Order 2048.
At least 20760 conjugacy classes of subgroups; only the 4464 normal subgroups are shown.
The subgroup lattice has 1728 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C23×B(4,𝔽2) |
| commutator, Frattini, cosocle | C22×D4 | C26 |
| LCS | G ▷ C22×D4 ▷ C22 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C2×#120 ◁ C2×#3484 ◁ G | |
| LECS | G ▷ C22×D4 ▷ C22 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72318861 | C2 | semidirect |
| 2. #72318859 | C2 | semidirect |
| 3. #72318477 | C2 | semidirect |
| 4. #72318383 | C2 | semidirect |
| 5. #72318358 | C2 | semidirect |
| 6. #72318235 | C2 | semidirect |
| 7. #72318220 | C2 | semidirect |
| 8. #72318133 | C2 | semidirect |
| 9. #72318073 | C2 | semidirect |
| 10. #72317998 | C2 | semidirect |
| 11. #72317809 | C2 | semidirect |
| 12. #72317592 | C2 | semidirect |
| 13. #72312526 | C2 | semidirect |
| 14. #72312509 | C2 | semidirect |
| 15. #72311872 | C2 | semidirect |
| 16. #72311471 | C2 | semidirect |
| 17. #72306397 | C2 | semidirect |
| 18. #72286068 | C2 | semidirect |
| 19. #72286067 | C2 | semidirect |
| 20. #72285829 | C2 | semidirect |
| 21. #72257999 | C2 | semidirect |
| 22. #72249469 | C2 | semidirect |
| 23. #72249466 | C2 | semidirect |
| 24. C2×#7622875 | C2 | semidirect |
| 25. #72240656 | C2 | semidirect |
| 26. C2×#501097 | C2 | semidirect |
| 27. C2×#499832 | C2 | semidirect |
| 28. #72234531 | C2 | semidirect |
| 29. C2×#7622880 | C2 | semidirect |
| 30. #72233522 | C2 | semidirect |
| 31. #72233116 | C2 | semidirect |
| 32. C2×#63011 | C22 | semidirect |
| 33. C2×#62862 | C22 | semidirect |
| 34. #10586066 | C22 | semidirect |
| 35. C2×#60399 | C22 | semidirect |
| 36. C22×#3026 | C22 | semidirect |
| 37. C2×#60388 | C22 | semidirect |
| 38. C22×#3019 | C22 | semidirect |
| 39. #8070012 | C22 | semidirect |
| 40. #8069760 | C22 | semidirect |
| 41. #8063818 | C22 | semidirect |
| 42. #8062966 | C22 | semidirect |
| 43. #8058696 | C22 | semidirect |
| 44. #8040645 | C22 | semidirect |
| 45. #7988408 | C22 | semidirect |
| 46. #7967779 | C22 | semidirect |
| 47. #7823086 | C22 | semidirect |
| 48. #7811879 | C22 | semidirect |
| 49. #7763449 | C22 | semidirect |
| 50. #7743196 | C22 | semidirect |
| 51. #7737413 | C22 | semidirect |
| 52. C2×#52004 | C22 | semidirect |
| 55. #7627598 | C22 | semidirect |
| 56. C2×#33559 | C22 | semidirect |
| 57. C2×#33558 | C22 | semidirect |
| 58. C2×#33558 | C22 | semidirect |
| 59. C2×#33558 | C22 | semidirect |
| 61. C2×#33557 | C22 | semidirect |
| 62. C2×#33557 | C22 | semidirect |
| 63. C2×#33557 | C22 | semidirect |
| 64. C2×#33557 | C22 | semidirect |
| 65. C2×#33557 | C22 | semidirect |
| 66. C2×#33557 | C22 | semidirect |
| 67. C2×#33553 | C22 | semidirect |
| 68. C2×#33552 | C22 | semidirect |
| 69. C2×#33552 | C22 | semidirect |
| 70. C2×#33551 | C22 | semidirect |
| 71. C2×#33551 | C22 | semidirect |
| 72. C2×#33551 | C22 | semidirect |
| 73. C2×#33551 | C22 | semidirect |
| 74. C2×#33551 | C22 | semidirect |
| 75. C2×#33551 | C22 | semidirect |
| 76. C2×#33546 | C22 | semidirect |
| 77. C22×#2196 | C22 | semidirect |
| 78. C22×#2196 | C22 | semidirect |
| 79. C22×#2196 | C22 | semidirect |
| 80. C22×#2196 | C22 | semidirect |
| 81. C2×#33359 | C22 | semidirect |
| 82. C22×#2127 | C22 | semidirect |
| 83. C2×#33348 | C22 | semidirect |
| 84. C22×#2121 | C22 | semidirect |
| 85. #6628987 | C22 | semidirect |
| 86. #6628974 | C22 | semidirect |
| 87. #6628900 | C22 | semidirect |
| 88. C2×#32898 | C22 | semidirect |
| 89. #6628873 | C22 | semidirect |
| 90. #6628867 | C22 | semidirect |
| 91. #6573726 | C22 | semidirect |
| 92. #6573724 | C22 | semidirect |
| 93. #6573721 | C22 | semidirect |
| 94. #6573719 | C22 | semidirect |
| 95. #6573716 | C22 | semidirect |
| 96. #6573715 | C22 | semidirect |
| 97. #6573713 | C22 | semidirect |
| 98. D4×B(4,𝔽2) | C22 | semidirect |
| 99. #6573689 | C22 | semidirect |
| 100. #6573687 | C22 | semidirect |
| 101. #6573676 | C22 | semidirect |
| 102. #6573671 | C22 | semidirect |
| 103. #6443353 | C22 | semidirect |
| 104. #6443333 | C22 | semidirect |
| 105. #6442732 | C22 | semidirect |
| 106. #6442565 | C22 | semidirect |
| 107. #6438003 | C22 | semidirect |
| 108. C2×#24404 | C22 | semidirect |
| 109. #6437978 | C22 | semidirect |
| 110. #6437963 | C22 | semidirect |
| 111. #6437632 | C22 | semidirect |
| 112. #6437621 | C22 | semidirect |
| 113. #6437456 | C22 | semidirect |
| 114. C2×#23912 | C22 | semidirect |
| 115. #6379025 | C22 | semidirect |
| 116. #6379010 | C22 | semidirect |
| 117. #6372733 | C22 | semidirect |
| 118. #6372713 | C22 | semidirect |
| 119. #511941 | C22 | semidirect |
| 120. #511938 | C22 | semidirect |
| 121. #511918 | C22 | semidirect |
| 122. #511912 | C22 | semidirect |
| 123. #511787 | C22 | semidirect |
| 124. #511785 | C22 | semidirect |
| 125. #511781 | C22 | semidirect |
| 126. #511780 | C22 | semidirect |
| 127. #511780 | C22 | semidirect |
| 128. #511779 | C22 | semidirect |
| 129. #511779 | C22 | semidirect |
| 130. #511779 | C22 | semidirect |
| 131. #511774 | C22 | semidirect |
| 132. #511771 | C22 | semidirect |
| 133. #503241 | C22 | semidirect |
| 134. #503239 | C22 | semidirect |
| 135. #503238 | C22 | semidirect |
| 136. #503236 | C22 | semidirect |
| 137. #503206 | C22 | semidirect |
| 138. #503206 | C22 | semidirect |
| 139. #503198 | C22 | semidirect |
| 140. #503194 | C22 | semidirect |
| 141. #503192 | C22 | semidirect |
| 142. #503189 | C22 | semidirect |
| 143. #503187 | C22 | semidirect |
| 144. #503184 | C22 | semidirect |
| 145. #501184 | C22 | semidirect |
| 146. #501183 | C22 | semidirect |
| 147. #501181 | C22 | semidirect |
| 148. #501180 | C22 | semidirect |
| 149. #501176 | C22 | semidirect |
| 150. #501174 | C22 | semidirect |
| 151. #501173 | C22 | semidirect |
| 152. #501173 | C22 | semidirect |
| 153. #501169 | C22 | semidirect |
| 154. #501167 | C22 | semidirect |
| 155. #501164 | C22 | semidirect |
| 156. #501164 | C22 | semidirect |
| 157. #501161 | C22 | semidirect |
| 158. #501158 | C22 | semidirect |
| 159. #501157 | C22 | semidirect |
| 160. #501156 | C22 | semidirect |
| 161. #501099 | C22 | semidirect |
| 162. #501098 | C22 | semidirect |
| 163. #501097 | C22 | semidirect |
| 164. #501097 | C22 | semidirect |
| 165. #501097 | C22 | semidirect |
| 166. #501097 | C22 | semidirect |
| 167. #501097 | C22 | semidirect |
| 168. #501096 | C22 | semidirect |
| 169. #501091 | C22 | semidirect |
| 170. #501090 | C22 | semidirect |
| 171. #500826 | C22 | semidirect |
| 172. #500824 | C22 | semidirect |
| 173. #500823 | C22 | semidirect |
| 174. #500821 | C22 | semidirect |
| 175. #500781 | C22 | semidirect |
| 176. #500781 | C22 | semidirect |
| 177. #500773 | C22 | semidirect |
| 178. #500769 | C22 | semidirect |
| 179. #500767 | C22 | semidirect |
| 180. #500764 | C22 | semidirect |
| 181. #500762 | C22 | semidirect |
| 182. #500759 | C22 | semidirect |
| 183. #499850 | C22 | semidirect |
| 184. #499849 | C22 | semidirect |
| 185. #499834 | C22 | semidirect |
| 186. #499833 | C22 | semidirect |
| 187. #499832 | C22 | semidirect |
| 188. #499832 | C22 | semidirect |
| 189. #499832 | C22 | semidirect |
| 190. #499832 | C22 | semidirect |
| 191. #499832 | C22 | semidirect |
| 192. #499831 | C22 | semidirect |
| 193. #499817 | C22 | semidirect |
| 194. #499815 | C22 | semidirect |
| 195. #499812 | C22 | semidirect |
| 196. #499811 | C22 | semidirect |
| 197. #499807 | C22 | semidirect |
| 198. #499807 | C22 | semidirect |
| 199. #499805 | C22 | semidirect |
| 200. #499804 | C22 | semidirect |
| 201. #499801 | C22 | semidirect |
| 202. #499800 | C22 | semidirect |
| 203. #499795 | C22 | semidirect |
| 204. #499795 | C22 | semidirect |
| 205. #499792 | C22 | semidirect |
| 206. #499791 | C22 | semidirect |
| 207. #499789 | C22 | semidirect |
| 208. #499787 | C22 | semidirect |
| 209. #499141 | C22 | semidirect |
| 210. C2×#13424 | C22 | semidirect |
| 211. #499096 | C22 | semidirect |
| 212. #498931 | C22 | semidirect |
| 213. #498931 | C22 | semidirect |
| 214. #498931 | C22 | semidirect |
| 215. C2×#13348 | C22 | semidirect |
| 216. C2×#13348 | C22 | semidirect |
| 217. C2×#13348 | C22 | semidirect |
| 218. #498886 | C22 | semidirect |
| 219. #498886 | C22 | semidirect |
| 220. #498886 | C22 | semidirect |
| 221. #497362 | C22 | semidirect |
| 222. #497361 | C22 | semidirect |
| 223. #497357 | C22 | semidirect |
| 224. #497356 | C22 | semidirect |
| 225. #497355 | C22 | semidirect |
| 226. #497353 | C22 | semidirect |
| 227. #497306 | C22 | semidirect |
| 228. #497305 | C22 | semidirect |
| 229. #497295 | C22 | semidirect |
| 230. #497294 | C22 | semidirect |
| 231. #497290 | C22 | semidirect |
| 232. D4×AΣL(1,𝔽16) | C22 | semidirect |
| 233. #495774 | C22 | semidirect |
| 234. #495771 | C22 | semidirect |
| 235. #495751 | C22 | semidirect |
| 236. C4×#2200 | C22 | semidirect |
| 237. #495178 | C22 | semidirect |
| 238. #495166 | C22 | semidirect |
| 239. #495154 | C22 | semidirect |
| 240. #494718 | C22 | semidirect |
| 241. #494713 | C22 | semidirect |
| 242. #494703 | C22 | semidirect |
| 243. C2×#13086 | C22 | semidirect |
| 244. #494685 | C22 | semidirect |
| 245. C2×#13082 | C22 | semidirect |
| 246. C2×#13049 | C22 | semidirect |
| 247. C2×#13049 | C22 | semidirect |
| 248. C2×#13049 | C22 | semidirect |
| 249. #494579 | C22 | semidirect |
| 250. #494579 | C22 | semidirect |
| 251. #494579 | C22 | semidirect |
| 252. C2×#12966 | C22 | semidirect |
| 253. #494353 | C22 | semidirect |
| 254. #493711 | C22 | semidirect |
| 255. #493702 | C22 | semidirect |
| 256. #493632 | C22 | semidirect |
| 257. #493629 | C22 | semidirect |
| 258. #493629 | C22 | semidirect |
| 259. #493582 | C22 | semidirect |
| 260. C2×#12759 | C22 | semidirect |
| 261. #493430 | C22 | semidirect |
| 262. #493424 | C22 | semidirect |
| 263. C2×#12696 | C22 | semidirect |
| 264. #493357 | C22 | semidirect |
| 265. #493034 | C22 | semidirect |
| 266. #492994 | C22 | semidirect |
| 268. C23×H(5,𝔽2) | C23 | semidirect |
| 269. #62987 | C23 | semidirect |
| 270. D4×H(5,𝔽2) | C23 | semidirect |
| 272. #62842 | C23 | semidirect |
| 274. C2×#3485 | D4 | semidirect |
| 277. C2×#3484 | C23 | semidirect |
| 278. C2×#3549 | C23 | semidirect |
| 282. C2×#3543 | C23 | semidirect |
| 283. C2×#3533 | C23 | semidirect |
| 284. C2×#3533 | C23 | semidirect |
| 285. C2×#3537 | C23 | semidirect |
| 287. C2×#3532 | C23 | semidirect |
| 288. C2×#3532 | C23 | semidirect |
| 289. C2×#3532 | C23 | semidirect |
| 290. C2×#3481 | C23 | semidirect |
| 291. C22×D42 | D4 | semidirect |
| 293. C22×D42 | C23 | semidirect |
| 296. #62652 | C23 | semidirect |
| 302. C2×#3026 | C23 | semidirect |
| 303. C2×#3026 | C23 | semidirect |
| 304. C2×#3026 | C23 | semidirect |
| 305. C2×#3026 | C23 | semidirect |
| 306. C2×#3026 | C23 | semidirect |
| 308. C22×#458 | C23 | semidirect |
| 313. C22×B(4,𝔽2) | C23 | semidirect |
| 320. C2×#3019 | C23 | semidirect |
| 322. C22×#455 | C23 | semidirect |
| 323. C22×#455 | C23 | semidirect |
| 324. C22×#455 | C23 | semidirect |
| 330. C23×#100 | C23 | semidirect |
| 332. C23×#99 | C23 | semidirect |
| 333. #59816 | C23 | semidirect |
| 334. #59802 | C23 | semidirect |
| 335. #59420 | C23 | semidirect |
| 336. #59375 | C23 | semidirect |
| 337. #59191 | C23 | semidirect |
| 338. #59179 | C23 | semidirect |
| 339. #59006 | C23 | semidirect |
| 340. #58990 | C23 | semidirect |
| 342. #52054 | C23 | semidirect |
| 343. #52054 | C23 | semidirect |
| 344. #52031 | C23 | semidirect |
| 345. #52031 | C23 | semidirect |
| 346. #52004 | C23 | semidirect |
| 347. #52004 | C23 | semidirect |
| 348. #52004 | C23 | semidirect |
| 349. #52004 | C23 | semidirect |
| 350. #52004 | C23 | semidirect |
| 351. #52004 | C23 | semidirect |
| 352. #51060 | C23 | semidirect |
| 353. #50887 | C23 | semidirect |
| 354. #50867 | C23 | semidirect |
| 355. #50856 | C23 | semidirect |
| 356. #50856 | C23 | semidirect |
| 357. #50646 | C23 | semidirect |
| 358. #50165 | C23 | semidirect |
| 359. #49562 | C23 | semidirect |
| 360. #48812 | C23 | semidirect |
| 361. #47929 | C23 | semidirect |
| 362. #47848 | C23 | semidirect |
| 363. #47827 | C23 | semidirect |
| 364. #46324 | C23 | semidirect |
| 365. #46276 | C23 | semidirect |
| 366. #45490 | C23 | semidirect |
| 367. #45479 | C23 | semidirect |
| 368. #45455 | C23 | semidirect |
| 369. #45453 | C23 | semidirect |
| 370. #45439 | C23 | semidirect |
| 371. #45439 | C23 | semidirect |
| 372. #39362 | D4 | semidirect |
| 374. #39355 | D4 | semidirect |
| 376. #39336 | D4 | semidirect |
| 378. #39332 | D4 | semidirect |
| 380. #37682 | D4 | semidirect |
| 382. #37674 | D4 | semidirect |
| 384. #37652 | D4 | semidirect |
| 386. #37646 | D4 | semidirect |
| 388. #37645 | D4 | semidirect |
| 390. #37644 | D4 | semidirect |
| 394. #36099 | D4 | semidirect |
| 396. D4×#120 | D4 | semidirect |
| 400. #35528 | D4 | semidirect |
| 401. #35527 | D4 | semidirect |
| 402. #35390 | D4 | semidirect |
| 403. #35358 | D4 | semidirect |
| 406. #35329 | D4 | semidirect |
| 407. #35327 | D4 | semidirect |
| 409. #35149 | D4 | semidirect |
| 410. #34984 | D4 | semidirect |
| 411. #34980 | D4 | semidirect |
| 412. #34980 | D4 | semidirect |
| 413. C2×#2410 | D4 | semidirect |
| 415. #34633 | D4 | semidirect |
| 416. #34520 | C23 | semidirect |
| 417. #34510 | C23 | semidirect |
| 418. #34468 | C23 | semidirect |
| 420. C4×#560 | C23 | semidirect |
| 424. #34198 | D4 | semidirect |
| 425. #34065 | D4 | semidirect |
| 426. #33557 | D4 | semidirect |
| 427. C2×#2201 | C23 | semidirect |
| 428. C2×#2201 | C23 | semidirect |
| 429. C2×#2201 | C23 | semidirect |
| 433. C2×#2200 | C23 | semidirect |
| 434. C2×#2200 | C23 | semidirect |
| 435. C2×#2200 | C23 | semidirect |
| 436. C2×#2200 | C23 | semidirect |
| 437. C2×#2200 | C23 | semidirect |
| 438. C2×#2200 | C23 | semidirect |
| 440. C2×#2199 | C23 | semidirect |
| 441. C2×#2199 | C23 | semidirect |
| 442. C2×#2199 | C23 | semidirect |
| 443. C2×#2199 | C23 | semidirect |
| 444. C2×#2199 | C23 | semidirect |
| 446. C2×#2198 | C23 | semidirect |
| 447. C2×#2198 | C23 | semidirect |
| 448. C2×#2198 | C23 | semidirect |
| 449. C2×#2198 | C23 | semidirect |
| 450. C2×#2198 | C23 | semidirect |
| 452. C2×#2197 | C23 | semidirect |
| 453. C2×#2197 | C23 | semidirect |
| 454. C2×#2197 | C23 | semidirect |
| 455. C2×#2197 | C23 | semidirect |
| 456. C2×#2197 | C23 | semidirect |
| 457. C2×#2197 | C23 | semidirect |
| 458. C2×#2197 | C23 | semidirect |
| 459. C2×#2197 | C23 | semidirect |
| 465. C2×#2196 | C23 | semidirect |
| 466. C2×#2196 | C23 | semidirect |
| 467. C2×#2196 | C23 | semidirect |
| 468. C2×#2196 | C23 | semidirect |
| 469. C2×#2196 | C23 | semidirect |
| 470. C2×#2196 | C23 | semidirect |
| 471. C2×#2196 | C23 | semidirect |
| 472. C2×#2196 | C23 | semidirect |
| 473. C2×#2196 | C23 | semidirect |
| 474. C2×#2196 | C23 | semidirect |
| 475. C2×#2196 | C23 | semidirect |
| 476. C2×#2196 | C23 | semidirect |
| 477. C2×#2196 | C23 | semidirect |
| 478. C2×#2128 | C23 | semidirect |
| 481. C2×#2127 | C23 | semidirect |
| 482. C2×#2127 | C23 | semidirect |
| 483. C2×#2127 | C23 | semidirect |
| 484. C2×#2126 | C23 | semidirect |
| 485. C22×#354 | C23 | semidirect |
| 486. C22×#354 | C23 | semidirect |
| 491. C22×#353 | C23 | semidirect |
| 492. C2×#2122 | C23 | semidirect |
| 497. C2×#2121 | C23 | semidirect |
| 498. C2×#2121 | C23 | semidirect |
| 499. C2×#2121 | C23 | semidirect |
| 500. C2×#2121 | C23 | semidirect |
| 501. C2×#2121 | C23 | semidirect |
| 502. C2×#2121 | C23 | semidirect |
| 503. C2×#2121 | C23 | semidirect |
| 504. C2×#2120 | C23 | semidirect |
| 505. C22×#352 | C23 | semidirect |
| 510. C22×AΣL(1,𝔽16) | C23 | semidirect |
| 511. C22×AΣL(1,𝔽16) | C23 | semidirect |
| 513. #32928 | C23 | semidirect |
| 515. #32926 | C23 | semidirect |
| 516. #32924 | C23 | semidirect |
| 517. #32922 | C23 | semidirect |
| 518. #32901 | C23 | semidirect |
| 519. #32900 | C23 | semidirect |
| 520. #32899 | C23 | semidirect |
| 523. #32898 | C23 | semidirect |
| 524. #32898 | C23 | semidirect |
| 525. #32898 | C23 | semidirect |
| 526. #32893 | C23 | semidirect |
| 527. #32891 | C23 | semidirect |
| 528. #32891 | C23 | semidirect |
| 529. #32888 | C23 | semidirect |
| 531. #25773 | C23 | semidirect |
| 533. #25771 | C23 | semidirect |
| 534. #25743 | C23 | semidirect |
| 535. #25738 | C23 | semidirect |
| 536. #24415 | C23 | semidirect |
| 537. #24413 | C23 | semidirect |
| 538. #24413 | C23 | semidirect |
| 539. #24412 | C23 | semidirect |
| 540. #24407 | C23 | semidirect |
| 541. #24406 | C23 | semidirect |
| 542. #24405 | C23 | semidirect |
| 545. #24404 | C23 | semidirect |
| 546. #24404 | C23 | semidirect |
| 547. #24404 | C23 | semidirect |
| 548. #24263 | C23 | semidirect |
| 549. #24262 | C23 | semidirect |
| 550. #24261 | C23 | semidirect |
| 551. #24260 | C23 | semidirect |
| 553. #24222 | C23 | semidirect |
| 557. #23912 | C23 | semidirect |
| 562. #23903 | C23 | semidirect |
| 563. #23903 | C23 | semidirect |
| 565. #23901 | C23 | semidirect |
| 567. #23900 | C23 | semidirect |
| 568. #22408 | C23 | semidirect |
| 569. D4×#100 | C23 | semidirect |
| 570. #22405 | C23 | semidirect |
| 571. #22405 | C23 | semidirect |
| 572. D4×#99 | C23 | semidirect |
| 573. D4×#99 | C23 | semidirect |
| 574. #21482 | C23 | semidirect |
| 575. #21481 | C23 | semidirect |
| 576. C4×#458 | C23 | semidirect |
| 577. C4×B(4,𝔽2) | C23 | semidirect |
| 579. C4×#453 | C23 | semidirect |
| 581. #20960 | C23 | semidirect |
| 585. C2×#1885 | C23 | semidirect |
| 586. C2×#1867 | C23 | semidirect |
| 587. #20856 | C23 | semidirect |
| 588. #20638 | C23 | semidirect |
| 589. #20633 | C23 | semidirect |
| 590. #20616 | C23 | semidirect |
| 591. #20616 | C23 | semidirect |
| 592. #20616 | C23 | semidirect |
| 593. C2×#1790 | C23 | semidirect |
| 594. C2×#1790 | C23 | semidirect |
| 595. C2×#1790 | C23 | semidirect |
| 597. C2×#1783 | C23 | semidirect |
| 599. C2×#1781 | C23 | semidirect |
| 600. #20398 | C23 | semidirect |
| 601. #20392 | C23 | semidirect |
| 602. #13425 | C23 | semidirect |
| 603. #13424 | C23 | semidirect |
| 604. #13424 | C23 | semidirect |
| 605. #13424 | C23 | semidirect |
| 606. #13424 | C23 | semidirect |
| 607. #13424 | C23 | semidirect |
| 608. #13423 | C23 | semidirect |
| 609. #13422 | C23 | semidirect |
| 610. #13420 | C23 | semidirect |
| 611. #13420 | C23 | semidirect |
| 612. #13419 | C23 | semidirect |
| 613. #13419 | C23 | semidirect |
| 614. #13349 | C23 | semidirect |
| 615. #13349 | C23 | semidirect |
| 616. #13349 | C23 | semidirect |
| 619. #13348 | C23 | semidirect |
| 620. #13348 | C23 | semidirect |
| 621. #13348 | C23 | semidirect |
| 622. #13348 | C23 | semidirect |
| 623. #13348 | C23 | semidirect |
| 624. #13348 | C23 | semidirect |
| 625. #13348 | C23 | semidirect |
| 626. #13348 | C23 | semidirect |
| 627. #13348 | C23 | semidirect |
| 628. #13348 | C23 | semidirect |
| 629. #13348 | C23 | semidirect |
| 630. #13348 | C23 | semidirect |
| 631. #13348 | C23 | semidirect |
| 632. #13347 | C23 | semidirect |
| 633. #13347 | C23 | semidirect |
| 634. #13347 | C23 | semidirect |
| 635. #13346 | C23 | semidirect |
| 636. #13346 | C23 | semidirect |
| 637. #13346 | C23 | semidirect |
| 639. #13344 | C23 | semidirect |
| 640. #13344 | C23 | semidirect |
| 641. #13344 | C23 | semidirect |
| 642. #13344 | C23 | semidirect |
| 643. #13344 | C23 | semidirect |
| 645. #13343 | C23 | semidirect |
| 646. #13343 | C23 | semidirect |
| 647. #13343 | C23 | semidirect |
| 648. #13343 | C23 | semidirect |
| 649. #13343 | C23 | semidirect |
| 650. #13225 | C23 | semidirect |
| 651. #13225 | C23 | semidirect |
| 652. #13224 | C23 | semidirect |
| 653. #13224 | C23 | semidirect |
| 654. #13222 | C23 | semidirect |
| 655. #13222 | C23 | semidirect |
| 656. #13221 | C23 | semidirect |
| 657. #13221 | C23 | semidirect |
| 658. #13219 | C23 | semidirect |
| 659. #13219 | C23 | semidirect |
| 660. #13218 | C23 | semidirect |
| 661. #13218 | C23 | semidirect |
| 662. #13091 | C23 | semidirect |
| 663. #13091 | C23 | semidirect |
| 664. #13090 | C23 | semidirect |
| 665. #13090 | C23 | semidirect |
| 666. #13090 | C23 | semidirect |
| 667. #13090 | C23 | semidirect |
| 668. #13088 | C23 | semidirect |
| 669. #13088 | C23 | semidirect |
| 670. #13087 | C23 | semidirect |
| 671. #13086 | C23 | semidirect |
| 672. #13086 | C23 | semidirect |
| 673. #13086 | C23 | semidirect |
| 674. #13086 | C23 | semidirect |
| 675. #13086 | C23 | semidirect |
| 676. #13085 | C23 | semidirect |
| 677. #13084 | C23 | semidirect |
| 678. #13083 | C23 | semidirect |
| 679. #13082 | C23 | semidirect |
| 680. #13082 | C23 | semidirect |
| 681. #13082 | C23 | semidirect |
| 682. #13082 | C23 | semidirect |
| 683. #13082 | C23 | semidirect |
| 684. #13081 | C23 | semidirect |
| 685. #13080 | C23 | semidirect |
| 687. #13049 | C23 | semidirect |
| 688. #13049 | C23 | semidirect |
| 689. #13049 | C23 | semidirect |
| 690. #13049 | C23 | semidirect |
| 691. #13049 | C23 | semidirect |
| 692. #13049 | C23 | semidirect |
| 693. #13049 | C23 | semidirect |
| 694. #13049 | C23 | semidirect |
| 695. #13044 | C23 | semidirect |
| 696. #13044 | C23 | semidirect |
| 697. #13044 | C23 | semidirect |
| 698. #13043 | C23 | semidirect |
| 699. #13043 | C23 | semidirect |
| 700. #13043 | C23 | semidirect |
| 701. #13042 | C23 | semidirect |
| 702. #13042 | C23 | semidirect |
| 703. #13042 | C23 | semidirect |
| 704. #13041 | C23 | semidirect |
| 705. #13041 | C23 | semidirect |
| 706. #13041 | C23 | semidirect |
| 707. #12966 | C23 | semidirect |
| 708. #12966 | C23 | semidirect |
| 709. #12966 | C23 | semidirect |
| 710. #12961 | C23 | semidirect |
| 711. #12960 | C23 | semidirect |
| 712. #12959 | C23 | semidirect |
| 713. #12958 | C23 | semidirect |
| 714. #12799 | C23 | semidirect |
| 715. #12797 | C23 | semidirect |
| 716. #12796 | C23 | semidirect |
| 717. #12795 | C23 | semidirect |
| 718. #12794 | C23 | semidirect |
| 719. #12793 | C23 | semidirect |
| 720. #12764 | C23 | semidirect |
| 721. #12763 | C23 | semidirect |
| 722. #12763 | C23 | semidirect |
| 723. #12762 | C23 | semidirect |
| 724. #12762 | C23 | semidirect |
| 725. #12762 | C23 | semidirect |
| 726. #12761 | C23 | semidirect |
| 727. #12761 | C23 | semidirect |
| 728. #12761 | C23 | semidirect |
| 729. #12760 | C23 | semidirect |
| 730. #12760 | C23 | semidirect |
| 731. #12759 | C23 | semidirect |
| 732. #12759 | C23 | semidirect |
| 733. #12759 | C23 | semidirect |
| 734. #12759 | C23 | semidirect |
| 735. #12759 | C23 | semidirect |
| 736. #12759 | C23 | semidirect |
| 737. #12697 | C23 | semidirect |
| 738. #12696 | C23 | semidirect |
| 739. #12696 | C23 | semidirect |
| 740. #12696 | C23 | semidirect |
| 741. #12695 | C23 | semidirect |
| 742. #12693 | C23 | semidirect |
| 743. #12691 | C23 | semidirect |
| 744. #12690 | C23 | semidirect |
| 745. #12690 | C23 | semidirect |
| 746. #12690 | C23 | semidirect |
| 747. #12689 | C23 | semidirect |
| 748. #12688 | C23 | semidirect |
| 749. #12687 | C23 | semidirect |
| 750. #12687 | C23 | semidirect |
| 751. #12628 | C23 | semidirect |
| 752. C4×#353 | C23 | semidirect |
| 753. #12622 | C23 | semidirect |
| 754. #12621 | C23 | semidirect |
| 755. C4×#352 | C23 | semidirect |
| 756. C4×AΣL(1,𝔽16) | C23 | semidirect |
| 757. #12582 | C23 | semidirect |
| 758. #12582 | C23 | semidirect |
| 759. C2×#1390 | C23 | semidirect |
| 760. C2×#1390 | C23 | semidirect |
| 761. C2×#1390 | C23 | semidirect |
| 762. C2×#1390 | C23 | semidirect |
| 764. C22×H(5,𝔽2) | C2×D4 | semidirect |
| 771. C23×#41 | C2×D4 | semidirect |
| 772. C24×D4 | C2×D4 | semidirect |
| 773. C24×D4 | C2×D4 | semidirect |
| 774. C24×D4 | C2×D4 | semidirect |
| 775. C24×D4 | C2×D4 | semidirect |
| 777. #3543 | C2×D4 | semidirect |
| 793. C2×#547 | C2×D4 | semidirect |
| 794. C2×#547 | C2×D4 | semidirect |
| 798. C2×#546 | C2×D4 | semidirect |
| 799. C2×#546 | C2×D4 | semidirect |
| 811. C2×#536 | C2×D4 | semidirect |
| 812. C2×#536 | C2×D4 | semidirect |
| 813. C2×#536 | C2×D4 | semidirect |
| 816. C2×#535 | C2×D4 | semidirect |
| 817. C2×#535 | C2×D4 | semidirect |
| 818. C2×#535 | C2×D4 | semidirect |
| 819. C2×#535 | C2×D4 | semidirect |
| 820. C2×#535 | C2×D4 | semidirect |
| 821. C2×#535 | C2×D4 | semidirect |
| 822. C2×#535 | C2×D4 | semidirect |
| 831. C2×#534 | C2×D4 | semidirect |
| 832. C2×#534 | C2×D4 | semidirect |
| 833. C2×#534 | C2×D4 | semidirect |
| 834. C2×#534 | C2×D4 | semidirect |
| 835. C2×#534 | C2×D4 | semidirect |
| 836. C2×#534 | C2×D4 | semidirect |
| 837. C2×#534 | C2×D4 | semidirect |
| 843. C2×#532 | C2×D4 | semidirect |
| 844. C2×#532 | C2×D4 | semidirect |
| 846. C22×#127 | C2×D4 | semidirect |
| 847. C22×#127 | C2×D4 | semidirect |
| 848. C22×#127 | C2×D4 | semidirect |
| 851. C22×#124 | C2×D4 | semidirect |
| 855. C2×#525 | C2×D4 | semidirect |
| 856. C2×#525 | C2×D4 | semidirect |
| 858. C22×#123 | C2×D4 | semidirect |
| 860. C22×#121 | C2×D4 | semidirect |
| 861. C22×#121 | C2×D4 | semidirect |
| 862. C22×#121 | C2×D4 | semidirect |
| 863. C22×#121 | C2×D4 | semidirect |
| 866. C22×#120 | C2×D4 | semidirect |
| 867. C22×#120 | C2×D4 | semidirect |
| 868. C22×#120 | C2×D4 | semidirect |
| 869. C22×#120 | C2×D4 | semidirect |
| 870. C22×#120 | C2×D4 | semidirect |
| 871. C22×#120 | C2×D4 | semidirect |
| 872. C22×#120 | C2×D4 | semidirect |
| 877. C2×#518 | C2×D4 | semidirect |
| 878. C2×#518 | C2×D4 | semidirect |
| 881. C2×C4×#41 | C2×D4 | semidirect |
| 882. C22×C4×D4 | C2×D4 | semidirect |
| 883. C22×C4×D4 | C2×D4 | semidirect |
| 884. C22×#117 | C2×D4 | semidirect |
| 885. C23×C22⋊C4 | C2×D4 | semidirect |
| 886. #3026 | C2×D4 | semidirect |
| 911. C2×#453 | C2×D4 | semidirect |
| 936. #2858 | C2×D4 | semidirect |
| 937. #2858 | C2×D4 | semidirect |
| 938. #2854 | C2×D4 | semidirect |
| 939. #2854 | C2×D4 | semidirect |
| 940. #2850 | C2×D4 | semidirect |
| 941. #2850 | C2×D4 | semidirect |
| 942. #2849 | C2×D4 | semidirect |
| 943. #2849 | C2×D4 | semidirect |
| 944. #2849 | C2×D4 | semidirect |
| 945. #2849 | C2×D4 | semidirect |
| 946. #2847 | C2×D4 | semidirect |
| 947. #2847 | C2×D4 | semidirect |
| 948. #2846 | C2×D4 | semidirect |
| 949. #2846 | C2×D4 | semidirect |
| 950. #2846 | C2×D4 | semidirect |
| 951. #2846 | C2×D4 | semidirect |
| 964. #2658 | C2×D4 | semidirect |
| 965. #2657 | C2×D4 | semidirect |
| 966. #2621 | C2×D4 | semidirect |
| 967. #2620 | C2×D4 | semidirect |
| 968. #2620 | C2×D4 | semidirect |
| 969. #2620 | C2×D4 | semidirect |
| 970. #2620 | C2×D4 | semidirect |
| 971. #2619 | C2×D4 | semidirect |
| 972. #2618 | C2×D4 | semidirect |
| 973. #2618 | C2×D4 | semidirect |
| 974. #2617 | C2×D4 | semidirect |
| 975. #2617 | C2×D4 | semidirect |
| 976. #2613 | C2×D4 | semidirect |
| 977. #2613 | C2×D4 | semidirect |
| 978. #2613 | C2×D4 | semidirect |
| 979. #2613 | C2×D4 | semidirect |
| 980. #2613 | C2×D4 | semidirect |
| 981. #2613 | C2×D4 | semidirect |
| 982. #2613 | C2×D4 | semidirect |
| 983. #2613 | C2×D4 | semidirect |
| 984. #2547 | C2×D4 | semidirect |
| 986. #2544 | C2×D4 | semidirect |
| 987. #2544 | C2×D4 | semidirect |
| 988. #2544 | C2×D4 | semidirect |
| 990. #2541 | C2×D4 | semidirect |
| 991. #2541 | C2×D4 | semidirect |
| 992. #2539 | C2×D4 | semidirect |
| 993. #2539 | C2×D4 | semidirect |
| 994. #2539 | C2×D4 | semidirect |
| 995. #2539 | C2×D4 | semidirect |
| 996. #2534 | C2×D4 | semidirect |
| 997. #2534 | C2×D4 | semidirect |
| 1000. #2435 | C2×D4 | semidirect |
| 1001. #2435 | C2×D4 | semidirect |
| 1004. #2433 | C2×D4 | semidirect |
| 1005. #2433 | C2×D4 | semidirect |
| 1006. #2433 | C2×D4 | semidirect |
| 1007. #2433 | C2×D4 | semidirect |
| 1008. #2433 | C2×D4 | semidirect |
| 1009. #2433 | C2×D4 | semidirect |
| 1010. #2433 | C2×D4 | semidirect |
| 1012. #2432 | C2×D4 | semidirect |
| 1013. #2432 | C2×D4 | semidirect |
| 1014. #2432 | C2×D4 | semidirect |
| 1016. #2431 | C2×D4 | semidirect |
| 1017. #2431 | C2×D4 | semidirect |
| 1018. #2431 | C2×D4 | semidirect |
| 1019. #2431 | C2×D4 | semidirect |
| 1020. #2413 | C2×D4 | semidirect |
| 1021. #2413 | C2×D4 | semidirect |
| 1022. #2412 | C2×D4 | semidirect |
| 1023. #2412 | C2×D4 | semidirect |
| 1024. #2411 | C2×D4 | semidirect |
| 1025. #2411 | C2×D4 | semidirect |
| 1026. #2410 | C2×D4 | semidirect |
| 1027. #2410 | C2×D4 | semidirect |
| 1028. #2410 | C2×D4 | semidirect |
| 1029. #2410 | C2×D4 | semidirect |
| 1030. #2410 | C2×D4 | semidirect |
| 1031. #2410 | C2×D4 | semidirect |
| 1032. #2410 | C2×D4 | semidirect |
| 1033. #2410 | C2×D4 | semidirect |
| 1034. #2410 | C2×D4 | semidirect |
| 1035. #2410 | C2×D4 | semidirect |
| 1036. #2408 | C2×D4 | semidirect |
| 1037. #2408 | C2×D4 | semidirect |
| 1040. #2406 | C2×D4 | semidirect |
| 1042. #2405 | C2×D4 | semidirect |
| 1044. #2404 | C2×D4 | semidirect |
| 1046. #2403 | C2×D4 | semidirect |
| 1047. #2403 | C2×D4 | semidirect |
| 1048. #2403 | C2×D4 | semidirect |
| 1049. #2403 | C2×D4 | semidirect |
| 1050. #2403 | C2×D4 | semidirect |
| 1063. #2342 | C2×D4 | semidirect |
| 1064. #2342 | C2×D4 | semidirect |
| 1065. #2342 | C2×D4 | semidirect |
| 1066. #2342 | C2×D4 | semidirect |
| 1067. D4×C22⋊C4 | C2×D4 | semidirect |
| 1068. D4×C22⋊C4 | C2×D4 | semidirect |
| 1069. D4×C22⋊C4 | C2×D4 | semidirect |
| 1070. D4×C22⋊C4 | C2×D4 | semidirect |
| 1071. #2328 | C2×D4 | semidirect |
| 1073. #2322 | C2×D4 | semidirect |
| 1075. #2321 | C2×D4 | semidirect |
| 1077. #2315 | C2×D4 | semidirect |
| 1078. #2310 | C2×D4 | semidirect |
| 1079. #2309 | C2×D4 | semidirect |
| 1080. #2309 | C2×D4 | semidirect |
| 1082. #2308 | C2×D4 | semidirect |
| 1083. #2308 | C2×D4 | semidirect |
| 1084. #2308 | C2×D4 | semidirect |
| 1085. C4×#127 | C2×D4 | semidirect |
| 1087. C4×#123 | C2×D4 | semidirect |
| 1089. C4×#120 | C2×D4 | semidirect |
| 1091. #2297 | C2×D4 | semidirect |
| 1092. #2297 | C2×D4 | semidirect |
| 1093. #2297 | C2×D4 | semidirect |
| 1094. #2296 | C2×D4 | semidirect |
| 1095. #2293 | C2×D4 | semidirect |
| 1096. #2293 | C2×D4 | semidirect |
| 1097. #2290 | C2×D4 | semidirect |
| 1098. #2290 | C2×D4 | semidirect |
| 1099. C2×#386 | C2×D4 | semidirect |
| 1100. C2×#386 | C2×D4 | semidirect |
| 1102. C2×#385 | C2×D4 | semidirect |
| 1103. #2285 | C2×D4 | semidirect |
| 1104. #2280 | C2×D4 | semidirect |
| 1105. C2×#379 | C2×D4 | semidirect |
| 1106. C2×#379 | C2×D4 | semidirect |
| 1107. #2273 | C2×D4 | semidirect |
| 1108. C4×#117 | C2×D4 | semidirect |
| 1109. #2200 | C2×D4 | semidirect |
| 1110. #2198 | C2×D4 | semidirect |
| 1111. #2196 | C2×D4 | semidirect |
| 1118. C2×#353 | C2×D4 | semidirect |
| 1129. #2121 | C2×D4 | semidirect |
| 1258. #560 | C22×D4 | semidirect |
| 1259. #559 | C22×D4 | semidirect |
| 1260. D42 | C22×D4 | semidirect |
| 1511. #353 | C22×D4 | semidirect |
| 1512. #353 | C22×D4 | semidirect |
| 1513. #352 | C22×D4 | semidirect |
| 1514. AΣL(1,𝔽16) | C22×D4 | semidirect |
| 1555. C22×D4 | D42 | semidirect |
| 1556. C22×D4 | D42 | semidirect |
| 1589. #127 | D42 | semidirect |
| 1590. #127 | D42 | semidirect |
| 1595. #123 | D42 | semidirect |
| 1601. #120 | D42 | semidirect |
| 1632. C2×C22⋊C4 | D42 | semidirect |
| 1645. C2×C42 | D42 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.