | semidirect |
| 506. C22×#120 | C23 | semidirect |
| 507. C22×#120 | C23 | semidirect |
| 512. C22×C4×D4 | C23 | semidirect |
| 513. C22×#117 | C23 | semidirect |
| 514. C22×#117 | C23 | semidirect |
| 515. C23×C4⋊C4 | C23 | semidirect |
| 516. C23×C4⋊C4 | C23 | semidirect |
| 522. C23×C22⋊C4 | C23 | semidirect |
| 523. C23×C22⋊C4 | C23 | semidirect |
| 524. C23×C22⋊C4 | C23 | semidirect |
| 525. C23×C22⋊C4 | C23 | semidirect |
| 526. C23×C22⋊C4 | C23 | semidirect |
| 527. C23×C22⋊C4 | C23 | semidirect |
| 528. C23×C22⋊C4 | C23 | semidirect |
| 529. C23×C22⋊C4 | C23 | semidirect |
| 530. C23×C22⋊C4 | C23 | semidirect |
| 531. C23×C22⋊C4 | C23 | semidirect |
| 532. C23×C22⋊C4 | C23 | semidirect |
| 533. C23×C42 | C23 | semidirect |
| 534. #2679 | D4 | semidirect |
| 535. C2×#399 | C23 | semidirect |
| 536. C2×#399 | C23 | semidirect |
| 537. C2×#399 | C23 | semidirect |
| 538. C2×#398 | C23 | semidirect |
| 539. C2×#397 | C23 | semidirect |
| 540. C2×#397 | C23 | semidirect |
| 541. C2×#397 | C23 | semidirect |
| 542. C2×#397 | C23 | semidirect |
| 543. C2×#397 | C23 | semidirect |
| 544. C2×#397 | C23 | semidirect |
| 545. C2×#397 | C23 | semidirect |
| 546. C2×#397 | C23 | semidirect |
| 547. C2×#397 | C23 | semidirect |
| 548. C2×#397 | C23 | semidirect |
| 549. C2×#397 | C23 | semidirect |
| 550. C2×#396 | C23 | semidirect |
| 551. C2×#396 | C23 | semidirect |
| 552. C2×#396 | C23 | semidirect |
| 553. C2×#396 | C23 | semidirect |
| 554. C2×#396 | C23 | semidirect |
| 555. C2×#396 | C23 | semidirect |
| 556. C2×#396 | C23 | semidirect |
| 557. C2×#396 | C23 | semidirect |
| 558. C2×#396 | C23 | semidirect |
| 579. C2×#394 | C23 | semidirect |
| 580. C2×#394 | C23 | semidirect |
| 581. C2×#394 | C23 | semidirect |
| 582. C2×#394 | C23 | semidirect |
| 583. C2×#394 | C23 | semidirect |
| 584. C2×#394 | C23 | semidirect |
| 585. C2×#394 | C23 | semidirect |
| 586. C2×#394 | C23 | semidirect |
| 587. C2×#394 | C23 | semidirect |
| 588. C2×#394 | C23 | semidirect |
| 589. C2×#394 | C23 | semidirect |
| 590. C2×#394 | C23 | semidirect |
| 591. C2×#394 | C23 | semidirect |
| 592. C2×#394 | C23 | semidirect |
| 593. C2×#394 | C23 | semidirect |
| 594. C2×#394 | C23 | semidirect |
| 595. C2×#394 | C23 | semidirect |
| 596. C2×#394 | C23 | semidirect |
| 597. C2×#394 | C23 | semidirect |
| 598. C2×#394 | C23 | semidirect |
| 599. C2×#394 | C23 | semidirect |
| 600. C2×#394 | C23 | semidirect |
| 601. C2×#394 | C23 | semidirect |
| 602. C2×#394 | C23 | semidirect |
| 603. C2×#394 | C23 | semidirect |
| 604. C2×#394 | C23 | semidirect |
| 605. C2×#394 | C23 | semidirect |
| 606. C2×#394 | C23 | semidirect |
| 607. C2×#394 | C23 | semidirect |
| 608. C2×#394 | C23 | semidirect |
| 609. C2×#394 | C23 | semidirect |
| 610. C2×#394 | C23 | semidirect |
| 611. C2×#394 | C23 | semidirect |
| 612. C2×#394 | C23 | semidirect |
| 613. C2×#394 | C23 | semidirect |
| 614. C2×#394 | C23 | semidirect |
| 615. C2×#394 | C23 | semidirect |
| 616. C2×#394 | C23 | semidirect |
| 617. C2×#394 | C23 | semidirect |
| 618. C2×#394 | C23 | semidirect |
| 619. C2×#394 | C23 | semidirect |
| 620. C2×#394 | C23 | semidirect |
| 621. C2×#394 | C23 | semidirect |
| 657. C2×#392 | C23 | semidirect |
| 658. C2×#392 | C23 | semidirect |
| 659. C2×#392 | C23 | semidirect |
| 660. C2×#392 | C23 | semidirect |
| 661. C2×#392 | C23 | semidirect |
| 662. C2×#392 | C23 | semidirect |
| 663. C2×#392 | C23 | semidirect |
| 664. C2×#392 | C23 | semidirect |
| 665. C2×#392 | C23 | semidirect |
| 666. C2×#392 | C23 | semidirect |
| 667. C2×#392 | C23 | semidirect |
| 668. C2×#392 | C23 | semidirect |
| 669. C2×#392 | C23 | semidirect |
| 682. C2×#390 | C23 | semidirect |
| 683. C2×#390 | C23 | semidirect |
| 684. C2×#390 | C23 | semidirect |
| 685. C2×#390 | C23 | semidirect |
| 686. C2×#390 | C23 | semidirect |
| 687. C2×#390 | C23 | semidirect |
| 688. C2×#390 | C23 | semidirect |
| 689. C2×#390 | C23 | semidirect |
| 690. C2×#390 | C23 | semidirect |
| 691. C2×#390 | C23 | semidirect |
| 692. C2×#390 | C23 | semidirect |
| 693. C2×#390 | C23 | semidirect |
| 694. C2×#390 | C23 | semidirect |
| 695. C2×#390 | C23 | semidirect |
| 696. C2×#390 | C23 | semidirect |
| 697. C2×#390 | C23 | semidirect |
| 698. C2×#390 | C23 | semidirect |
| 699. C2×#390 | C23 | semidirect |
| 700. C2×#390 | C23 | semidirect |
| 701. C2×#390 | C23 | semidirect |
| 702. C2×#390 | C23 | semidirect |
| 703. C2×#390 | C23 | semidirect |
| 704. C2×#390 | C23 | semidirect |
| 705. C2×#390 | C23 | semidirect |
| 706. C2×#390 | C23 | semidirect |
| 707. C2×#390 | C23 | semidirect |
| 708. C2×#390 | C23 | semidirect |
| 709. C2×#390 | C23 | semidirect |
| 710. C2×#390 | C23 | semidirect |
| 711. C2×#388 | C23 | semidirect |
| 712. C2×#388 | C23 | semidirect |
| 713. C2×#388 | C23 | semidirect |
| 714. C2×#388 | C23 | semidirect |
| 715. C2×#388 | C23 | semidirect |
| 716. C2×#388 | C23 | semidirect |
| 717. C2×#388 | C23 | semidirect |
| 718. C2×#388 | C23 | semidirect |
| 719. C2×#388 | C23 | semidirect |
| 720. C2×#388 | C23 | semidirect |
| 721. C2×#388 | C23 | semidirect |
| 722. C2×#388 | C23 | semidirect |
| 723. C2×#388 | C23 | semidirect |
| 724. C2×#388 | C23 | semidirect |
| 725. C2×#388 | C23 | semidirect |
| 726. C2×#387 | C23 | semidirect |
| 727. C2×#387 | C23 | semidirect |
| 728. C2×#387 | C23 | semidirect |
| 763. C2×#386 | C23 | semidirect |
| 764. C2×#386 | C23 | semidirect |
| 765. C2×#386 | C23 | semidirect |
| 766. C2×#386 | C23 | semidirect |
| 767. C2×#386 | C23 | semidirect |
| 768. C2×#386 | C23 | semidirect |
| 769. C2×#386 | C23 | semidirect |
| 770. C2×#386 | C23 | semidirect |
| 771. C2×#386 | C23 | semidirect |
| 772. C2×#386 | C23 | semidirect |
| 773. C2×#386 | C23 | semidirect |
| 774. C2×#386 | C23 | semidirect |
| 775. C2×#386 | C23 | semidirect |
| 776. C2×#386 | C23 | semidirect |
| 777. C2×#386 | C23 | semidirect |
| 778. C2×#386 | C23 | semidirect |
| 779. C2×#386 | C23 | semidirect |
| 780. C2×#386 | C23 | semidirect |
| 781. C2×#386 | C23 | semidirect |
| 782. C2×#386 | C23 | semidirect |
| 783. C2×#386 | C23 | semidirect |
| 784. C2×#386 | C23 | semidirect |
| 785. C2×#386 | C23 | semidirect |
| 786. C2×#386 | C23 | semidirect |
| 787. C2×#385 | C23 | semidirect |
| 788. C2×#385 | C23 | semidirect |
| 789. C2×#385 | C23 | semidirect |
| 790. C2×#385 | C23 | semidirect |
| 791. C2×#385 | C23 | semidirect |
| 792. C2×#385 | C23 | semidirect |
| 793. C2×#385 | C23 | semidirect |
| 794. C2×#385 | C23 | semidirect |
| 795. C2×#385 | C23 | semidirect |
| 796. C2×#385 | C23 | semidirect |
| 797. C2×#385 | C23 | semidirect |
| 798. C2×#382 | C23 | semidirect |
| 799. C2×#381 | C23 | semidirect |
| 800. C2×#380 | C23 | semidirect |
| 801. C2×#380 | C23 | semidirect |
| 802. C2×#380 | C23 | semidirect |
| 803. C2×#380 | C23 | semidirect |
| 804. C2×#380 | C23 | semidirect |
| 805. C2×#380 | C23 | semidirect |
| 806. C2×#380 | C23 | semidirect |
| 815. C2×#379 | C23 | semidirect |
| 816. C2×#379 | C23 | semidirect |
| 817. C2×#379 | C23 | semidirect |
| 818. C2×#379 | C23 | semidirect |
| 819. C2×#379 | C23 | semidirect |
| 820. C2×#379 | C23 | semidirect |
| 821. C2×#379 | C23 | semidirect |
| 822. C2×#379 | C23 | semidirect |
| 823. C2×#379 | C23 | semidirect |
| 824. C2×#379 | C23 | semidirect |
| 825. C2×#379 | C23 | semidirect |
| 826. C2×#379 | C23 | semidirect |
| 827. C2×#379 | C23 | semidirect |
| 828. C2×#379 | C23 | semidirect |
| 829. C2×#379 | C23 | semidirect |
| 830. C2×#379 | C23 | semidirect |
| 831. C2×#379 | C23 | semidirect |
| 832. C2×#379 | C23 | semidirect |
| 833. C2×#379 | C23 | semidirect |
| 834. C2×#379 | C23 | semidirect |
| 835. C2×#379 | C23 | semidirect |
| 836. C2×#379 | C23 | semidirect |
| 837. C2×#379 | C23 | semidirect |
| 838. C2×#379 | C23 | semidirect |
| 839. C2×#379 | C23 | semidirect |
| 840. C2×#379 | C23 | semidirect |
| 841. C2×#379 | C23 | semidirect |
| 842. C2×#379 | C23 | semidirect |
| 843. C2×#379 | C23 | semidirect |
| 844. C2×#379 | C23 | semidirect |
| 845. C2×#379 | C23 | semidirect |
| 846. C2×#379 | C23 | semidirect |
| 847. C2×#379 | C23 | semidirect |
| 848. C2×#379 | C23 | semidirect |
| 849. C2×#379 | C23 | semidirect |
| 850. C2×#379 | C23 | semidirect |
| 851. C2×#379 | C23 | semidirect |
| 852. C2×#379 | C23 | semidirect |
| 853. C2×#379 | C23 | semidirect |
| 854. C2×#379 | C23 | semidirect |
| 855. C2×#379 | C23 | semidirect |
| 856. C2×#379 | C23 | semidirect |
| 857. C2×C4×C4⋊C4 | C23 | semidirect |
| 858. C2×C4×C4⋊C4 | C23 | semidirect |
| 859. C2×C4×C22⋊C4 | C23 | semidirect |
| 860. C2×C4×C22⋊C4 | C23 | semidirect |
| 861. C2×C4×C22⋊C4 | C23 | semidirect |
| 862. C2×C4×C22⋊C4 | C23 | semidirect |
| 863. C2×C4×C22⋊C4 | C23 | semidirect |
| 864. C2×C4×C22⋊C4 | C23 | semidirect |
| 865. C2×#376 | C23 | semidirect |
| 866. C22×#95 | C23 | semidirect |
| 867. #1445 | C23 | semidirect |
| 868. #1445 | C23 | semidirect |
| 869. #1445 | C23 | semidirect |
| 870. #1444 | C23 | semidirect |
| 871. #1444 | C23 | semidirect |
| 872. #1444 | C23 | semidirect |
| 873. #1443 | C23 | semidirect |
| 874. #1443 | C23 | semidirect |
| 875. #1443 | C23 | semidirect |
| 876. #1442 | C23 | semidirect |
| 877. #1442 | C23 | semidirect |
| 878. #1442 | C23 | semidirect |
| 879. #1442 | C23 | semidirect |
| 880. #1442 | C23 | semidirect |
| 881. #1441 | C23 | semidirect |
| 882. #1441 | C23 | semidirect |
| 883. #1441 | C23 | semidirect |
| 884. #1441 | C23 | semidirect |
| 885. #1441 | C23 | semidirect |
| 886. #1441 | C23 | semidirect |
| 887. #1441 | C23 | semidirect |
| 888. #1441 | C23 | semidirect |
| 889. #1441 | C23 | semidirect |
| 890. #1440 | C23 | semidirect |
| 891. #1440 | C23 | semidirect |
| 892. #1440 | C23 | semidirect |
| 893. #1440 | C23 | semidirect |
| 894. #1440 | C23 | semidirect |
| 895. #1440 | C23 | semidirect |
| 896. #1440 | C23 | semidirect |
| 897. #1440 | C23 | semidirect |
| 898. #1440 | C23 | semidirect |
| 899. #1440 | C23 | semidirect |
| 900. #1440 | C23 | semidirect |
| 901. #1440 | C23 | semidirect |
| 902. #1440 | C23 | semidirect |
| 903. #1440 | C23 | semidirect |
| 904. #1440 | C23 | semidirect |
| 905. #1440 | C23 | semidirect |
| 906. #1440 | C23 | semidirect |
| 907. #1440 | C23 | semidirect |
| 908. #1440 | C23 | semidirect |
| 909. #1440 | C23 | semidirect |
| 910. #1440 | C23 | semidirect |
| 911. #1440 | C23 | semidirect |
| 912. #1440 | C23 | semidirect |
| 913. #1440 | C23 | semidirect |
| 914. #1440 | C23 | semidirect |
| 915. #1440 | C23 | semidirect |
| 916. #1440 | C23 | semidirect |
| 917. #1440 | C23 | semidirect |
| 918. #1440 | C23 | semidirect |
| 919. #1440 | C23 | semidirect |
| 920. #1439 | C23 | semidirect |
| 921. #1439 | C23 | semidirect |
| 922. #1439 | C23 | semidirect |
| 923. #1439 | C23 | semidirect |
| 924. #1439 | C23 | semidirect |
| 925. #1439 | C23 | semidirect |
| 926. #1439 | C23 | semidirect |
| 927. #1439 | C23 | semidirect |
| 928. #1439 | C23 | semidirect |
| 929. #1439 | C23 | semidirect |
| 930. #1439 | C23 | semidirect |
| 931. #1439 | C23 | semidirect |
| 932. #1439 | C23 | semidirect |
| 933. #1439 | C23 | semidirect |
| 934. #1439 | C23 | semidirect |
| 935. #1439 | C23 | semidirect |
| 936. #1439 | C23 | semidirect |
| 937. #1439 | C23 | semidirect |
| 938. #1439 | C23 | semidirect |
| 939. #1439 | C23 | semidirect |
| 940. #1439 | C23 | semidirect |
| 941. #1439 | C23 | semidirect |
| 942. #1439 | C23 | semidirect |
| 943. #1439 | C23 | semidirect |
| 944. #1439 | C23 | semidirect |
| 945. #1439 | C23 | semidirect |
| 946. #1439 | C23 | semidirect |
| 947. #1439 | C23 | semidirect |
| 948. #1439 | C23 | semidirect |
| 949. #1439 | C23 | semidirect |
| 950. #1439 | C23 | semidirect |
| 951. #1439 | C23 | semidirect |
| 952. #1439 | C23 | semidirect |
| 953. #1439 | C23 | semidirect |
| 954. #1439 | C23 | semidirect |
| 955. #1439 | C23 | semidirect |
| 956. #1439 | C23 | semidirect |
| 957. #1439 | C23 | semidirect |
| 958. #1439 | C23 | semidirect |
| 959. #1439 | C23 | semidirect |
| 960. #1439 | C23 | semidirect |
| 961. #1439 | C23 | semidirect |
| 962. #1439 | C23 | semidirect |
| 963. #1439 | C23 | semidirect |
| 964. #1439 | C23 | semidirect |
| 965. #1439 | C23 | semidirect |
| 966. #1439 | C23 | semidirect |
| 967. #1439 | C23 | semidirect |
| 968. #1439 | C23 | semidirect |
| 969. #1439 | C23 | semidirect |
| 970. #1439 | C23 | semidirect |
| 971. #1439 | C23 | semidirect |
| 972. #1439 | C23 | semidirect |
| 973. #1439 | C23 | semidirect |
| 974. #1439 | C23 | semidirect |
| 975. #1439 | C23 | semidirect |
| 976. #1439 | C23 | semidirect |
| 977. #1439 | C23 | semidirect |
| 978. #1439 | C23 | semidirect |
| 979. #1439 | C23 | semidirect |
| 980. #1439 | C23 | semidirect |
| 981. #1439 | C23 | semidirect |
| 982. #1439 | C23 | semidirect |
| 983. #1439 | C23 | semidirect |
| 984. #1439 | C23 | semidirect |
| 1000. #1438 | C23 | semidirect |
| 1001. #1438 | C23 | semidirect |
| 1002. #1438 | C23 | semidirect |
| 1003. #1438 | C23 | semidirect |
| 1004. #1438 | C23 | semidirect |
| 1005. #1438 | C23 | semidirect |
| 1006. #1438 | C23 | semidirect |
| 1007. #1438 | C23 | semidirect |
| 1008. #1438 | C23 | semidirect |
| 1009. #1438 | C23 | semidirect |
| 1010. #1438 | C23 | semidirect |
| 1011. #1438 | C23 | semidirect |
| 1012. #1438 | C23 | semidirect |
| 1013. #1438 | C23 | semidirect |
| 1014. #1438 | C23 | semidirect |
| 1015. #1438 | C23 | semidirect |
| 1016. #1438 | C23 | semidirect |
| 1017. #1438 | C23 | semidirect |
| 1018. #1438 | C23 | semidirect |
| 1019. #1438 | C23 | semidirect |
| 1020. #1438 | C23 | semidirect |
| 1021. #1438 | C23 | semidirect |
| 1022. #1438 | C23 | semidirect |
| 1023. #1438 | C23 | semidirect |
| 1024. #1438 | C23 | semidirect |
| 1025. #1438 | C23 | semidirect |
| 1026. #1438 | C23 | semidirect |
| 1027. #1438 | C23 | semidirect |
| 1028. #1438 | C23 | semidirect |
| 1029. #1438 | C23 | semidirect |
| 1030. #1438 | C23 | semidirect |
| 1031. #1438 | C23 | semidirect |
| 1032. #1438 | C23 | semidirect |
| 1033. #1438 | C23 | semidirect |
| 1034. #1438 | C23 | semidirect |
| 1035. #1438 | C23 | semidirect |
| 1036. #1438 | C23 | semidirect |
| 1037. #1438 | C23 | semidirect |
| 1038. #1438 | C23 | semidirect |
| 1039. #1438 | C23 | semidirect |
| 1040. #1438 | C23 | semidirect |
| 1041. #1438 | C23 | semidirect |
| 1042. #1438 | C23 | semidirect |
| 1043. #1438 | C23 | semidirect |
| 1044. #1438 | C23 | semidirect |
| 1045. #1438 | C23 | semidirect |
| 1046. #1438 | C23 | semidirect |
| 1047. #1438 | C23 | semidirect |
| 1048. #1438 | C23 | semidirect |
| 1049. #1438 | C23 | semidirect |
| 1050. #1438 | C23 | semidirect |
| 1051. #1438 | C23 | semidirect |
| 1052. #1438 | C23 | semidirect |
| 1053. #1438 | C23 | semidirect |
| 1054. #1438 | C23 | semidirect |
| 1055. #1438 | C23 | semidirect |
| 1056. #1438 | C23 | semidirect |
| 1057. #1438 | C23 | semidirect |
| 1058. #1438 | C23 | semidirect |
| 1059. #1438 | C23 | semidirect |
| 1060. #1438 | C23 | semidirect |
| 1061. #1438 | C23 | semidirect |
| 1062. #1438 | C23 | semidirect |
| 1063. #1438 | C23 | semidirect |
| 1064. #1438 | C23 | semidirect |
| 1065. #1438 | C23 | semidirect |
| 1066. #1438 | C23 | semidirect |
| 1067. #1438 | C23 | semidirect |
| 1068. #1438 | C23 | semidirect |
| 1069. #1438 | C23 | semidirect |
| 1070. #1438 | C23 | semidirect |
| 1071. #1438 | C23 | semidirect |
| 1072. #1438 | C23 | semidirect |
| 1073. #1438 | C23 | semidirect |
| 1074. #1438 | C23 | semidirect |
| 1075. #1438 | C23 | semidirect |
| 1076. #1438 | C23 | semidirect |
| 1077. #1438 | C23 | semidirect |
| 1078. #1438 | C23 | semidirect |
| 1079. #1438 | C23 | semidirect |
| 1080. #1437 | C23 | semidirect |
| 1081. #1437 | C23 | semidirect |
| 1082. #1437 | C23 | semidirect |
| 1083. #1437 | C23 | semidirect |
| 1084. #1437 | C23 | semidirect |
| 1085. #1437 | C23 | semidirect |
| 1086. #1437 | C23 | semidirect |
| 1087. #1437 | C23 | semidirect |
| 1088. #1437 | C23 | semidirect |
| 1089. #1437 | C23 | semidirect |
| 1090. #1437 | C23 | semidirect |
| 1091. #1437 | C23 | semidirect |
| 1092. #1437 | C23 | semidirect |
| 1093. #1437 | C23 | semidirect |
| 1094. #1437 | C23 | semidirect |
| 1095. #1437 | C23 | semidirect |
| 1096. #1437 | C23 | semidirect |
| 1097. #1437 | C23 | semidirect |
| 1098. #1437 | C23 | semidirect |
| 1099. #1437 | C23 | semidirect |
| 1100. #1437 | C23 | semidirect |
| 1101. #1437 | C23 | semidirect |
| 1102. #1437 | C23 | semidirect |
| 1103. #1437 | C23 | semidirect |
| 1104. #1436 | C23 | semidirect |
| 1105. #1436 | C23 | semidirect |
| 1106. #1436 | C23 | semidirect |
| 1107. #1436 | C23 | semidirect |
| 1108. #1436 | C23 | semidirect |
| 1109. #1436 | C23 | semidirect |
| 1110. #1436 | C23 | semidirect |
| 1111. #1436 | C23 | semidirect |
| 1112. C4⋊#95 | C23 | semidirect |
| 1113. C4⋊#95 | C23 | semidirect |
| 1114. C4⋊#95 | C23 | semidirect |
| 1115. C4⋊#95 | C23 | semidirect |
| 1116. #1434 | C23 | semidirect |
| 1117. #1434 | C23 | semidirect |
| 1118. #1434 | C23 | semidirect |
| 1119. C22⋊#95 | C23 | semidirect |
| 1120. C22⋊#95 | C23 | semidirect |
| 1121. C22⋊#95 | C23 | semidirect |
| 1122. C22⋊#95 | C23 | semidirect |
| 1123. C22⋊#95 | C23 | semidirect |
| 1124. C22⋊#95 | C23 | semidirect |
| 1125. C22⋊#95 | C23 | semidirect |
| 1126. C22⋊#95 | C23 | semidirect |
| 1127. C22⋊#95 | C23 | semidirect |
| 1128. C22⋊#95 | C23 | semidirect |
| 1129. C22⋊#95 | C23 | semidirect |
| 1130. C22⋊#95 | C23 | semidirect |
| 1131. C22⋊#95 | C23 | semidirect |
| 1132. C22⋊#95 | C23 | semidirect |
| 1133. C22⋊#95 | C23 | semidirect |
| 1134. C22⋊#95 | C23 | semidirect |
| 1135. C22⋊#95 | C23 | semidirect |
| 1136. C22⋊#95 | C23 | semidirect |
| 1137. C22⋊#95 | C23 | semidirect |
| 1138. C22⋊#95 | C23 | semidirect |
| 1139. C22⋊#95 | C23 | semidirect |
| 1140. C22⋊#95 | C23 | semidirect |
| 1141. C22⋊#95 | C23 | semidirect |
| 1142. C22⋊#95 | C23 | semidirect |
| 1143. C22⋊#95 | C23 | semidirect |
| 1162. C23×D4 | C2×D4 | semidirect |
| 1231. C2×#127 | C2×D4 | semidirect |
| 1233. C2×#121 | C2×D4 | semidirect |
| 1234. C2×#121 | C2×D4 | semidirect |
| 1235. C2×#121 | C2×D4 | semidirect |
| 1239. C2×#120 | C2×D4 | semidirect |
| 1240. C2×#120 | C2×D4 | semidirect |
| 1241. C2×#120 | C2×D4 | semidirect |
| 1242. C2×#120 | C2×D4 | semidirect |
| 1243. C2×#120 | C2×D4 | semidirect |
| 1245. C2×C4×D4 | C2×D4 | semidirect |
| 1436. #394 | C2×D4 | semidirect |
| 1437. #394 | C2×D4 | semidirect |
| 1438. #394 | C2×D4 | semidirect |
| 1439. #390 | C2×D4 | semidirect |
| 1440. #390 | C2×D4 | semidirect |
| 1528. C25 | C22×D4 | semidirect |
| 1601. C2×C4⋊C4 | C22×D4 | semidirect |
| 1602. C2×C4⋊C4 | C22×D4 | semidirect |
| 1616. C2×C22⋊C4 | C22×D4 | semidirect |
| 1617. C2×C22⋊C4 | C22×D4 | semidirect |
| 1618. C2×C22⋊C4 | C22×D4 | semidirect |
| 1619. C2×C22⋊C4 | C22×D4 | semidirect |
| 1620. C2×C22⋊C4 | C22×D4 | semidirect |
| 1622. C2×C42 | C22×D4 | semidirect |
| 1623. #95 | C22×D4 | semidirect |
| 1691. C22 | #36714 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.