Order 1024.
At least 6047 conjugacy classes of subgroups; only the 3665 normal subgroups are shown.
The subgroup lattice has 1640 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×#43001 | C2 | semidirect |
| 2. C2×#37644 | C2 | semidirect |
| 3. C2×D4×#120 | C2 | semidirect |
| 4. #4341804 | C2 | semidirect |
| 5. #4341438 | C2 | semidirect |
| 6. #3860298 | C2 | semidirect |
| 7. #3859055 | C2 | semidirect |
| 8. #3071227 | C2 | semidirect |
| 9. #2814346 | C2 | semidirect |
| 10. #2805623 | C2 | semidirect |
| 11. #2111027 | C2 | semidirect |
| 12. #2109329 | C2 | semidirect |
| 13. #2108769 | C2 | semidirect |
| 14. #2078547 | C2 | semidirect |
| 15. #2033443 | C2 | semidirect |
| 16. #2031997 | C2 | semidirect |
| 17. #1420395 | C2 | semidirect |
| 18. #1419217 | C2 | semidirect |
| 19. #1295673 | C2 | semidirect |
| 20. #1260050 | C2 | semidirect |
| 21. #1259377 | C2 | semidirect |
| 22. #1258721 | C2 | semidirect |
| 23. #1258513 | C2 | semidirect |
| 24. #1084997 | C2 | semidirect |
| 25. #1083597 | C2 | semidirect |
| 26. #1082737 | C2 | semidirect |
| 27. #1082737 | C2 | semidirect |
| 28. #849952 | C2 | semidirect |
| 29. #845341 | C2 | semidirect |
| 30. #845309 | C2 | semidirect |
| 31. #687944 | C2 | semidirect |
| 32. #686200 | C2 | semidirect |
| 33. #612424 | C2 | semidirect |
| 34. #554822 | C2 | semidirect |
| 35. #539101 | C2 | semidirect |
| 36. C25×D4 | C22 | semidirect |
| 38. C22×D42 | C22 | semidirect |
| 39. C22×D42 | C22 | semidirect |
| 40. C22×#534 | C22 | semidirect |
| 41. C22×#534 | C22 | semidirect |
| 42. C23×#120 | C22 | semidirect |
| 43. C23×#120 | C22 | semidirect |
| 45. C2×#2679 | C22 | semidirect |
| 46. C2×#2678 | C22 | semidirect |
| 47. C2×#2678 | C22 | semidirect |
| 48. C2×#2678 | C22 | semidirect |
| 49. C2×#2678 | C22 | semidirect |
| 50. C2×#2673 | C22 | semidirect |
| 51. C2×#2673 | C22 | semidirect |
| 52. C2×#2669 | C22 | semidirect |
| 53. C2×#2669 | C22 | semidirect |
| 54. C2×#2669 | C22 | semidirect |
| 55. C2×#2669 | C22 | semidirect |
| 56. C2×#2669 | C22 | semidirect |
| 57. C2×#2668 | C22 | semidirect |
| 58. C2×#2668 | C22 | semidirect |
| 59. C2×#2847 | C22 | semidirect |
| 60. C2×#2846 | C22 | semidirect |
| 61. C2×#2846 | C22 | semidirect |
| 62. C2×#2846 | C22 | semidirect |
| 63. C2×#2539 | C22 | semidirect |
| 64. C2×#2543 | C22 | semidirect |
| 65. C2×#2534 | C22 | semidirect |
| 66. C2×#2464 | C22 | semidirect |
| 67. C2×#2433 | C22 | semidirect |
| 68. C2×#2433 | C22 | semidirect |
| 69. C2×#2433 | C22 | semidirect |
| 70. C2×#2433 | C22 | semidirect |
| 72. C2×#2408 | C22 | semidirect |
| 73. C2×#2408 | C22 | semidirect |
| 74. C2×#2408 | C22 | semidirect |
| 75. C2×#2408 | C22 | semidirect |
| 76. C2×#2412 | C22 | semidirect |
| 77. C2×#2405 | C22 | semidirect |
| 78. C2×#2405 | C22 | semidirect |
| 79. C2×#2456 | C22 | semidirect |
| 80. C2×#2424 | C22 | semidirect |
| 81. C2×#2424 | C22 | semidirect |
| 82. C2×#2424 | C22 | semidirect |
| 83. C2×#2424 | C22 | semidirect |
| 84. C2×#2418 | C22 | semidirect |
| 85. C2×#2418 | C22 | semidirect |
| 86. C2×#2410 | C22 | semidirect |
| 87. C2×#2410 | C22 | semidirect |
| 88. C2×#2410 | C22 | semidirect |
| 89. C2×#2410 | C22 | semidirect |
| 90. C2×#2410 | C22 | semidirect |
| 92. C2×#2403 | C22 | semidirect |
| 93. C2×#2403 | C22 | semidirect |
| 94. C2×#2403 | C22 | semidirect |
| 95. C2×#2403 | C22 | semidirect |
| 96. C2×#2403 | C22 | semidirect |
| 97. C2×#2403 | C22 | semidirect |
| 98. C2×#2403 | C22 | semidirect |
| 99. C2×#2403 | C22 | semidirect |
| 100. C2×#2403 | C22 | semidirect |
| 101. C2×#2403 | C22 | semidirect |
| 102. C2×#2403 | C22 | semidirect |
| 103. C2×#2403 | C22 | semidirect |
| 104. C2×#2617 | C22 | semidirect |
| 105. C2×#2613 | C22 | semidirect |
| 106. C2×#2613 | C22 | semidirect |
| 107. C22×#392 | C22 | semidirect |
| 108. C2×#2366 | C22 | semidirect |
| 109. C2×#2364 | C22 | semidirect |
| 110. C2×D4×C22⋊C4 | C22 | semidirect |
| 111. C2×D4×C22⋊C4 | C22 | semidirect |
| 112. C2×D4×C22⋊C4 | C22 | semidirect |
| 113. C2×#2328 | C22 | semidirect |
| 114. C2×#2321 | C22 | semidirect |
| 115. C2×#2321 | C22 | semidirect |
| 116. C2×C4×#120 | C22 | semidirect |
| 117. #17102 | C22 | semidirect |
| 118. #17086 | C22 | semidirect |
| 119. #17068 | C22 | semidirect |
| 120. #17068 | C22 | semidirect |
| 121. #17015 | C22 | semidirect |
| 122. #17015 | C22 | semidirect |
| 123. #16816 | C22 | semidirect |
| 124. #16807 | C22 | semidirect |
| 125. #16562 | C22 | semidirect |
| 126. #16516 | C22 | semidirect |
| 127. #16512 | C22 | semidirect |
| 128. #16512 | C22 | semidirect |
| 129. #16508 | C22 | semidirect |
| 130. #16462 | C22 | semidirect |
| 131. #16391 | C22 | semidirect |
| 132. #16391 | C22 | semidirect |
| 133. #16341 | C22 | semidirect |
| 134. #16338 | C22 | semidirect |
| 135. #16323 | C22 | semidirect |
| 136. #16298 | C22 | semidirect |
| 137. #16288 | C22 | semidirect |
| 138. #16288 | C22 | semidirect |
| 139. #16284 | C22 | semidirect |
| 140. #16284 | C22 | semidirect |
| 141. #16284 | C22 | semidirect |
| 142. #16284 | C22 | semidirect |
| 143. #16282 | C22 | semidirect |
| 144. #16260 | C22 | semidirect |
| 145. #16255 | C22 | semidirect |
| 146. #16255 | C22 | semidirect |
| 147. #16255 | C22 | semidirect |
| 148. #16252 | C22 | semidirect |
| 149. #16252 | C22 | semidirect |
| 150. #16250 | C22 | semidirect |
| 151. #16250 | C22 | semidirect |
| 152. #16249 | C22 | semidirect |
| 153. #16249 | C22 | semidirect |
| 154. #16249 | C22 | semidirect |
| 155. #16249 | C22 | semidirect |
| 156. #16249 | C22 | semidirect |
| 157. #16249 | C22 | semidirect |
| 158. #16249 | C22 | semidirect |
| 159. #16249 | C22 | semidirect |
| 160. #16249 | C22 | semidirect |
| 161. #16249 | C22 | semidirect |
| 162. #16249 | C22 | semidirect |
| 163. #16249 | C22 | semidirect |
| 164. #16249 | C22 | semidirect |
| 165. #15966 | C22 | semidirect |
| 166. #15954 | C22 | semidirect |
| 167. #15948 | C22 | semidirect |
| 168. #15948 | C22 | semidirect |
| 169. #15948 | C22 | semidirect |
| 170. #15948 | C22 | semidirect |
| 171. #15948 | C22 | semidirect |
| 172. #15655 | C22 | semidirect |
| 173. #15655 | C22 | semidirect |
| 174. #15590 | C22 | semidirect |
| 175. #15498 | C22 | semidirect |
| 176. #15494 | C22 | semidirect |
| 177. #15480 | C22 | semidirect |
| 178. #15471 | C22 | semidirect |
| 179. #15456 | C22 | semidirect |
| 180. #15432 | C22 | semidirect |
| 181. #15418 | C22 | semidirect |
| 182. #15416 | C22 | semidirect |
| 183. #15412 | C22 | semidirect |
| 184. #15412 | C22 | semidirect |
| 185. #15412 | C22 | semidirect |
| 186. #15412 | C22 | semidirect |
| 187. #15412 | C22 | semidirect |
| 188. #15386 | C22 | semidirect |
| 189. #15380 | C22 | semidirect |
| 190. #15379 | C22 | semidirect |
| 191. #15376 | C22 | semidirect |
| 192. #15375 | C22 | semidirect |
| 193. #15375 | C22 | semidirect |
| 194. #15375 | C22 | semidirect |
| 195. #15369 | C22 | semidirect |
| 196. #15369 | C22 | semidirect |
| 197. #15368 | C22 | semidirect |
| 198. #15368 | C22 | semidirect |
| 199. #15368 | C22 | semidirect |
| 200. #15368 | C22 | semidirect |
| 201. #15368 | C22 | semidirect |
| 202. #15338 | C22 | semidirect |
| 203. #15320 | C22 | semidirect |
| 204. #15315 | C22 | semidirect |
| 205. #15315 | C22 | semidirect |
| 206. #15313 | C22 | semidirect |
| 207. #15312 | C22 | semidirect |
| 208. #15312 | C22 | semidirect |
| 209. #15310 | C22 | semidirect |
| 210. #15310 | C22 | semidirect |
| 211. #15310 | C22 | semidirect |
| 212. #15310 | C22 | semidirect |
| 213. #15310 | C22 | semidirect |
| 214. #15297 | C22 | semidirect |
| 215. #15295 | C22 | semidirect |
| 216. #15284 | C22 | semidirect |
| 217. #15282 | C22 | semidirect |
| 218. #15281 | C22 | semidirect |
| 219. #15278 | C22 | semidirect |
| 220. #15278 | C22 | semidirect |
| 221. #15278 | C22 | semidirect |
| 222. #15273 | C22 | semidirect |
| 223. #15273 | C22 | semidirect |
| 224. #15273 | C22 | semidirect |
| 225. #15273 | C22 | semidirect |
| 226. #15273 | C22 | semidirect |
| 227. #15272 | C22 | semidirect |
| 228. #15270 | C22 | semidirect |
| 229. #15270 | C22 | semidirect |
| 230. #15270 | C22 | semidirect |
| 231. #15270 | C22 | semidirect |
| 232. #15268 | C22 | semidirect |
| 233. #15268 | C22 | semidirect |
| 234. #15268 | C22 | semidirect |
| 235. #15268 | C22 | semidirect |
| 236. #15268 | C22 | semidirect |
| 237. #15268 | C22 | semidirect |
| 238. #15267 | C22 | semidirect |
| 239. #15267 | C22 | semidirect |
| 240. #15267 | C22 | semidirect |
| 241. #15267 | C22 | semidirect |
| 242. #15267 | C22 | semidirect |
| 243. #15267 | C22 | semidirect |
| 244. #15267 | C22 | semidirect |
| 245. #15267 | C22 | semidirect |
| 246. #15266 | C22 | semidirect |
| 247. #15266 | C22 | semidirect |
| 248. #15266 | C22 | semidirect |
| 249. #15266 | C22 | semidirect |
| 250. #15263 | C22 | semidirect |
| 251. #15263 | C22 | semidirect |
| 252. #15263 | C22 | semidirect |
| 253. #15258 | C22 | semidirect |
| 254. #15258 | C22 | semidirect |
| 255. #15257 | C22 | semidirect |
| 256. #15257 | C22 | semidirect |
| 257. #15257 | C22 | semidirect |
| 258. #15257 | C22 | semidirect |
| 259. #15257 | C22 | semidirect |
| 260. #15257 | C22 | semidirect |
| 261. #15257 | C22 | semidirect |
| 262. #15257 | C22 | semidirect |
| 263. #15245 | C22 | semidirect |
| 264. #15162 | C22 | semidirect |
| 265. #15159 | C22 | semidirect |
| 266. #14996 | C22 | semidirect |
| 267. #14926 | C22 | semidirect |
| 268. #14922 | C22 | semidirect |
| 269. #14911 | C22 | semidirect |
| 270. #14900 | C22 | semidirect |
| 271. #14815 | C22 | semidirect |
| 272. #14815 | C22 | semidirect |
| 273. #14811 | C22 | semidirect |
| 274. #14762 | C22 | semidirect |
| 275. #14750 | C22 | semidirect |
| 276. #14749 | C22 | semidirect |
| 277. #14732 | C22 | semidirect |
| 278. #14732 | C22 | semidirect |
| 279. #14732 | C22 | semidirect |
| 280. #14730 | C22 | semidirect |
| 281. #14730 | C22 | semidirect |
| 282. #14727 | C22 | semidirect |
| 283. #14726 | C22 | semidirect |
| 284. #14725 | C22 | semidirect |
| 285. #14725 | C22 | semidirect |
| 286. #14724 | C22 | semidirect |
| 287. #14722 | C22 | semidirect |
| 288. #14722 | C22 | semidirect |
| 289. #14722 | C22 | semidirect |
| 290. #14721 | C22 | semidirect |
| 291. #14721 | C22 | semidirect |
| 292. #14721 | C22 | semidirect |
| 293. #14721 | C22 | semidirect |
| 294. #14718 | C22 | semidirect |
| 295. #14716 | C22 | semidirect |
| 296. #14716 | C22 | semidirect |
| 297. #14716 | C22 | semidirect |
| 298. #14715 | C22 | semidirect |
| 299. #14715 | C22 | semidirect |
| 300. #14715 | C22 | semidirect |
| 301. #14715 | C22 | semidirect |
| 302. #14715 | C22 | semidirect |
| 303. #14715 | C22 | semidirect |
| 304. #14715 | C22 | semidirect |
| 305. #14715 | C22 | semidirect |
| 306. #14715 | C22 | semidirect |
| 307. #14715 | C22 | semidirect |
| 308. #14715 | C22 | semidirect |
| 309. #14715 | C22 | semidirect |
| 310. #14715 | C22 | semidirect |
| 311. #14715 | C22 | semidirect |
| 312. #14715 | C22 | semidirect |
| 313. #14715 | C22 | semidirect |
| 314. #14715 | C22 | semidirect |
| 315. #14715 | C22 | semidirect |
| 316. #14715 | C22 | semidirect |
| 317. #14715 | C22 | semidirect |
| 318. #14694 | C22 | semidirect |
| 319. #14694 | C22 | semidirect |
| 320. #14679 | C22 | semidirect |
| 321. #14571 | C22 | semidirect |
| 322. #14536 | C22 | semidirect |
| 323. #14534 | C22 | semidirect |
| 324. #14533 | C22 | semidirect |
| 325. #14527 | C22 | semidirect |
| 326. #14517 | C22 | semidirect |
| 327. #14486 | C22 | semidirect |
| 328. #14429 | C22 | semidirect |
| 329. #14417 | C22 | semidirect |
| 330. #14417 | C22 | semidirect |
| 331. #14417 | C22 | semidirect |
| 332. #14407 | C22 | semidirect |
| 333. #14401 | C22 | semidirect |
| 334. #14363 | C22 | semidirect |
| 335. #14363 | C22 | semidirect |
| 336. #14358 | C22 | semidirect |
| 337. #14358 | C22 | semidirect |
| 338. #14357 | C22 | semidirect |
| 339. #14357 | C22 | semidirect |
| 340. #14357 | C22 | semidirect |
| 341. #14357 | C22 | semidirect |
| 342. #14357 | C22 | semidirect |
| 343. #14357 | C22 | semidirect |
| 344. #14357 | C22 | semidirect |
| 345. #14357 | C22 | semidirect |
| 346. #14357 | C22 | semidirect |
| 347. #14357 | C22 | semidirect |
| 348. #14311 | C22 | semidirect |
| 349. #14303 | C22 | semidirect |
| 350. #14201 | C22 | semidirect |
| 351. #14201 | C22 | semidirect |
| 352. #14187 | C22 | semidirect |
| 353. #14173 | C22 | semidirect |
| 354. #14134 | C22 | semidirect |
| 355. #14082 | C22 | semidirect |
| 356. #13995 | C22 | semidirect |
| 357. #13971 | C22 | semidirect |
| 358. #13971 | C22 | semidirect |
| 359. #13970 | C22 | semidirect |
| 360. #13970 | C22 | semidirect |
| 361. #13968 | C22 | semidirect |
| 362. #13967 | C22 | semidirect |
| 363. #13967 | C22 | semidirect |
| 364. #13967 | C22 | semidirect |
| 365. #13941 | C22 | semidirect |
| 366. #13905 | C22 | semidirect |
| 367. #13902 | C22 | semidirect |
| 368. #13873 | C22 | semidirect |
| 369. #13867 | C22 | semidirect |
| 370. #13867 | C22 | semidirect |
| 371. #13867 | C22 | semidirect |
| 372. #13867 | C22 | semidirect |
| 373. #13867 | C22 | semidirect |
| 374. #13867 | C22 | semidirect |
| 375. #13867 | C22 | semidirect |
| 376. #13867 | C22 | semidirect |
| 377. #13847 | C22 | semidirect |
| 378. #13785 | C22 | semidirect |
| 394. C24×D4 | C23 | semidirect |
| 395. C24×D4 | C23 | semidirect |
| 397. C2×D42 | D4 | semidirect |
| 401. C22×#127 | C23 | semidirect |
| 403. C22×#123 | C23 | semidirect |
| 404. C22×#123 | C23 | semidirect |
| 405. C22×#123 | C23 | semidirect |
| 406. C22×#123 | C23 | semidirect |
| 407. C22×#123 | C23 | semidirect |
| 408. C22×#123 | C23 | semidirect |
| 409. C22×#123 | C23 | semidirect |
| 422. C22×#121 | C23 | semidirect |
| 423. C22×#121 | C23 | semidirect |
| 424. C22×#121 | C23 | semidirect |
| 425. C22×#121 | C23 | semidirect |
| 426. C22×#121 | C23 | semidirect |
| 427. C22×#121 | C23 | semidirect |
| 428. C22×#121 | C23 | semidirect |
| 429. C22×#121 | C23 | semidirect |
| 430. C22×#121 | C23 | semidirect |
| 474. C22×#120 | C23 | semidirect |
| 475. C22×#120 | C23 | semidirect |
| 476. C22×#120 | C23 | semidirect |
| 477. C22×#120 | C23 | semidirect |
| 478. C22×#120 | C23 | semidirect |
| 479. C22×#120 | C23 | semidirect |
| 480. C22×#120 | C23 | semidirect |
| 485. C22×C4×D4 | C23 | semidirect |
| 486. C22×C4×D4 | C23 | semidirect |
| 487. C22×C4×D4 | C23 | semidirect |
| 488. C22×C4×D4 | C23 | semidirect |
| 489. C22×C4×D4 | C23 | semidirect |
| 496. C23×C22⋊C4 | C23 | semidirect |
| 497. C23×C22⋊C4 | C23 | semidirect |
| 498. C23×C22⋊C4 | C23 | semidirect |
| 499. #2679 | D4 | semidirect |
| 501. C2×#399 | C23 | semidirect |
| 502. C2×#398 | C23 | semidirect |
| 508. C2×#397 | C23 | semidirect |
| 510. C2×#396 | C23 | semidirect |
| 511. C2×#396 | C23 | semidirect |
| 512. C2×#396 | C23 | semidirect |
| 513. C2×#396 | C23 | semidirect |
| 514. C2×#396 | C23 | semidirect |
| 533. C2×#394 | C23 | semidirect |
| 534. C2×#394 | C23 | semidirect |
| 535. C2×#394 | C23 | semidirect |
| 536. C2×#394 | C23 | semidirect |
| 537. C2×#394 | C23 | semidirect |
| 538. C2×#394 | C23 | semidirect |
| 539. C2×#394 | C23 | semidirect |
| 540. C2×#394 | C23 | semidirect |
| 541. C2×#394 | C23 | semidirect |
| 542. C2×#394 | C23 | semidirect |
| 543. C2×#394 | C23 | semidirect |
| 544. C2×#394 | C23 | semidirect |
| 545. C2×#394 | C23 | semidirect |
| 546. C2×#394 | C23 | semidirect |
| 547. C2×#394 | C23 | semidirect |
| 548. C2×#394 | C23 | semidirect |
| 549. C2×#394 | C23 | semidirect |
| 550. C2×#394 | C23 | semidirect |
| 551. C2×#394 | C23 | semidirect |
| 552. C2×#394 | C23 | semidirect |
| 553. C2×#394 | C23 | semidirect |
| 554. C2×#394 | C23 | semidirect |
| 555. C2×#394 | C23 | semidirect |
| 556. C2×#394 | C23 | semidirect |
| 603. C2×#392 | C23 | semidirect |
| 604. C2×#392 | C23 | semidirect |
| 605. C2×#392 | C23 | semidirect |
| 606. C2×#392 | C23 | semidirect |
| 607. C2×#392 | C23 | semidirect |
| 608. C2×#392 | C23 | semidirect |
| 609. C2×#392 | C23 | semidirect |
| 610. C2×#392 | C23 | semidirect |
| 611. C2×#392 | C23 | semidirect |
| 612. C2×#392 | C23 | semidirect |
| 613. C2×#392 | C23 | semidirect |
| 614. C2×#392 | C23 | semidirect |
| 615. C2×#392 | C23 | semidirect |
| 616. C2×#392 | C23 | semidirect |
| 617. C2×#392 | C23 | semidirect |
| 618. C2×#392 | C23 | semidirect |
| 619. C2×#392 | C23 | semidirect |
| 620. C2×#392 | C23 | semidirect |
| 621. C2×#392 | C23 | semidirect |
| 622. C2×#392 | C23 | semidirect |
| 623. C2×#392 | C23 | semidirect |
| 624. C2×#392 | C23 | semidirect |
| 625. C2×#392 | C23 | semidirect |
| 626. C2×#392 | C23 | semidirect |
| 627. C2×#392 | C23 | semidirect |
| 628. C2×#392 | C23 | semidirect |
| 629. C2×#392 | C23 | semidirect |
| 630. C2×#392 | C23 | semidirect |
| 631. C2×#392 | C23 | semidirect |
| 632. C2×#392 | C23 | semidirect |
| 643. C2×#390 | C23 | semidirect |
| 644. C2×#390 | C23 | semidirect |
| 645. C2×#390 | C23 | semidirect |
| 646. C2×#390 | C23 | semidirect |
| 647. C2×#390 | C23 | semidirect |
| 648. C2×#390 | C23 | semidirect |
| 649. C2×#390 | C23 | semidirect |
| 650. C2×#390 | C23 | semidirect |
| 651. C2×#390 | C23 | semidirect |
| 652. C2×#390 | C23 | semidirect |
| 653. C2×#390 | C23 | semidirect |
| 659. C2×#388 | C23 | semidirect |
| 660. C2×#388 | C23 | semidirect |
| 661. C2×#388 | C23 | semidirect |
| 662. C2×#388 | C23 | semidirect |
| 663. C2×#388 | C23 | semidirect |
| 664. C2×#388 | C23 | semidirect |
| 665. C2×#388 | C23 | semidirect |
| 666. C2×#388 | C23 | semidirect |
| 667. C2×#388 | C23 | semidirect |
| 668. C2×#388 | C23 | semidirect |
| 669. C2×#388 | C23 | semidirect |
| 670. C2×#387 | C23 | semidirect |
| 671. C2×#387 | C23 | semidirect |
| 715. C2×#386 | C23 | semidirect |
| 716. C2×#386 | C23 | semidirect |
| 717. C2×#386 | C23 | semidirect |
| 718. C2×#386 | C23 | semidirect |
| 719. C2×#386 | C23 | semidirect |
| 720. C2×#386 | C23 | semidirect |
| 721. C2×#386 | C23 | semidirect |
| 722. C2×#386 | C23 | semidirect |
| 723. C2×#386 | C23 | semidirect |
| 724. C2×#386 | C23 | semidirect |
| 725. C2×#386 | C23 | semidirect |
| 726. C2×#386 | C23 | semidirect |
| 727. C2×#386 | C23 | semidirect |
| 728. C2×#386 | C23 | semidirect |
| 729. C2×#386 | C23 | semidirect |
| 730. C2×#386 | C23 | semidirect |
| 731. C2×#386 | C23 | semidirect |
| 732. C2×#386 | C23 | semidirect |
| 733. C2×#386 | C23 | semidirect |
| 734. C2×#386 | C23 | semidirect |
| 735. C2×#386 | C23 | semidirect |
| 736. C2×#386 | C23 | semidirect |
| 737. C2×#386 | C23 | semidirect |
| 738. C2×#386 | C23 | semidirect |
| 739. C2×#386 | C23 | semidirect |
| 740. C2×#386 | C23 | semidirect |
| 741. C2×#386 | C23 | semidirect |
| 742. C2×#386 | C23 | semidirect |
| 743. C2×#386 | C23 | semidirect |
| 744. C2×#386 | C23 | semidirect |
| 745. C2×#386 | C23 | semidirect |
| 746. C2×#386 | C23 | semidirect |
| 747. C2×#386 | C23 | semidirect |
| 748. C2×#386 | C23 | semidirect |
| 749. C2×#386 | C23 | semidirect |
| 752. C2×#385 | C23 | semidirect |
| 753. C2×#385 | C23 | semidirect |
| 754. C2×#385 | C23 | semidirect |
| 755. C2×#385 | C23 | semidirect |
| 756. C2×#385 | C23 | semidirect |
| 757. C2×#385 | C23 | semidirect |
| 758. C2×#385 | C23 | semidirect |
| 759. C2×#385 | C23 | semidirect |
| 760. C2×#382 | C23 | semidirect |
| 761. C2×#381 | C23 | semidirect |
| 762. C2×#381 | C23 | semidirect |
| 765. C2×#380 | C23 | semidirect |
| 766. C2×#380 | C23 | semidirect |
| 767. C2×#380 | C23 | semidirect |
| 768. C2×#380 | C23 | semidirect |
| 769. C2×#380 | C23 | semidirect |
| 803. C2×#379 | C23 | semidirect |
| 804. C2×#379 | C23 | semidirect |
| 805. C2×#379 | C23 | semidirect |
| 806. C2×#379 | C23 | semidirect |
| 807. C2×#379 | C23 | semidirect |
| 808. C2×#379 | C23 | semidirect |
| 809. C2×#379 | C23 | semidirect |
| 810. C2×#379 | C23 | semidirect |
| 811. C2×#379 | C23 | semidirect |
| 812. C2×C4×C4⋊C4 | C23 | semidirect |
| 813. C2×C4×C4⋊C4 | C23 | semidirect |
| 816. C2×C4×C22⋊C4 | C23 | semidirect |
| 817. C2×C4×C22⋊C4 | C23 | semidirect |
| 818. C2×C4×C22⋊C4 | C23 | semidirect |
| 819. C2×C4×C22⋊C4 | C23 | semidirect |
| 820. C2×#376 | C23 | semidirect |
| 821. C22×#95 | C23 | semidirect |
| 822. #1445 | C23 | semidirect |
| 823. #1445 | C23 | semidirect |
| 824. #1445 | C23 | semidirect |
| 825. #1445 | C23 | semidirect |
| 826. #1445 | C23 | semidirect |
| 827. #1445 | C23 | semidirect |
| 828. #1444 | C23 | semidirect |
| 829. #1444 | C23 | semidirect |
| 830. #1444 | C23 | semidirect |
| 831. #1444 | C23 | semidirect |
| 832. #1443 | C23 | semidirect |
| 833. #1443 | C23 | semidirect |
| 834. #1443 | C23 | semidirect |
| 835. #1443 | C23 | semidirect |
| 836. #1443 | C23 | semidirect |
| 837. #1442 | C23 | semidirect |
| 838. #1442 | C23 | semidirect |
| 839. #1442 | C23 | semidirect |
| 840. #1442 | C23 | semidirect |
| 841. #1442 | C23 | semidirect |
| 842. #1442 | C23 | semidirect |
| 843. #1442 | C23 | semidirect |
| 844. #1442 | C23 | semidirect |
| 845. #1441 | C23 | semidirect |
| 846. #1441 | C23 | semidirect |
| 847. #1441 | C23 | semidirect |
| 848. #1441 | C23 | semidirect |
| 849. #1441 | C23 | semidirect |
| 850. #1441 | C23 | semidirect |
| 851. #1441 | C23 | semidirect |
| 861. #1440 | C23 | semidirect |
| 862. #1440 | C23 | semidirect |
| 863. #1440 | C23 | semidirect |
| 864. #1440 | C23 | semidirect |
| 865. #1440 | C23 | semidirect |
| 866. #1440 | C23 | semidirect |
| 867. #1440 | C23 | semidirect |
| 868. #1440 | C23 | semidirect |
| 869. #1440 | C23 | semidirect |
| 870. #1440 | C23 | semidirect |
| 871. #1440 | C23 | semidirect |
| 872. #1440 | C23 | semidirect |
| 873. #1440 | C23 | semidirect |
| 874. #1440 | C23 | semidirect |
| 875. #1440 | C23 | semidirect |
| 876. #1440 | C23 | semidirect |
| 877. #1440 | C23 | semidirect |
| 878. #1440 | C23 | semidirect |
| 879. #1440 | C23 | semidirect |
| 880. #1440 | C23 | semidirect |
| 881. #1440 | C23 | semidirect |
| 882. #1440 | C23 | semidirect |
| 883. #1440 | C23 | semidirect |
| 884. #1440 | C23 | semidirect |
| 885. #1440 | C23 | semidirect |
| 886. #1440 | C23 | semidirect |
| 898. #1439 | C23 | semidirect |
| 899. #1439 | C23 | semidirect |
| 900. #1439 | C23 | semidirect |
| 901. #1439 | C23 | semidirect |
| 902. #1439 | C23 | semidirect |
| 903. #1439 | C23 | semidirect |
| 904. #1439 | C23 | semidirect |
| 905. #1439 | C23 | semidirect |
| 906. #1439 | C23 | semidirect |
| 907. #1439 | C23 | semidirect |
| 908. #1439 | C23 | semidirect |
| 909. #1439 | C23 | semidirect |
| 910. #1439 | C23 | semidirect |
| 911. #1439 | C23 | semidirect |
| 912. #1439 | C23 | semidirect |
| 913. #1439 | C23 | semidirect |
| 914. #1439 | C23 | semidirect |
| 915. #1439 | C23 | semidirect |
| 916. #1439 | C23 | semidirect |
| 917. #1439 | C23 | semidirect |
| 918. #1439 | C23 | semidirect |
| 919. #1439 | 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 |
| 993. #1438 | C23 | semidirect |
| 994. #1438 | C23 | semidirect |
| 995. #1438 | C23 | semidirect |
| 996. #1438 | C23 | semidirect |
| 997. #1438 | C23 | semidirect |
| 998. #1438 | C23 | semidirect |
| 999. #1438 | 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 |
| 1038. #1437 | C23 | semidirect |
| 1039. #1437 | C23 | semidirect |
| 1040. #1437 | C23 | semidirect |
| 1041. #1437 | C23 | semidirect |
| 1042. #1437 | C23 | semidirect |
| 1043. #1437 | C23 | semidirect |
| 1044. #1437 | C23 | semidirect |
| 1045. #1437 | C23 | semidirect |
| 1046. #1437 | C23 | semidirect |
| 1047. #1437 | C23 | semidirect |
| 1048. #1437 | C23 | semidirect |
| 1049. #1437 | C23 | semidirect |
| 1050. #1437 | C23 | semidirect |
| 1051. #1437 | C23 | semidirect |
| 1052. #1437 | C23 | semidirect |
| 1053. #1437 | C23 | semidirect |
| 1054. #1437 | C23 | semidirect |
| 1055. #1437 | C23 | semidirect |
| 1056. #1436 | C23 | semidirect |
| 1057. #1436 | C23 | semidirect |
| 1058. #1436 | C23 | semidirect |
| 1059. #1436 | C23 | semidirect |
| 1060. #1436 | C23 | semidirect |
| 1061. #1436 | C23 | semidirect |
| 1062. #1436 | C23 | semidirect |
| 1063. #1436 | C23 | semidirect |
| 1064. #1436 | C23 | semidirect |
| 1065. C4⋊#95 | C23 | semidirect |
| 1066. C4⋊#95 | C23 | semidirect |
| 1067. C4⋊#95 | C23 | semidirect |
| 1068. #1434 | C23 | semidirect |
| 1081. C22⋊#95 | C23 | semidirect |
| 1082. C22⋊#95 | C23 | semidirect |
| 1083. C22⋊#95 | C23 | semidirect |
| 1084. C22⋊#95 | C23 | semidirect |
| 1085. C22⋊#95 | C23 | semidirect |
| 1086. C22⋊#95 | C23 | semidirect |
| 1087. C22⋊#95 | C23 | semidirect |
| 1088. C22⋊#95 | C23 | semidirect |
| 1089. C22⋊#95 | C23 | semidirect |
| 1090. C22⋊#95 | C23 | semidirect |
| 1091. C22⋊#95 | C23 | semidirect |
| 1092. C22⋊#95 | C23 | semidirect |
| 1093. C22⋊#95 | C23 | semidirect |
| 1094. C22⋊#95 | C23 | semidirect |
| 1095. C22⋊#95 | C23 | semidirect |
| 1096. C22⋊#95 | C23 | semidirect |
| 1097. C22⋊#95 | C23 | semidirect |
| 1098. C22⋊#95 | C23 | semidirect |
| 1099. C22⋊#95 | C23 | semidirect |
| 1111. C23×D4 | C2×D4 | semidirect |
| 1112. C23×D4 | C2×D4 | semidirect |
| 1184. C2×#121 | C2×D4 | semidirect |
| 1185. C2×#121 | C2×D4 | semidirect |
| 1187. C2×#120 | C2×D4 | semidirect |
| 1188. C2×#120 | C2×D4 | semidirect |
| 1189. C2×#120 | C2×D4 | semidirect |
| 1190. C2×#120 | C2×D4 | semidirect |
| 1191. C2×#120 | C2×D4 | semidirect |
| 1192. C2×C4×D4 | C2×D4 | semidirect |
| 1193. C2×C4×D4 | C2×D4 | semidirect |
| 1368. #394 | C2×D4 | semidirect |
| 1369. #394 | C2×D4 | semidirect |
| 1370. #394 | C2×D4 | semidirect |
| 1371. #390 | C2×D4 | semidirect |
| 1372. #390 | C2×D4 | semidirect |
| 1466. C25 | C22×D4 | semidirect |
| 1527. C2×C4⋊C4 | C22×D4 | semidirect |
| 1528. C2×C4⋊C4 | C22×D4 | semidirect |
| 1539. C2×C22⋊C4 | C22×D4 | semidirect |
| 1540. C2×C22⋊C4 | C22×D4 | semidirect |
| 1541. C2×C22⋊C4 | C22×D4 | semidirect |
| 1542. C2×C22⋊C4 | C22×D4 | semidirect |
| 1543. C2×C22⋊C4 | C22×D4 | semidirect |
| 1546. C2×C42 | C22×D4 | semidirect |
| 1547. #95 | C22×D4 | semidirect |
| 1568. C2×D4 | #534 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.