Order 2048.
Only the 5598 normal subgroups are shown; non-normal subgroups are omitted.
The subgroup lattice has 1614 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, socle | C2 | #1202 |
| commutator, Frattini, cosocle | C23×C4 | C26 |
| LCS | G ▷ C23×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C2 ◁ C23×C4 ◁ G | |
| LECS | G ▷ C23×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72341366 | C2 | semidirect |
| 2. #72341366 | C2 | semidirect |
| 3. #72341363 | C2 | semidirect |
| 4. #72341362 | C2 | semidirect |
| 5. #72341355 | C2 | semidirect |
| 6. #72341354 | C2 | semidirect |
| 7. #72341353 | C2 | semidirect |
| 8. #72341351 | C2 | semidirect |
| 9. #72341346 | C2 | semidirect |
| 10. #72341344 | C2 | semidirect |
| 11. #72341342 | C2 | semidirect |
| 12. #72341340 | C2 | semidirect |
| 13. #72341337 | C2 | semidirect |
| 14. #72341336 | C2 | semidirect |
| 15. #72341332 | C2 | semidirect |
| 16. #72341328 | C2 | semidirect |
| 17. #72341326 | C2 | semidirect |
| 18. #72341298 | C2 | semidirect |
| 19. #72312619 | C2 | semidirect |
| 20. #72312387 | C2 | semidirect |
| 21. #72311366 | C2 | semidirect |
| 22. #72311147 | C2 | semidirect |
| 23. #72310916 | C2 | semidirect |
| 24. #72303081 | C2 | semidirect |
| 25. #72287270 | C2 | semidirect |
| 26. #72241304 | C2 | semidirect |
| 27. #72241303 | C2 | semidirect |
| 28. #72241302 | C2 | semidirect |
| 29. #72241301 | C2 | semidirect |
| 30. #72241172 | C2 | semidirect |
| 31. #72241172 | C2 | semidirect |
| 32. #72238012 | C2 | semidirect |
| 33. #72227731 | C2 | semidirect |
| 34. #72219688 | C2 | semidirect |
| 35. #72219688 | C2 | semidirect |
| 37. #10587000 | C22 | semidirect |
| 38. #10586999 | C22 | semidirect |
| 39. #10586106 | C22 | semidirect |
| 40. #10586097 | C22 | semidirect |
| 41. #10576179 | C22 | semidirect |
| 42. #10576118 | C22 | semidirect |
| 43. #10576117 | C22 | semidirect |
| 46. #10574854 | C22 | semidirect |
| 47. #10574854 | C22 | semidirect |
| 48. #10574854 | C22 | semidirect |
| 49. #10574854 | C22 | semidirect |
| 51. #10574849 | C22 | semidirect |
| 52. #10574849 | C22 | semidirect |
| 54. #10574846 | C22 | semidirect |
| 55. #10574846 | C22 | semidirect |
| 58. #10574841 | C22 | semidirect |
| 59. #10574841 | C22 | semidirect |
| 60. #10574841 | C22 | semidirect |
| 61. #10574841 | C22 | semidirect |
| 62. C2×#60391 | C22 | semidirect |
| 64. C2×#60389 | C22 | semidirect |
| 65. C2×#60389 | C22 | semidirect |
| 66. C2×#60389 | C22 | semidirect |
| 68. C2×#60388 | C22 | semidirect |
| 69. C2×#60388 | C22 | semidirect |
| 70. #10574065 | C22 | semidirect |
| 71. #10574065 | C22 | semidirect |
| 72. #10574064 | C22 | semidirect |
| 73. #10574064 | C22 | semidirect |
| 74. #7672684 | C22 | semidirect |
| 75. #6629052 | C22 | semidirect |
| 76. #6629052 | C22 | semidirect |
| 77. #6628972 | C22 | semidirect |
| 78. #6628971 | C22 | semidirect |
| 79. #6628902 | C22 | semidirect |
| 80. #6628886 | C22 | semidirect |
| 81. #6628886 | C22 | semidirect |
| 82. #6628886 | C22 | semidirect |
| 83. #6628886 | C22 | semidirect |
| 84. #6628884 | C22 | semidirect |
| 85. #6628883 | C22 | semidirect |
| 86. #6628874 | C22 | semidirect |
| 87. #6628873 | C22 | semidirect |
| 88. #6628873 | C22 | semidirect |
| 89. #6628873 | C22 | semidirect |
| 90. #6628873 | C22 | semidirect |
| 91. #6443343 | C22 | semidirect |
| 92. #6443343 | C22 | semidirect |
| 93. #6443332 | C22 | semidirect |
| 94. #6443330 | C22 | semidirect |
| 95. C2×#25748 | C22 | semidirect |
| 96. C2×#25744 | C22 | semidirect |
| 97. #6443298 | C22 | semidirect |
| 98. #6443297 | C22 | semidirect |
| 99. #6442701 | C22 | semidirect |
| 100. #6442700 | C22 | semidirect |
| 101. #6442609 | C22 | semidirect |
| 102. #6442607 | C22 | semidirect |
| 103. #6442596 | C22 | semidirect |
| 104. #6442596 | C22 | semidirect |
| 105. #6442555 | C22 | semidirect |
| 106. #6442555 | C22 | semidirect |
| 107. #6437989 | C22 | semidirect |
| 108. #6437989 | C22 | semidirect |
| 109. #6437987 | C22 | semidirect |
| 110. #6437986 | C22 | semidirect |
| 111. #6437971 | C22 | semidirect |
| 112. #6437970 | C22 | semidirect |
| 113. #6437970 | C22 | semidirect |
| 114. #6437970 | C22 | semidirect |
| 115. #6437949 | C22 | semidirect |
| 116. #6437949 | C22 | semidirect |
| 117. C2×#24474 | C22 | semidirect |
| 118. C2×#24475 | C22 | semidirect |
| 119. #6437943 | C22 | semidirect |
| 120. #6437942 | C22 | semidirect |
| 121. #6437942 | C22 | semidirect |
| 122. #6437941 | C22 | semidirect |
| 123. #6437630 | C22 | semidirect |
| 124. #6437611 | C22 | semidirect |
| 125. #6437594 | C22 | semidirect |
| 126. #6437594 | C22 | semidirect |
| 127. #6437594 | C22 | semidirect |
| 128. #6437593 | C22 | semidirect |
| 129. #6437584 | C22 | semidirect |
| 130. #6437584 | C22 | semidirect |
| 131. C2×#23875 | C22 | semidirect |
| 132. C2×#23874 | C22 | semidirect |
| 133. #6437579 | C22 | semidirect |
| 134. #6437578 | C22 | semidirect |
| 135. #6437482 | C22 | semidirect |
| 136. #6437481 | C22 | semidirect |
| 137. #6437481 | C22 | semidirect |
| 138. #6437481 | C22 | semidirect |
| 139. #6437455 | C22 | semidirect |
| 140. #6437453 | C22 | semidirect |
| 141. #6437453 | C22 | semidirect |
| 142. #6437452 | C22 | semidirect |
| 143. #6379196 | C22 | semidirect |
| 144. #6379196 | C22 | semidirect |
| 145. #6379192 | C22 | semidirect |
| 146. #6379191 | C22 | semidirect |
| 147. #6379113 | C22 | semidirect |
| 148. #6379113 | C22 | semidirect |
| 149. #6379034 | C22 | semidirect |
| 150. #6379033 | C22 | semidirect |
| 151. #6372723 | C22 | semidirect |
| 152. #6372723 | C22 | semidirect |
| 153. C4×#3018 | C22 | semidirect |
| 154. C4×#3018 | C22 | semidirect |
| 155. #449493 | C22 | semidirect |
| 156. #449490 | C22 | semidirect |
| 157. #419045 | C22 | semidirect |
| 158. #419045 | C22 | semidirect |
| 159. #419044 | C22 | semidirect |
| 160. #419041 | C22 | semidirect |
| 161. #419011 | C22 | semidirect |
| 162. #419010 | C22 | semidirect |
| 163. #418909 | C22 | semidirect |
| 164. #418907 | C22 | semidirect |
| 165. #418884 | C22 | semidirect |
| 166. #417810 | C22 | semidirect |
| 167. #417806 | C22 | semidirect |
| 168. #417803 | C22 | semidirect |
| 169. #417802 | C22 | semidirect |
| 170. #417800 | C22 | semidirect |
| 171. #417712 | C22 | semidirect |
| 172. #417712 | C22 | semidirect |
| 173. #417702 | C22 | semidirect |
| 174. #417702 | C22 | semidirect |
| 175. #417669 | C22 | semidirect |
| 176. #417669 | C22 | semidirect |
| 177. #417627 | C22 | semidirect |
| 178. #417626 | C22 | semidirect |
| 179. #417568 | C22 | semidirect |
| 180. #417566 | C22 | semidirect |
| 181. #395638 | C22 | semidirect |
| 182. #395638 | C22 | semidirect |
| 183. #395629 | C22 | semidirect |
| 184. #395628 | C22 | semidirect |
| 185. #395616 | C22 | semidirect |
| 186. #395616 | C22 | semidirect |
| 187. #395587 | C22 | semidirect |
| 188. #395587 | C22 | semidirect |
| 189. #395561 | C22 | semidirect |
| 190. #395560 | C22 | semidirect |
| 191. #395528 | C22 | semidirect |
| 192. #395528 | C22 | semidirect |
| 193. #394382 | C22 | semidirect |
| 194. #394382 | C22 | semidirect |
| 195. #394366 | C22 | semidirect |
| 196. #394366 | C22 | semidirect |
| 197. #394356 | C22 | semidirect |
| 198. #394355 | C22 | semidirect |
| 199. #394343 | C22 | semidirect |
| 200. #394343 | C22 | semidirect |
| 201. #394287 | C22 | semidirect |
| 202. #394287 | C22 | semidirect |
| 203. #394265 | C22 | semidirect |
| 204. #394264 | C22 | semidirect |
| 205. #394134 | C22 | semidirect |
| 206. #394133 | C22 | semidirect |
| 207. #394132 | C22 | semidirect |
| 208. #394131 | C22 | semidirect |
| 209. #394129 | C22 | semidirect |
| 210. #394128 | C22 | semidirect |
| 211. #394106 | C22 | semidirect |
| 212. #394106 | C22 | semidirect |
| 213. #394100 | C22 | semidirect |
| 214. #394098 | C22 | semidirect |
| 215. #394054 | C22 | semidirect |
| 216. #394054 | C22 | semidirect |
| 217. #394043 | C22 | semidirect |
| 218. #394043 | C22 | semidirect |
| 219. #394033 | C22 | semidirect |
| 220. #394032 | C22 | semidirect |
| 221. #394024 | C22 | semidirect |
| 222. #394023 | C22 | semidirect |
| 223. #393998 | C22 | semidirect |
| 224. #393998 | C22 | semidirect |
| 225. #393987 | C22 | semidirect |
| 226. #393986 | C22 | semidirect |
| 227. #393908 | C22 | semidirect |
| 228. #393907 | C22 | semidirect |
| 229. #392715 | C22 | semidirect |
| 230. #392714 | C22 | semidirect |
| 231. #392711 | C22 | semidirect |
| 232. #392711 | C22 | semidirect |
| 233. #392703 | C22 | semidirect |
| 234. #392703 | C22 | semidirect |
| 235. #392140 | C22 | semidirect |
| 236. #392140 | C22 | semidirect |
| 237. #392140 | C22 | semidirect |
| 238. #392140 | C22 | semidirect |
| 239. #392138 | C22 | semidirect |
| 240. #392138 | C22 | semidirect |
| 241. #392138 | C22 | semidirect |
| 242. #392136 | C22 | semidirect |
| 243. #374127 | C22 | semidirect |
| 244. #374127 | C22 | semidirect |
| 245. #374021 | C22 | semidirect |
| 246. #374010 | C22 | semidirect |
| 247. #366736 | C22 | semidirect |
| 248. #366734 | C22 | semidirect |
| 249. #366729 | C22 | semidirect |
| 250. #366729 | C22 | semidirect |
| 251. #366701 | C22 | semidirect |
| 252. #366701 | C22 | semidirect |
| 253. #366640 | C22 | semidirect |
| 254. #366639 | C22 | semidirect |
| 255. #366636 | C22 | semidirect |
| 256. #366636 | C22 | semidirect |
| 257. #366624 | C22 | semidirect |
| 258. #366624 | C22 | semidirect |
| 259. #364608 | C22 | semidirect |
| 260. #364608 | C22 | semidirect |
| 261. #364606 | C22 | semidirect |
| 262. #364606 | C22 | semidirect |
| 263. #364599 | C22 | semidirect |
| 264. #364599 | C22 | semidirect |
| 265. #364541 | C22 | semidirect |
| 266. #364541 | C22 | semidirect |
| 267. #364512 | C22 | semidirect |
| 268. #364512 | C22 | semidirect |
| 269. #364504 | C22 | semidirect |
| 270. #364504 | C22 | semidirect |
| 271. #360593 | C22 | semidirect |
| 272. #360593 | C22 | semidirect |
| 273. #360585 | C22 | semidirect |
| 274. #360585 | C22 | semidirect |
| 275. #360561 | C22 | semidirect |
| 276. #360561 | C22 | semidirect |
| 277. #360531 | C22 | semidirect |
| 278. #360531 | C22 | semidirect |
| 279. #359685 | C22 | semidirect |
| 280. #359685 | C22 | semidirect |
| 281. #359682 | C22 | semidirect |
| 282. #359681 | C22 | semidirect |
| 283. #359673 | C22 | semidirect |
| 284. #359673 | C22 | semidirect |
| 285. #359653 | C22 | semidirect |
| 286. #359652 | C22 | semidirect |
| 287. #359620 | C22 | semidirect |
| 288. #359619 | C22 | semidirect |
| 289. #359606 | C22 | semidirect |
| 290. #359605 | C22 | semidirect |
| 291. #359548 | C22 | semidirect |
| 292. #359548 | C22 | semidirect |
| 293. #359529 | C22 | semidirect |
| 294. #359529 | C22 | semidirect |
| 295. #356106 | C22 | semidirect |
| 296. #356106 | C22 | semidirect |
| 297. #356069 | C22 | semidirect |
| 298. #356056 | C22 | semidirect |
| 303. C2×2−1+6 | C23 | semidirect |
| 315. #63090 | C23 | semidirect |
| 316. #63090 | C23 | semidirect |
| 319. C2×#3586 | C23 | semidirect |
| 320. C2×#3586 | C23 | semidirect |
| 321. C2×#3586 | C23 | semidirect |
| 322. C2×#3586 | C23 | semidirect |
| 328. #63076 | C23 | semidirect |
| 330. #62859 | C23 | semidirect |
| 336. #62852 | C23 | semidirect |
| 340. #62812 | C23 | semidirect |
| 342. C2×#3500 | C23 | semidirect |
| 343. C2×#3500 | C23 | semidirect |
| 344. C2×#3499 | C23 | semidirect |
| 348. C4×#585 | C23 | semidirect |
| 349. #60645 | C23 | semidirect |
| 350. C2×#3153 | C23 | semidirect |
| 351. C2×#3152 | C23 | semidirect |
| 352. #60469 | C23 | semidirect |
| 353. #60469 | C23 | semidirect |
| 354. C2×#3069 | C23 | semidirect |
| 355. C2×#3069 | C23 | semidirect |
| 356. #60455 | C23 | semidirect |
| 357. #60455 | C23 | semidirect |
| 358. #60455 | C23 | semidirect |
| 359. #60454 | C23 | semidirect |
| 360. #60415 | C23 | semidirect |
| 361. #60415 | C23 | semidirect |
| 362. C2×#3040 | C23 | semidirect |
| 363. C2×#3039 | C23 | semidirect |
| 364. #60398 | C23 | semidirect |
| 365. #60398 | C23 | semidirect |
| 367. C2×#3028 | C23 | semidirect |
| 368. #60391 | D4 | semidirect |
| 369. #60391 | D4 | semidirect |
| 370. #60390 | D4 | semidirect |
| 371. #60390 | D4 | semidirect |
| 372. #60389 | D4 | semidirect |
| 373. #60389 | D4 | semidirect |
| 374. #60388 | D4 | semidirect |
| 375. #60388 | D4 | semidirect |
| 390. #60387 | C23 | semidirect |
| 391. #60387 | C23 | semidirect |
| 392. #60387 | C23 | semidirect |
| 393. #60387 | C23 | semidirect |
| 394. C2×#3022 | D4 | semidirect |
| 402. C2×#3022 | C23 | semidirect |
| 403. C2×#3022 | C23 | semidirect |
| 404. C2×#3022 | C23 | semidirect |
| 405. C2×#3022 | C23 | semidirect |
| 406. C2×#3022 | C23 | semidirect |
| 407. C2×#3022 | C23 | semidirect |
| 408. C2×#3022 | C23 | semidirect |
| 409. C2×#3021 | D4 | semidirect |
| 415. C2×#3021 | C23 | semidirect |
| 416. C2×#3020 | C23 | semidirect |
| 417. C2×#3020 | C23 | semidirect |
| 418. C2×#3019 | D4 | semidirect |
| 419. C2×#3019 | D4 | semidirect |
| 426. C2×#3019 | C23 | semidirect |
| 427. C2×#3019 | C23 | semidirect |
| 428. C2×#3019 | C23 | semidirect |
| 429. C2×#3018 | D4 | semidirect |
| 430. C2×#3018 | D4 | semidirect |
| 440. C2×#3018 | C23 | semidirect |
| 441. C2×#3018 | C23 | semidirect |
| 442. C2×#3018 | C23 | semidirect |
| 443. C22×#456 | C23 | semidirect |
| 444. C22×#454 | C23 | semidirect |
| 445. C22×#455 | D4 | semidirect |
| 448. C22×#455 | C23 | semidirect |
| 449. C22×#455 | C23 | semidirect |
| 450. C22×#455 | C23 | semidirect |
| 451. C22×#455 | C23 | semidirect |
| 452. C22×#453 | D4 | semidirect |
| 458. #60370 | C23 | semidirect |
| 459. #60370 | C23 | semidirect |
| 460. #60369 | C23 | semidirect |
| 461. #60368 | C23 | semidirect |
| 462. #60368 | C23 | semidirect |
| 463. #60368 | C23 | semidirect |
| 464. #60368 | C23 | semidirect |
| 465. #60367 | C23 | semidirect |
| 466. #60367 | C23 | semidirect |
| 467. #60182 | C23 | semidirect |
| 468. #60182 | C23 | semidirect |
| 469. C4×#575 | C23 | semidirect |
| 470. C4×#575 | C23 | semidirect |
| 471. #60144 | C23 | semidirect |
| 472. #60144 | C23 | semidirect |
| 479. #60093 | C23 | semidirect |
| 480. #60093 | C23 | semidirect |
| 487. C2×#2901 | C23 | semidirect |
| 488. C2×#2901 | C23 | semidirect |
| 489. C2×#2901 | C23 | semidirect |
| 490. C2×#2901 | C23 | semidirect |
| 496. #60076 | C23 | semidirect |
| 497. C2×#2889 | C23 | semidirect |
| 503. C2×#2888 | C23 | semidirect |
| 504. C2×#2888 | C23 | semidirect |
| 505. C2×#2858 | C23 | semidirect |
| 506. #35676 | C23 | semidirect |
| 507. #35676 | C23 | semidirect |
| 509. #35616 | C23 | semidirect |
| 510. #35616 | C23 | semidirect |
| 511. #35327 | C23 | semidirect |
| 512. #35327 | C23 | semidirect |
| 513. #35316 | C23 | semidirect |
| 514. #35272 | C23 | semidirect |
| 515. C4×#532 | C23 | semidirect |
| 516. C4×#532 | C23 | semidirect |
| 517. C2×#2050 | C23 | semidirect |
| 518. C2×#2050 | C23 | semidirect |
| 519. #23525 | C23 | semidirect |
| 520. #23525 | C23 | semidirect |
| 521. C2×#2049 | C23 | semidirect |
| 522. C2×#2048 | C23 | semidirect |
| 523. #23498 | C23 | semidirect |
| 524. #23498 | C23 | semidirect |
| 525. #23494 | C23 | semidirect |
| 526. #23493 | C23 | semidirect |
| 527. #23493 | C23 | semidirect |
| 528. #23493 | C23 | semidirect |
| 529. #23445 | C23 | semidirect |
| 530. #23440 | C23 | semidirect |
| 531. #23440 | C23 | semidirect |
| 532. #23440 | C23 | semidirect |
| 533. #23440 | C23 | semidirect |
| 534. #23439 | C23 | semidirect |
| 535. #23439 | C23 | semidirect |
| 536. #23434 | C23 | semidirect |
| 537. #23434 | C23 | semidirect |
| 538. #23431 | C23 | semidirect |
| 539. #23414 | C23 | semidirect |
| 540. #23414 | C23 | semidirect |
| 541. #23412 | C23 | semidirect |
| 542. #23412 | C23 | semidirect |
| 543. #23412 | C23 | semidirect |
| 544. #23412 | C23 | semidirect |
| 545. C2×#2009 | C23 | semidirect |
| 546. C2×#2009 | C23 | semidirect |
| 547. C2×#2009 | C23 | semidirect |
| 548. C2×#2009 | C23 | semidirect |
| 549. C2×#2008 | C23 | semidirect |
| 550. C2×#2008 | C23 | semidirect |
| 551. #23408 | C23 | semidirect |
| 552. #23408 | C23 | semidirect |
| 553. #23408 | C23 | semidirect |
| 554. #23407 | C23 | semidirect |
| 555. #23406 | C23 | semidirect |
| 556. #23406 | C23 | semidirect |
| 557. #23406 | C23 | semidirect |
| 558. #23403 | C23 | semidirect |
| 559. #23402 | C23 | semidirect |
| 560. #23402 | C23 | semidirect |
| 561. #23402 | C23 | semidirect |
| 562. #23399 | C23 | semidirect |
| 563. #23399 | C23 | semidirect |
| 564. C2×#2005 | C23 | semidirect |
| 565. C2×#2005 | C23 | semidirect |
| 566. C2×#2003 | C23 | semidirect |
| 567. C2×#2003 | C23 | semidirect |
| 568. C2×#2004 | C23 | semidirect |
| 569. C2×#2004 | C23 | semidirect |
| 570. C2×#2004 | C23 | semidirect |
| 571. C2×#2004 | C23 | semidirect |
| 572. C2×#2004 | C23 | semidirect |
| 573. C2×#2002 | C23 | semidirect |
| 574. #21252 | C23 | semidirect |
| 575. #21252 | C23 | semidirect |
| 576. #21250 | C23 | semidirect |
| 577. #21249 | C23 | semidirect |
| 578. #21244 | C23 | semidirect |
| 579. #21244 | C23 | semidirect |
| 580. #21241 | C23 | semidirect |
| 581. #21241 | C23 | semidirect |
| 582. C2×#1967 | C23 | semidirect |
| 583. C2×#1965 | C23 | semidirect |
| 584. C2×#1962 | C23 | semidirect |
| 585. C2×#1962 | C23 | semidirect |
| 586. #21017 | C23 | semidirect |
| 587. #21017 | C23 | semidirect |
| 588. C2×#1915 | C23 | semidirect |
| 589. C2×#1915 | C23 | semidirect |
| 590. #21014 | C23 | semidirect |
| 591. #21014 | C23 | semidirect |
| 592. C2×#1910 | C23 | semidirect |
| 593. C2×#1909 | C23 | semidirect |
| 594. #21006 | C23 | semidirect |
| 595. #21005 | C23 | semidirect |
| 596. C2×#1906 | C23 | semidirect |
| 597. C2×#1906 | C23 | semidirect |
| 598. C2×#1906 | C23 | semidirect |
| 599. C2×#1906 | C23 | semidirect |
| 600. #20998 | C23 | semidirect |
| 601. #20998 | C23 | semidirect |
| 602. #20995 | C23 | semidirect |
| 603. #20995 | C23 | semidirect |
| 604. #20995 | C23 | semidirect |
| 605. #20995 | C23 | semidirect |
| 606. C2×#1903 | C23 | semidirect |
| 607. C2×#1902 | C23 | semidirect |
| 608. C2×#1902 | C23 | semidirect |
| 609. C2×#1902 | C23 | semidirect |
| 610. #20991 | C23 | semidirect |
| 611. #20990 | C23 | semidirect |
| 612. #20990 | C23 | semidirect |
| 613. #20990 | C23 | semidirect |
| 614. #20980 | C23 | semidirect |
| 615. #20980 | C23 | semidirect |
| 616. #20980 | C23 | semidirect |
| 617. #20980 | C23 | semidirect |
| 618. #20964 | C23 | semidirect |
| 619. #20964 | C23 | semidirect |
| 620. #20956 | C23 | semidirect |
| 621. #20955 | C23 | semidirect |
| 622. #20955 | C23 | semidirect |
| 623. #20955 | C23 | semidirect |
| 624. #20952 | C23 | semidirect |
| 625. #20952 | C23 | semidirect |
| 626. C2×#1884 | C23 | semidirect |
| 627. C2×#1884 | C23 | semidirect |
| 628. #20945 | C23 | semidirect |
| 629. #20944 | C23 | semidirect |
| 630. #20944 | C23 | semidirect |
| 631. #20944 | C23 | semidirect |
| 632. #20942 | C23 | semidirect |
| 633. #20942 | C23 | semidirect |
| 634. #20939 | C23 | semidirect |
| 635. #20939 | C23 | semidirect |
| 636. #20939 | C23 | semidirect |
| 637. #20939 | C23 | semidirect |
| 638. #20939 | C23 | semidirect |
| 639. #20939 | C23 | semidirect |
| 640. #20918 | C23 | semidirect |
| 641. #20918 | C23 | semidirect |
| 642. #20903 | C23 | semidirect |
| 643. #20903 | C23 | semidirect |
| 644. #20903 | C23 | semidirect |
| 645. #20903 | C23 | semidirect |
| 646. C2×#1861 | C23 | semidirect |
| 647. C2×#1861 | C23 | semidirect |
| 648. #20863 | C23 | semidirect |
| 649. #20863 | C23 | semidirect |
| 650. #20860 | C23 | semidirect |
| 651. #20860 | C23 | semidirect |
| 652. #20855 | C23 | semidirect |
| 653. #20855 | C23 | semidirect |
| 654. #20675 | C23 | semidirect |
| 655. #20675 | C23 | semidirect |
| 656. #20673 | C23 | semidirect |
| 657. #20673 | C23 | semidirect |
| 658. #20654 | C23 | semidirect |
| 659. #20654 | C23 | semidirect |
| 660. #20637 | C23 | semidirect |
| 661. #20637 | C23 | semidirect |
| 668. #20623 | C23 | semidirect |
| 669. #20623 | C23 | semidirect |
| 670. C2×#1796 | C23 | semidirect |
| 671. C2×#1796 | C23 | semidirect |
| 672. C2×#1795 | C23 | semidirect |
| 673. C2×#1795 | C23 | semidirect |
| 678. #20620 | C23 | semidirect |
| 679. #20620 | C23 | semidirect |
| 680. #20620 | C23 | semidirect |
| 681. #20620 | C23 | semidirect |
| 682. #20620 | C23 | semidirect |
| 683. #20620 | C23 | semidirect |
| 684. #20617 | C23 | semidirect |
| 687. #20616 | C23 | semidirect |
| 688. #20616 | C23 | semidirect |
| 689. #20616 | C23 | semidirect |
| 693. #20615 | C23 | semidirect |
| 694. #20615 | C23 | semidirect |
| 695. #20615 | C23 | semidirect |
| 696. #20615 | C23 | semidirect |
| 697. #20615 | C23 | semidirect |
| 700. #20612 | C23 | semidirect |
| 701. #20612 | C23 | semidirect |
| 702. #20612 | C23 | semidirect |
| 703. #20612 | C23 | semidirect |
| 705. #20608 | C23 | semidirect |
| 709. #20606 | C23 | semidirect |
| 710. #20606 | C23 | semidirect |
| 711. #20606 | C23 | semidirect |
| 712. #20593 | C23 | semidirect |
| 715. #20592 | C23 | semidirect |
| 716. #20592 | C23 | semidirect |
| 718. #20586 | C23 | semidirect |
| 719. #20421 | C23 | semidirect |
| 720. #20421 | C23 | semidirect |
| 721. C2×C4×#104 | C23 | semidirect |
| 722. C2×C4×#104 | C23 | semidirect |
| 723. #20401 | C23 | semidirect |
| 724. #20401 | C23 | semidirect |
| 725. C4×#413 | C23 | semidirect |
| 726. C4×#413 | C23 | semidirect |
| 727. #11179 | C23 | semidirect |
| 728. #11179 | C23 | semidirect |
| 729. #11167 | C23 | semidirect |
| 730. #11159 | C23 | semidirect |
| 731. #11159 | C23 | semidirect |
| 732. #11146 | C23 | semidirect |
| 733. #11146 | C23 | semidirect |
| 734. #11141 | C23 | semidirect |
| 735. #11141 | C23 | semidirect |
| 736. #11139 | C23 | semidirect |
| 737. #11139 | C23 | semidirect |
| 738. #11119 | C23 | semidirect |
| 739. #11119 | C23 | semidirect |
| 740. #11118 | C23 | semidirect |
| 741. #11118 | C23 | semidirect |
| 742. #11116 | C23 | semidirect |
| 743. #11116 | C23 | semidirect |
| 744. #11082 | C23 | semidirect |
| 745. #11082 | C23 | semidirect |
| 746. #11081 | C23 | semidirect |
| 747. #11081 | C23 | semidirect |
| 748. #11080 | C23 | semidirect |
| 749. #11080 | C23 | semidirect |
| 750. #11041 | C23 | semidirect |
| 751. #11041 | C23 | semidirect |
| 752. #11039 | C23 | semidirect |
| 753. #11039 | C23 | semidirect |
| 754. #11037 | C23 | semidirect |
| 755. #11037 | C23 | semidirect |
| 756. #11037 | C23 | semidirect |
| 757. #11037 | C23 | semidirect |
| 758. #11035 | C23 | semidirect |
| 759. #11035 | C23 | semidirect |
| 760. #11035 | C23 | semidirect |
| 761. #11034 | C23 | semidirect |
| 762. #11033 | C23 | semidirect |
| 763. #11033 | C23 | semidirect |
| 764. #11032 | C23 | semidirect |
| 765. #11032 | C23 | semidirect |
| 766. #11032 | C23 | semidirect |
| 767. #11032 | C23 | semidirect |
| 768. #11032 | C23 | semidirect |
| 769. #11032 | C23 | semidirect |
| 770. #11019 | C23 | semidirect |
| 771. #11019 | C23 | semidirect |
| 772. #11015 | C23 | semidirect |
| 773. #11014 | C23 | semidirect |
| 774. #11013 | C23 | semidirect |
| 775. #11012 | C23 | semidirect |
| 776. #11007 | C23 | semidirect |
| 777. #11005 | C23 | semidirect |
| 778. #11004 | C23 | semidirect |
| 779. #11003 | C23 | semidirect |
| 780. #11003 | C23 | semidirect |
| 781. #11000 | C23 | semidirect |
| 782. #11000 | C23 | semidirect |
| 783. #10990 | C23 | semidirect |
| 784. #10989 | C23 | semidirect |
| 785. #10989 | C23 | semidirect |
| 786. #10982 | C23 | semidirect |
| 787. #10979 | C23 | semidirect |
| 788. #10979 | C23 | semidirect |
| 789. #10977 | C23 | semidirect |
| 790. #10975 | C23 | semidirect |
| 791. #10973 | C23 | semidirect |
| 792. #10973 | C23 | semidirect |
| 793. #10959 | C23 | semidirect |
| 794. #10955 | C23 | semidirect |
| 795. #10955 | C23 | semidirect |
| 796. #10946 | C23 | semidirect |
| 797. #10946 | C23 | semidirect |
| 798. #10946 | C23 | semidirect |
| 799. #10946 | C23 | semidirect |
| 800. #10939 | C23 | semidirect |
| 801. #10923 | C23 | semidirect |
| 802. #10794 | C23 | semidirect |
| 803. #10794 | C23 | semidirect |
| 804. #10787 | C23 | semidirect |
| 805. #10787 | C23 | semidirect |
| 806. #10783 | C23 | semidirect |
| 807. #10783 | C23 | semidirect |
| 808. #10780 | C23 | semidirect |
| 809. #10780 | C23 | semidirect |
| 810. #10778 | C23 | semidirect |
| 811. #10778 | C23 | semidirect |
| 812. #10772 | C23 | semidirect |
| 813. #10772 | C23 | semidirect |
| 814. #10771 | C23 | semidirect |
| 815. #10771 | C23 | semidirect |
| 816. #10767 | C23 | semidirect |
| 817. #10767 | C23 | semidirect |
| 818. #10758 | C23 | semidirect |
| 819. #10758 | C23 | semidirect |
| 820. #10756 | C23 | semidirect |
| 821. #10756 | C23 | semidirect |
| 822. #10746 | C23 | semidirect |
| 823. #10746 | C23 | semidirect |
| 824. #10744 | C23 | semidirect |
| 825. #10744 | C23 | semidirect |
| 850. C22×2−1+4 | C24 | semidirect |
| 859. #3586 | C2×D4 | semidirect |
| 860. #3586 | C2×D4 | semidirect |
| 861. #3585 | C2×D4 | semidirect |
| 862. #3585 | C2×D4 | semidirect |
| 879. C2×#575 | C24 | semidirect |
| 880. C2×#575 | C24 | semidirect |
| 889. C22×#137 | C24 | semidirect |
| 890. C22×#137 | C24 | semidirect |
| 891. C22×#137 | C24 | semidirect |
| 896. C22×AGL(1,ℤ/8) | C24 | semidirect |
| 905. C2×#568 | C24 | semidirect |
| 906. C2×#568 | C24 | semidirect |
| 907. #3500 | C2×D4 | semidirect |
| 908. #3500 | C2×D4 | semidirect |
| 909. #3500 | C2×D4 | semidirect |
| 910. #3500 | C2×D4 | semidirect |
| 911. #3499 | C2×D4 | semidirect |
| 912. #3499 | C2×D4 | semidirect |
| 913. #3498 | C2×D4 | semidirect |
| 914. #3498 | C2×D4 | semidirect |
| 921. #3449 | C24 | semidirect |
| 928. C2×#536 | C24 | semidirect |
| 938. C2×#535 | C24 | semidirect |
| 945. C22×C4⋊Q8 | C24 | semidirect |
| 951. C22×#124 | C24 | semidirect |
| 952. C22×#124 | C24 | semidirect |
| 961. C2×C4×#41 | C24 | semidirect |
| 962. C2×C4×#41 | C24 | semidirect |
| 965. #3022 | C2×D4 | semidirect |
| 966. #3022 | C2×D4 | semidirect |
| 969. #3021 | C2×D4 | semidirect |
| 970. #3021 | C2×D4 | semidirect |
| 971. #3020 | C2×D4 | semidirect |
| 972. #3020 | C2×D4 | semidirect |
| 973. #3019 | C2×D4 | semidirect |
| 974. #3019 | C2×D4 | semidirect |
| 979. #3018 | C2×D4 | semidirect |
| 980. #3018 | C2×D4 | semidirect |
| 981. #3018 | C2×D4 | semidirect |
| 982. #3018 | C2×D4 | semidirect |
| 989. C2×#456 | C2×D4 | semidirect |
| 990. C2×#456 | C2×D4 | semidirect |
| 997. C2×#454 | C2×D4 | semidirect |
| 998. C2×#454 | C2×D4 | semidirect |
| 1009. C2×#455 | C2×D4 | semidirect |
| 1010. C2×#455 | C2×D4 | semidirect |
| 1021. C2×#453 | C2×D4 | semidirect |
| 1022. C2×#453 | C2×D4 | semidirect |
| 1023. C2×#430 | C24 | semidirect |
| 1024. C2×#430 | C24 | semidirect |
| 1025. #2911 | C24 | semidirect |
| 1026. #2911 | C24 | semidirect |
| 1027. C2×#423 | C24 | semidirect |
| 1028. C2×#423 | C24 | semidirect |
| 1029. #2901 | C2×D4 | semidirect |
| 1030. #2901 | C2×D4 | semidirect |
| 1031. #2901 | C2×D4 | semidirect |
| 1032. #2901 | C2×D4 | semidirect |
| 1057. C2×#421 | C24 | semidirect |
| 1058. C2×#421 | C24 | semidirect |
| 1059. C2×#421 | C24 | semidirect |
| 1060. C2×#421 | C24 | semidirect |
| 1061. C2×#421 | C24 | semidirect |
| 1062. C2×#421 | C24 | semidirect |
| 1075. C22×#104 | C24 | semidirect |
| 1076. C22×#104 | C24 | semidirect |
| 1077. C22×#104 | C24 | semidirect |
| 1078. C22×#104 | C24 | semidirect |
| 1087. #2896 | C24 | semidirect |
| 1088. #2896 | C24 | semidirect |
| 1089. #2896 | C24 | semidirect |
| 1090. #2896 | C24 | semidirect |
| 1091. C2×#419 | C24 | semidirect |
| 1092. C2×#419 | C24 | semidirect |
| 1093. C2×#419 | C24 | semidirect |
| 1094. C2×#419 | C24 | semidirect |
| 1095. C2×#418 | C24 | semidirect |
| 1096. C2×#418 | C24 | semidirect |
| 1097. #2889 | C2×D4 | semidirect |
| 1098. #2889 | C2×D4 | semidirect |
| 1099. #2888 | C2×D4 | semidirect |
| 1100. #2888 | C2×D4 | semidirect |
| 1119. C2×#413 | C24 | semidirect |
| 1120. C2×#413 | C24 | semidirect |
| 1121. C22×#101 | C24 | semidirect |
| 1122. C22×#101 | C24 | semidirect |
| 1123. C22×#101 | C24 | semidirect |
| 1132. C22×#100 | C24 | semidirect |
| 1133. C22×#100 | C24 | semidirect |
| 1138. C2×#410 | C24 | semidirect |
| 1139. C2×#410 | C24 | semidirect |
| 1144. #2879 | C24 | semidirect |
| 1145. #2879 | C24 | semidirect |
| 1146. #2879 | C24 | semidirect |
| 1147. #2879 | C24 | semidirect |
| 1148. #2873 | C24 | semidirect |
| 1149. C2×C4×M16 | C24 | semidirect |
| 1150. C2×C4×M16 | C24 | semidirect |
| 1151. #2310 | C24 | semidirect |
| 1152. #2310 | C24 | semidirect |
| 1155. #2309 | C24 | semidirect |
| 1159. #2297 | C24 | semidirect |
| 1160. #2297 | C24 | semidirect |
| 1161. #2285 | C24 | semidirect |
| 1162. #2285 | C24 | semidirect |
| 1163. C2×C43 | C24 | semidirect |
| 1164. C2×#344 | C24 | semidirect |
| 1165. C2×#344 | C24 | semidirect |
| 1166. C2×#344 | C24 | semidirect |
| 1167. C2×#344 | C24 | semidirect |
| 1168. C2×#344 | C24 | semidirect |
| 1169. C2×#344 | C24 | semidirect |
| 1170. C2×#344 | C24 | semidirect |
| 1171. C2×#344 | C24 | semidirect |
| 1172. #1742 | C24 | semidirect |
| 1173. #1742 | C24 | semidirect |
| 1174. #1742 | C24 | semidirect |
| 1175. #1742 | C24 | semidirect |
| 1176. #1742 | C24 | semidirect |
| 1177. #1740 | C24 | semidirect |
| 1178. #1738 | C24 | semidirect |
| 1179. #1738 | C24 | semidirect |
| 1180. #1738 | C24 | semidirect |
| 1181. #1738 | C24 | semidirect |
| 1182. #1733 | C24 | semidirect |
| 1183. #1733 | C24 | semidirect |
| 1184. #1733 | C24 | semidirect |
| 1185. #1733 | C24 | semidirect |
| 1186. C2×#339 | C24 | semidirect |
| 1187. C2×#339 | C24 | semidirect |
| 1188. C2×#339 | C24 | semidirect |
| 1189. C2×#339 | C24 | semidirect |
| 1190. C2×#339 | C24 | semidirect |
| 1191. C2×#339 | C24 | semidirect |
| 1192. C2×#338 | C24 | semidirect |
| 1193. C2×#338 | C24 | semidirect |
| 1194. C2×H(3,ℤ/4) | C24 | semidirect |
| 1195. C2×H(3,ℤ/4) | C24 | semidirect |
| 1196. #1728 | C24 | semidirect |
| 1212. C2×2−1+4 | C22×D4 | semidirect |
| 1227. C2×H(5,𝔽2) | C22×D4 | semidirect |
| 1260. #575 | C22×D4 | semidirect |
| 1270. C2×#137 | C22×D4 | semidirect |
| 1280. C2×AGL(1,ℤ/8) | C22×D4 | semidirect |
| 1282. #568 | C22×D4 | semidirect |
| 1298. #536 | C22×D4 | semidirect |
| 1302. #535 | C22×D4 | semidirect |
| 1311. C2×C4⋊Q8 | C22×D4 | semidirect |
| 1320. C2×#127 | C22×D4 | semidirect |
| 1333. C2×#124 | C22×D4 | semidirect |
| 1334. C2×#124 | C22×D4 | semidirect |
| 1337. C4×#41 | C22×D4 | semidirect |
| 1338. C4×#41 | C22×D4 | semidirect |
| 1368. #421 | C22×D4 | semidirect |
| 1387. C2×#104 | C22×D4 | semidirect |
| 1388. C2×#104 | C22×D4 | semidirect |
| 1398. C2×#101 | C22×D4 | semidirect |
| 1406. C2×#100 | C22×D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.