Order 2048.
At least 6316 conjugacy classes of subgroups; only the 32808 normal subgroups are shown.
The subgroup lattice has 1832 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, socle | C25 | C26 |
| commutator, Frattini, cosocle | C24 | C27 |
| LCS | G ▷ C24 ▷ C1 | |
| UCS | C1 ◁ C25 ◁ G | |
| LECS | G ▷ C24 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#2927826 | C2 | semidirect |
| 2. C2×#4606857 | C2 | semidirect |
| 3. C2×#4319989 | C2 | semidirect |
| 4. C2×#850487 | C2 | semidirect |
| 5. C2×#1605671 | C2 | semidirect |
| 6. C2×#1425173 | C2 | semidirect |
| 7. C2×#2109341 | C2 | semidirect |
| 8. C2×#1986941 | C2 | semidirect |
| 9. C2×#4327960 | C2 | semidirect |
| 10. C2×#1506686 | C2 | semidirect |
| 11. C2×#1115187 | C2 | semidirect |
| 12. C2×#1506909 | C2 | semidirect |
| 13. C22×#51902 | C2 | semidirect |
| 14. C2×#4311734 | C2 | semidirect |
| 15. C2×#2032000 | C2 | semidirect |
| 16. C2×#1083597 | C2 | semidirect |
| 17. C2×#619112 | C2 | semidirect |
| 18. C2×#2076511 | C2 | semidirect |
| 19. C2×#4940663 | C2 | semidirect |
| 20. C2×#845341 | C2 | semidirect |
| 21. C22×#35222 | C2 | semidirect |
| 22. #72232365 | C2 | direct (N × H) |
| 23. C2×#581603 | C2 | semidirect |
| 24. C2×#612424 | C2 | semidirect |
| 26. C23×H(3,𝔽4) | C22 | semidirect |
| 28. C23×#535 | C22 | semidirect |
| 29. C23×#525 | C22 | semidirect |
| 30. C24×#120 | C22 | semidirect |
| 31. C2×#51902 | C22 | semidirect |
| 32. C22×#2670 | C22 | semidirect |
| 33. C22×#2733 | C22 | semidirect |
| 34. C22×#2669 | C22 | semidirect |
| 35. C22×#2669 | C22 | semidirect |
| 36. C22×#2669 | C22 | semidirect |
| 37. C22×#2669 | C22 | semidirect |
| 38. C22×#2684 | C22 | semidirect |
| 40. C22×#2846 | C22 | semidirect |
| 41. C2×#35222 | C22 | semidirect |
| 42. C22×#2610 | C22 | semidirect |
| 43. C22×#2555 | C22 | semidirect |
| 44. C22×#2543 | C22 | semidirect |
| 45. C22×#2431 | C22 | semidirect |
| 47. C22×#2435 | C22 | semidirect |
| 49. C22×#2433 | C22 | semidirect |
| 50. C22×#2433 | C22 | semidirect |
| 51. C22×#2408 | C22 | semidirect |
| 52. C22×#2408 | C22 | semidirect |
| 53. C22×#2408 | C22 | semidirect |
| 54. C22×#2424 | C22 | semidirect |
| 57. C22×#2403 | C22 | semidirect |
| 58. C22×#2403 | C22 | semidirect |
| 59. C22×#2657 | C22 | semidirect |
| 60. C22×#2635 | C22 | semidirect |
| 61. C22×#2613 | C22 | semidirect |
| 62. C22×#2372 | C22 | semidirect |
| 63. C22×#2328 | C22 | semidirect |
| 65. C22×#2309 | C22 | semidirect |
| 66. C22×#2280 | C22 | semidirect |
| 67. #4940663 | C22 | semidirect |
| 68. #4606857 | C22 | semidirect |
| 69. #4327960 | C22 | semidirect |
| 70. #4319989 | C22 | semidirect |
| 71. #4311734 | C22 | semidirect |
| 72. #2927826 | C22 | semidirect |
| 73. #2109341 | C22 | semidirect |
| 74. #2076511 | C22 | semidirect |
| 75. #2032000 | C22 | semidirect |
| 76. #1986941 | C22 | semidirect |
| 77. #1605671 | C22 | semidirect |
| 78. #1506909 | C22 | semidirect |
| 79. #1506686 | C22 | semidirect |
| 80. #1425173 | C22 | semidirect |
| 81. #1115187 | C22 | semidirect |
| 82. #1083597 | C22 | semidirect |
| 83. #850487 | C22 | semidirect |
| 84. #845341 | C22 | semidirect |
| 85. C2×#17095 | C22 | semidirect |
| 86. C2×#17086 | C22 | semidirect |
| 87. C2×#17083 | C22 | semidirect |
| 88. C2×#17082 | C22 | semidirect |
| 89. #619112 | C22 | semidirect |
| 90. #612424 | C22 | semidirect |
| 91. C2×#16680 | C22 | semidirect |
| 92. C2×#16587 | C22 | semidirect |
| 93. C2×#16551 | C22 | semidirect |
| 94. C2×#16530 | C22 | semidirect |
| 95. C2×#16526 | C22 | semidirect |
| 96. C2×#16520 | C22 | semidirect |
| 97. C2×#16516 | C22 | semidirect |
| 98. C2×#16512 | C22 | semidirect |
| 99. C2×#16512 | C22 | semidirect |
| 100. C2×#16509 | C22 | semidirect |
| 101. C2×#16502 | C22 | semidirect |
| 102. C2×#16500 | C22 | semidirect |
| 103. C2×#16391 | C22 | semidirect |
| 104. C2×#16372 | C22 | semidirect |
| 105. C2×#16297 | C22 | semidirect |
| 106. C2×#16284 | C22 | semidirect |
| 107. C2×#16284 | C22 | semidirect |
| 108. C2×#16274 | C22 | semidirect |
| 109. C2×#16258 | C22 | semidirect |
| 110. C2×#16255 | C22 | semidirect |
| 111. C2×#16255 | C22 | semidirect |
| 112. C2×#16252 | C22 | semidirect |
| 113. C2×#16249 | C22 | semidirect |
| 114. C2×#16249 | C22 | semidirect |
| 115. C2×#16249 | C22 | semidirect |
| 116. C2×#16249 | C22 | semidirect |
| 117. C2×#16249 | C22 | semidirect |
| 118. C2×#16249 | C22 | semidirect |
| 119. C2×#16249 | C22 | semidirect |
| 120. C2×#16249 | C22 | semidirect |
| 121. C2×#16094 | C22 | semidirect |
| 122. C2×#16094 | C22 | semidirect |
| 123. C2×#16074 | C22 | semidirect |
| 124. C2×#15930 | C22 | semidirect |
| 125. C2×#15763 | C22 | semidirect |
| 126. C2×#15763 | C22 | semidirect |
| 127. C2×#15702 | C22 | semidirect |
| 128. C2×#15662 | C22 | semidirect |
| 129. C2×#15662 | C22 | semidirect |
| 130. C2×#15634 | C22 | semidirect |
| 131. C2×#15630 | C22 | semidirect |
| 132. C2×#15630 | C22 | semidirect |
| 133. C2×#15565 | C22 | semidirect |
| 134. C2×#15561 | C22 | semidirect |
| 135. C2×#15556 | C22 | semidirect |
| 136. C2×#15467 | C22 | semidirect |
| 137. C2×#15466 | C22 | semidirect |
| 138. C2×#15465 | C22 | semidirect |
| 139. C2×#15464 | C22 | semidirect |
| 140. C2×#15450 | C22 | semidirect |
| 141. C2×#15423 | C22 | semidirect |
| 142. C2×#15423 | C22 | semidirect |
| 143. C2×#15387 | C22 | semidirect |
| 144. C2×#15342 | C22 | semidirect |
| 145. C2×#15320 | C22 | semidirect |
| 146. C2×#15314 | C22 | semidirect |
| 147. C2×#15314 | C22 | semidirect |
| 148. C2×#15314 | C22 | semidirect |
| 149. C2×#15310 | C22 | semidirect |
| 150. C2×#15310 | C22 | semidirect |
| 151. C2×#15310 | C22 | semidirect |
| 152. C2×#15307 | C22 | semidirect |
| 153. C2×#15297 | C22 | semidirect |
| 154. C2×#15284 | C22 | semidirect |
| 155. C2×#15283 | C22 | semidirect |
| 156. C2×#15283 | C22 | semidirect |
| 157. C2×#15282 | C22 | semidirect |
| 158. C2×#15281 | C22 | semidirect |
| 159. C2×#15281 | C22 | semidirect |
| 160. C2×#15278 | C22 | semidirect |
| 161. C2×#15273 | C22 | semidirect |
| 162. C2×#15270 | C22 | semidirect |
| 163. C2×#15268 | C22 | semidirect |
| 164. C2×#15268 | C22 | semidirect |
| 165. C2×#15268 | C22 | semidirect |
| 167. C2×#15267 | C22 | semidirect |
| 168. C2×#15267 | C22 | semidirect |
| 169. C2×#15267 | C22 | semidirect |
| 170. C2×#15266 | C22 | semidirect |
| 171. C2×#15264 | C22 | semidirect |
| 172. C2×#15264 | C22 | semidirect |
| 173. C2×#15263 | C22 | semidirect |
| 174. C2×#15261 | C22 | semidirect |
| 175. C2×#15259 | C22 | semidirect |
| 176. C2×#15259 | C22 | semidirect |
| 177. C2×#15259 | C22 | semidirect |
| 179. C2×#15258 | C22 | semidirect |
| 180. C2×#15257 | C22 | semidirect |
| 181. C2×#15257 | C22 | semidirect |
| 182. C2×#15257 | C22 | semidirect |
| 183. C2×#15257 | C22 | semidirect |
| 184. C2×#15257 | C22 | semidirect |
| 185. C2×#15159 | C22 | semidirect |
| 186. C2×#15159 | C22 | semidirect |
| 187. C2×#15120 | C22 | semidirect |
| 188. C2×#15113 | C22 | semidirect |
| 189. C2×#14996 | C22 | semidirect |
| 190. C2×#14922 | C22 | semidirect |
| 191. C2×#14915 | C22 | semidirect |
| 192. C2×#14900 | C22 | semidirect |
| 193. C2×#14888 | C22 | semidirect |
| 194. C2×#14811 | C22 | semidirect |
| 195. C2×#14757 | C22 | semidirect |
| 196. C2×#14750 | C22 | semidirect |
| 197. C2×#14739 | C22 | semidirect |
| 198. C2×#14725 | C22 | semidirect |
| 199. C2×#14724 | C22 | semidirect |
| 200. C2×#14716 | C22 | semidirect |
| 204. C2×#14715 | C22 | semidirect |
| 205. C2×#14715 | C22 | semidirect |
| 206. C2×#14715 | C22 | semidirect |
| 207. C2×#14715 | C22 | semidirect |
| 208. C2×#14715 | C22 | semidirect |
| 209. C2×#14715 | C22 | semidirect |
| 210. C2×#14694 | C22 | semidirect |
| 211. C2×#14679 | C22 | semidirect |
| 212. #581603 | C22 | semidirect |
| 213. C2×#14662 | C22 | semidirect |
| 214. C2×#14473 | C22 | semidirect |
| 215. C2×#14419 | C22 | semidirect |
| 216. C2×#14415 | C22 | semidirect |
| 217. C2×#14407 | C22 | semidirect |
| 218. C2×#14397 | C22 | semidirect |
| 219. C2×#14366 | C22 | semidirect |
| 220. C2×#14363 | C22 | semidirect |
| 221. C2×#14358 | C22 | semidirect |
| 222. C2×#14358 | C22 | semidirect |
| 223. C2×#14358 | C22 | semidirect |
| 224. C2×#14357 | C22 | semidirect |
| 225. C2×#14357 | C22 | semidirect |
| 226. C2×#14357 | C22 | semidirect |
| 227. C2×#14299 | C22 | semidirect |
| 228. C2×#14169 | C22 | semidirect |
| 229. C2×#14082 | C22 | semidirect |
| 230. C2×#14066 | C22 | semidirect |
| 231. C2×#14023 | C22 | semidirect |
| 232. C2×#13971 | C22 | semidirect |
| 233. C2×#13967 | C22 | semidirect |
| 234. C2×#13957 | C22 | semidirect |
| 235. C2×#13956 | C22 | semidirect |
| 236. C2×#13940 | C22 | semidirect |
| 237. C2×#13873 | C22 | semidirect |
| 240. C2×#13867 | C22 | semidirect |
| 241. C2×#13867 | C22 | semidirect |
| 242. C2×#13784 | C22 | semidirect |
| 255. C22×H(3,𝔽4) | C23 | semidirect |
| 256. C22×#535 | D4 | semidirect |
| 258. C22×#535 | C23 | semidirect |
| 263. C23×#127 | C23 | semidirect |
| 267. C23×#124 | C23 | semidirect |
| 268. C23×#124 | C23 | semidirect |
| 269. C23×#124 | C23 | semidirect |
| 270. C23×#124 | C23 | semidirect |
| 271. C22×#525 | C23 | semidirect |
| 278. C23×#121 | C23 | semidirect |
| 279. C23×#121 | C23 | semidirect |
| 280. C23×#121 | C23 | semidirect |
| 281. C23×#121 | C23 | semidirect |
| 302. C23×#120 | C23 | semidirect |
| 303. C23×#120 | C23 | semidirect |
| 304. C23×#120 | C23 | semidirect |
| 307. C23×C4×D4 | C23 | semidirect |
| 313. C2×#2733 | C23 | semidirect |
| 314. C2×#2684 | C23 | semidirect |
| 315. C2×#2670 | C23 | semidirect |
| 316. C2×#2669 | C23 | semidirect |
| 317. C2×#2669 | C23 | semidirect |
| 318. C2×#2669 | C23 | semidirect |
| 319. C2×#2669 | C23 | semidirect |
| 321. C2×#2846 | C23 | semidirect |
| 322. C2×#2610 | C23 | semidirect |
| 323. C2×#2555 | C23 | semidirect |
| 324. C2×#2543 | C23 | semidirect |
| 325. C2×#2431 | C23 | semidirect |
| 327. C2×#2435 | C23 | semidirect |
| 329. C2×#2433 | C23 | semidirect |
| 330. C2×#2433 | C23 | semidirect |
| 331. C2×#2408 | C23 | semidirect |
| 332. C2×#2408 | C23 | semidirect |
| 333. C2×#2408 | C23 | semidirect |
| 334. C2×#2424 | C23 | semidirect |
| 337. C2×#2403 | C23 | semidirect |
| 338. C2×#2403 | C23 | semidirect |
| 339. C2×#2657 | C23 | semidirect |
| 340. C2×#2635 | C23 | semidirect |
| 341. C2×#2613 | C23 | semidirect |
| 342. C22×#400 | C23 | semidirect |
| 344. C22×#398 | C23 | semidirect |
| 346. C22×#397 | C23 | semidirect |
| 347. C22×#397 | C23 | semidirect |
| 349. C22×#395 | C23 | semidirect |
| 358. C22×#394 | C23 | semidirect |
| 359. C22×#394 | C23 | semidirect |
| 360. C22×#394 | C23 | semidirect |
| 361. C22×#394 | C23 | semidirect |
| 362. C22×#394 | C23 | semidirect |
| 363. C22×#394 | C23 | semidirect |
| 364. C22×#394 | C23 | semidirect |
| 365. C22×#394 | C23 | semidirect |
| 366. C22×#394 | C23 | semidirect |
| 367. C22×#394 | C23 | semidirect |
| 368. C22×#394 | C23 | semidirect |
| 369. C22×#394 | C23 | semidirect |
| 370. C22×#394 | C23 | semidirect |
| 371. C22×#394 | C23 | semidirect |
| 374. C22×#393 | C23 | semidirect |
| 375. C22×#393 | C23 | semidirect |
| 400. C22×#392 | C23 | semidirect |
| 401. C22×#392 | C23 | semidirect |
| 402. C22×#392 | C23 | semidirect |
| 403. C22×#392 | C23 | semidirect |
| 404. C22×#392 | C23 | semidirect |
| 405. C22×#392 | C23 | semidirect |
| 406. C22×#392 | C23 | semidirect |
| 407. C22×#392 | C23 | semidirect |
| 408. C22×#392 | C23 | semidirect |
| 409. C22×#392 | C23 | semidirect |
| 410. C22×#392 | C23 | semidirect |
| 411. C22×#392 | C23 | semidirect |
| 412. C22×#392 | C23 | semidirect |
| 413. C22×#392 | C23 | semidirect |
| 414. C22×#392 | C23 | semidirect |
| 415. C2×#2372 | C23 | semidirect |
| 416. C2×#2328 | C23 | semidirect |
| 418. C2×#2309 | C23 | semidirect |
| 419. C22×#391 | C23 | semidirect |
| 431. C22×#390 | C23 | semidirect |
| 432. C22×#390 | C23 | semidirect |
| 433. C22×#390 | C23 | semidirect |
| 434. C22×#390 | C23 | semidirect |
| 436. C22×#388 | C23 | semidirect |
| 437. C22×#388 | C23 | semidirect |
| 438. C22×#388 | C23 | semidirect |
| 439. C22×#388 | C23 | semidirect |
| 440. C22×#388 | C23 | semidirect |
| 441. C22×#388 | C23 | semidirect |
| 442. C22×#388 | C23 | semidirect |
| 443. C22×#388 | C23 | semidirect |
| 444. C22×#388 | C23 | semidirect |
| 445. C22×#388 | C23 | semidirect |
| 446. C22×#388 | C23 | semidirect |
| 447. C22×#388 | C23 | semidirect |
| 463. C22×#386 | C23 | semidirect |
| 464. C22×#386 | C23 | semidirect |
| 465. C22×#386 | C23 | semidirect |
| 466. C22×#386 | C23 | semidirect |
| 467. C22×#386 | C23 | semidirect |
| 468. C22×#386 | C23 | semidirect |
| 469. C22×#386 | C23 | semidirect |
| 470. C22×#386 | C23 | semidirect |
| 471. C22×#386 | C23 | semidirect |
| 472. C22×#386 | C23 | semidirect |
| 473. C22×#386 | C23 | semidirect |
| 474. C22×#385 | C23 | semidirect |
| 475. C22×#382 | C23 | semidirect |
| 476. C2×#2280 | C23 | semidirect |
| 478. C22×#381 | C23 | semidirect |
| 480. C22×#380 | C23 | semidirect |
| 502. C22×#379 | C23 | semidirect |
| 503. C22×#379 | C23 | semidirect |
| 506. C22×C4×C22⋊C4 | C23 | semidirect |
| 507. C22×C4×C22⋊C4 | C23 | semidirect |
| 508. C22×#376 | C23 | semidirect |
| 509. C22×#376 | C23 | semidirect |
| 510. C23×#95 | C23 | semidirect |
| 511. #17095 | C23 | semidirect |
| 512. #17086 | C23 | semidirect |
| 513. #17083 | C23 | semidirect |
| 514. #17082 | C23 | semidirect |
| 515. #16680 | C23 | semidirect |
| 516. #16587 | C23 | semidirect |
| 517. #16551 | C23 | semidirect |
| 518. #16530 | C23 | semidirect |
| 519. #16526 | C23 | semidirect |
| 520. #16520 | C23 | semidirect |
| 521. #16516 | C23 | semidirect |
| 522. #16512 | C23 | semidirect |
| 523. #16512 | C23 | semidirect |
| 524. #16509 | C23 | semidirect |
| 525. #16502 | C23 | semidirect |
| 526. #16500 | C23 | semidirect |
| 527. #16391 | C23 | semidirect |
| 528. #16372 | C23 | semidirect |
| 529. #16297 | C23 | semidirect |
| 530. #16284 | C23 | semidirect |
| 531. #16284 | C23 | semidirect |
| 532. #16274 | C23 | semidirect |
| 533. #16258 | C23 | semidirect |
| 534. #16255 | C23 | semidirect |
| 535. #16255 | C23 | semidirect |
| 536. #16252 | C23 | semidirect |
| 537. #16249 | C23 | semidirect |
| 538. #16249 | C23 | semidirect |
| 539. #16249 | C23 | semidirect |
| 540. #16249 | C23 | semidirect |
| 541. #16249 | C23 | semidirect |
| 542. #16249 | C23 | semidirect |
| 543. #16249 | C23 | semidirect |
| 544. #16249 | C23 | semidirect |
| 545. #16094 | C23 | semidirect |
| 546. #16094 | C23 | semidirect |
| 547. #16074 | C23 | semidirect |
| 548. #15930 | C23 | semidirect |
| 549. #15763 | C23 | semidirect |
| 550. #15763 | C23 | semidirect |
| 551. #15702 | C23 | semidirect |
| 552. #15662 | C23 | semidirect |
| 553. #15662 | C23 | semidirect |
| 554. #15634 | C23 | semidirect |
| 555. #15630 | C23 | semidirect |
| 556. #15630 | C23 | semidirect |
| 557. #15565 | C23 | semidirect |
| 558. #15561 | C23 | semidirect |
| 559. #15556 | C23 | semidirect |
| 560. #15467 | C23 | semidirect |
| 561. #15466 | C23 | semidirect |
| 562. #15465 | C23 | semidirect |
| 563. #15464 | C23 | semidirect |
| 564. #15450 | C23 | semidirect |
| 565. #15423 | C23 | semidirect |
| 566. #15423 | C23 | semidirect |
| 567. #15387 | C23 | semidirect |
| 568. #15342 | C23 | semidirect |
| 569. #15320 | C23 | semidirect |
| 570. #15314 | C23 | semidirect |
| 571. #15314 | C23 | semidirect |
| 572. #15314 | C23 | semidirect |
| 573. #15310 | C23 | semidirect |
| 574. #15310 | C23 | semidirect |
| 575. #15310 | C23 | semidirect |
| 576. #15307 | C23 | semidirect |
| 577. #15297 | C23 | semidirect |
| 578. #15284 | C23 | semidirect |
| 579. #15283 | C23 | semidirect |
| 580. #15283 | C23 | semidirect |
| 581. #15282 | C23 | semidirect |
| 582. #15281 | C23 | semidirect |
| 583. #15281 | C23 | semidirect |
| 584. #15278 | C23 | semidirect |
| 585. #15273 | C23 | semidirect |
| 586. #15270 | C23 | semidirect |
| 587. #15268 | C23 | semidirect |
| 588. #15268 | C23 | semidirect |
| 589. #15268 | C23 | semidirect |
| 591. #15267 | C23 | semidirect |
| 592. #15267 | C23 | semidirect |
| 593. #15267 | C23 | semidirect |
| 594. #15266 | C23 | semidirect |
| 595. #15264 | C23 | semidirect |
| 596. #15264 | C23 | semidirect |
| 597. #15263 | C23 | semidirect |
| 598. #15261 | C23 | semidirect |
| 599. #15259 | C23 | semidirect |
| 600. #15259 | C23 | semidirect |
| 601. #15259 | C23 | semidirect |
| 603. #15258 | C23 | semidirect |
| 604. #15257 | C23 | semidirect |
| 605. #15257 | C23 | semidirect |
| 606. #15257 | C23 | semidirect |
| 607. #15257 | C23 | semidirect |
| 608. #15257 | C23 | semidirect |
| 609. #15159 | C23 | semidirect |
| 610. #15159 | C23 | semidirect |
| 611. #15120 | C23 | semidirect |
| 612. #15113 | C23 | semidirect |
| 613. #14996 | C23 | semidirect |
| 614. #14922 | C23 | semidirect |
| 615. #14915 | C23 | semidirect |
| 616. #14900 | C23 | semidirect |
| 617. #14888 | C23 | semidirect |
| 618. #14811 | C23 | semidirect |
| 619. #14757 | C23 | semidirect |
| 620. #14750 | C23 | semidirect |
| 621. #14739 | C23 | semidirect |
| 622. #14725 | C23 | semidirect |
| 623. #14724 | C23 | semidirect |
| 624. #14716 | C23 | semidirect |
| 628. #14715 | C23 | semidirect |
| 629. #14715 | C23 | semidirect |
| 630. #14715 | C23 | semidirect |
| 631. #14715 | C23 | semidirect |
| 632. #14715 | C23 | semidirect |
| 633. #14715 | C23 | semidirect |
| 634. #14694 | C23 | semidirect |
| 635. #14679 | C23 | semidirect |
| 636. #14662 | C23 | semidirect |
| 637. #14473 | C23 | semidirect |
| 638. #14419 | C23 | semidirect |
| 639. #14415 | C23 | semidirect |
| 640. #14407 | C23 | semidirect |
| 641. #14397 | C23 | semidirect |
| 642. #14366 | C23 | semidirect |
| 643. #14363 | C23 | semidirect |
| 644. #14358 | C23 | semidirect |
| 645. #14358 | C23 | semidirect |
| 646. #14358 | C23 | semidirect |
| 647. #14357 | C23 | semidirect |
| 648. #14357 | C23 | semidirect |
| 649. #14357 | C23 | semidirect |
| 650. #14299 | C23 | semidirect |
| 651. #14169 | C23 | semidirect |
| 652. #14082 | C23 | semidirect |
| 653. #14066 | C23 | semidirect |
| 654. #14023 | C23 | semidirect |
| 655. #13971 | C23 | semidirect |
| 656. #13967 | C23 | semidirect |
| 657. #13957 | C23 | semidirect |
| 658. #13956 | C23 | semidirect |
| 659. #13940 | C23 | semidirect |
| 660. #13873 | C23 | semidirect |
| 663. #13867 | C23 | semidirect |
| 664. #13867 | C23 | semidirect |
| 665. C2×#1446 | C23 | semidirect |
| 666. C2×#1446 | C23 | semidirect |
| 667. C2×#1446 | C23 | semidirect |
| 668. C2×#1445 | C23 | semidirect |
| 669. C2×#1444 | C23 | semidirect |
| 670. C2×#1444 | C23 | semidirect |
| 671. C2×#1443 | C23 | semidirect |
| 672. C2×#1443 | C23 | semidirect |
| 673. C2×#1442 | C23 | semidirect |
| 674. C2×#1442 | C23 | semidirect |
| 675. C2×#1442 | C23 | semidirect |
| 676. C2×#1441 | C23 | semidirect |
| 677. C2×#1441 | C23 | semidirect |
| 678. C2×#1441 | C23 | semidirect |
| 679. C2×#1441 | C23 | semidirect |
| 685. C2×#1440 | C23 | semidirect |
| 686. C2×#1440 | C23 | semidirect |
| 687. C2×#1440 | C23 | semidirect |
| 688. C2×#1440 | C23 | semidirect |
| 689. C2×#1440 | C23 | semidirect |
| 690. C2×#1440 | C23 | semidirect |
| 691. C2×#1440 | C23 | semidirect |
| 692. C2×#1440 | C23 | semidirect |
| 693. C2×#1440 | C23 | semidirect |
| 694. C2×#1440 | C23 | semidirect |
| 695. C2×#1440 | C23 | semidirect |
| 696. C2×#1440 | C23 | semidirect |
| 697. C2×#1440 | C23 | semidirect |
| 698. C2×#1440 | C23 | semidirect |
| 699. C2×#1440 | C23 | semidirect |
| 700. C2×#1440 | C23 | semidirect |
| 701. C2×#1440 | C23 | semidirect |
| 708. C2×#1439 | C23 | semidirect |
| 709. C2×#1439 | C23 | semidirect |
| 710. C2×#1439 | C23 | semidirect |
| 711. C2×#1439 | C23 | semidirect |
| 712. C2×#1439 | C23 | semidirect |
| 713. C2×#1439 | C23 | semidirect |
| 714. C2×#1439 | C23 | semidirect |
| 715. C2×#1439 | C23 | semidirect |
| 716. C2×#1439 | C23 | semidirect |
| 717. C2×#1439 | C23 | semidirect |
| 718. C2×#1439 | C23 | semidirect |
| 719. C2×#1439 | C23 | semidirect |
| 720. C2×#1439 | C23 | semidirect |
| 721. C2×#1439 | C23 | semidirect |
| 722. C2×#1439 | C23 | semidirect |
| 723. C2×#1439 | C23 | semidirect |
| 724. C2×#1439 | C23 | semidirect |
| 725. C2×#1439 | C23 | semidirect |
| 726. C2×#1439 | C23 | semidirect |
| 727. C2×#1439 | C23 | semidirect |
| 728. C2×#1439 | C23 | semidirect |
| 729. C2×#1439 | C23 | semidirect |
| 730. C2×#1439 | C23 | semidirect |
| 731. C2×#1439 | C23 | semidirect |
| 732. C2×#1439 | C23 | semidirect |
| 733. C2×#1439 | C23 | semidirect |
| 734. C2×#1439 | C23 | semidirect |
| 735. C2×#1439 | C23 | semidirect |
| 736. C2×#1439 | C23 | semidirect |
| 763. C2×#1438 | C23 | semidirect |
| 764. C2×#1438 | C23 | semidirect |
| 765. C2×#1438 | C23 | semidirect |
| 766. C2×#1438 | C23 | semidirect |
| 767. C2×#1438 | C23 | semidirect |
| 768. C2×#1438 | C23 | semidirect |
| 769. C2×#1438 | C23 | semidirect |
| 770. C2×#1438 | C23 | semidirect |
| 771. C2×#1438 | C23 | semidirect |
| 772. C2×#1438 | C23 | semidirect |
| 773. C2×#1438 | C23 | semidirect |
| 774. C2×#1438 | C23 | semidirect |
| 775. C2×#1438 | C23 | semidirect |
| 776. C2×#1438 | C23 | semidirect |
| 777. C2×#1438 | C23 | semidirect |
| 778. C2×#1438 | C23 | semidirect |
| 779. C2×#1438 | C23 | semidirect |
| 780. C2×#1438 | C23 | semidirect |
| 781. C2×#1438 | C23 | semidirect |
| 782. C2×#1438 | C23 | semidirect |
| 783. C2×#1438 | C23 | semidirect |
| 784. C2×#1438 | C23 | semidirect |
| 785. C2×#1438 | C23 | semidirect |
| 786. C2×#1438 | C23 | semidirect |
| 787. C2×#1438 | C23 | semidirect |
| 788. C2×#1438 | C23 | semidirect |
| 789. C2×#1438 | C23 | semidirect |
| 790. #13784 | C23 | semidirect |
| 799. C2×#1437 | C23 | semidirect |
| 800. C2×#1437 | C23 | semidirect |
| 801. C2×#1437 | C23 | semidirect |
| 802. C2×#1437 | C23 | semidirect |
| 803. C2×#1437 | C23 | semidirect |
| 804. C2×#1437 | C23 | semidirect |
| 805. C2×#1437 | C23 | semidirect |
| 806. C2×#1437 | C23 | semidirect |
| 807. C2×#1437 | C23 | semidirect |
| 808. C2×#1436 | C23 | semidirect |
| 809. C2×#1436 | C23 | semidirect |
| 810. C2×#1436 | C23 | semidirect |
| 811. C2×#1436 | C23 | semidirect |
| 812. C2×#1436 | C23 | semidirect |
| 813. C2×#1436 | C23 | semidirect |
| 814. C2×#1436 | C23 | semidirect |
| 815. C2×#1436 | C23 | semidirect |
| 816. C2×#1436 | C23 | semidirect |
| 817. C2×#1434 | C23 | semidirect |
| 818. C2×#1434 | C23 | semidirect |
| 819. C2×#1434 | C23 | semidirect |
| 820. C2×#1434 | C23 | semidirect |
| 821. C2×#1434 | C23 | semidirect |
| 828. C2×C22⋊#95 | C23 | semidirect |
| 829. C2×C22⋊#95 | C23 | semidirect |
| 830. C2×C22⋊#95 | C23 | semidirect |
| 831. C2×C22⋊#95 | C23 | semidirect |
| 832. C2×C22⋊#95 | C23 | semidirect |
| 833. C2×C22⋊#95 | C23 | semidirect |
| 841. C23×#41 | C2×D4 | semidirect |
| 892. C2×#535 | C2×D4 | semidirect |
| 894. C22×#127 | C2×D4 | semidirect |
| 899. C22×#127 | C24 | semidirect |
| 901. C22×#124 | C2×D4 | semidirect |
| 905. C22×#124 | C24 | semidirect |
| 906. C22×#124 | C24 | semidirect |
| 907. C22×#124 | C24 | semidirect |
| 908. C22×#124 | C24 | semidirect |
| 911. C22×#121 | C2×D4 | semidirect |
| 916. C22×#121 | C24 | semidirect |
| 917. C22×#121 | C24 | semidirect |
| 918. C22×#121 | C24 | semidirect |
| 919. C22×#121 | C24 | semidirect |
| 920. C22×#120 | C2×D4 | semidirect |
| 941. C22×#120 | C24 | semidirect |
| 942. C22×#120 | C24 | semidirect |
| 945. C22×C4×D4 | C24 | semidirect |
| 946. C22×#117 | C2×D4 | semidirect |
| 1051. C2×#400 | C24 | semidirect |
| 1053. C2×#398 | C24 | semidirect |
| 1055. C2×#397 | C24 | semidirect |
| 1056. C2×#397 | C24 | semidirect |
| 1058. C2×#395 | C24 | semidirect |
| 1067. C2×#394 | C24 | semidirect |
| 1068. C2×#394 | C24 | semidirect |
| 1069. C2×#394 | C24 | semidirect |
| 1070. C2×#394 | C24 | semidirect |
| 1071. C2×#394 | C24 | semidirect |
| 1072. C2×#394 | C24 | semidirect |
| 1073. C2×#394 | C24 | semidirect |
| 1074. C2×#394 | C24 | semidirect |
| 1075. C2×#394 | C24 | semidirect |
| 1076. C2×#394 | C24 | semidirect |
| 1077. C2×#394 | C24 | semidirect |
| 1078. C2×#394 | C24 | semidirect |
| 1079. C2×#394 | C24 | semidirect |
| 1080. C2×#394 | C24 | semidirect |
| 1083. C2×#393 | C24 | semidirect |
| 1084. C2×#393 | C24 | semidirect |
| 1109. C2×#392 | C24 | semidirect |
| 1110. C2×#392 | C24 | semidirect |
| 1111. C2×#392 | C24 | semidirect |
| 1112. C2×#392 | C24 | semidirect |
| 1113. C2×#392 | C24 | semidirect |
| 1114. C2×#392 | C24 | semidirect |
| 1115. C2×#392 | C24 | semidirect |
| 1116. C2×#392 | C24 | semidirect |
| 1117. C2×#392 | C24 | semidirect |
| 1118. C2×#392 | C24 | semidirect |
| 1119. C2×#392 | C24 | semidirect |
| 1120. C2×#392 | C24 | semidirect |
| 1121. C2×#392 | C24 | semidirect |
| 1122. C2×#392 | C24 | semidirect |
| 1123. C2×#392 | C24 | semidirect |
| 1124. C2×#391 | C24 | semidirect |
| 1136. C2×#390 | C24 | semidirect |
| 1137. C2×#390 | C24 | semidirect |
| 1138. C2×#390 | C24 | semidirect |
| 1139. C2×#390 | C24 | semidirect |
| 1141. C2×#388 | C24 | semidirect |
| 1142. C2×#388 | C24 | semidirect |
| 1143. C2×#388 | C24 | semidirect |
| 1144. C2×#388 | C24 | semidirect |
| 1145. C2×#388 | C24 | semidirect |
| 1146. C2×#388 | C24 | semidirect |
| 1147. C2×#388 | C24 | semidirect |
| 1148. C2×#388 | C24 | semidirect |
| 1149. C2×#388 | C24 | semidirect |
| 1150. C2×#388 | C24 | semidirect |
| 1151. C2×#388 | C24 | semidirect |
| 1152. C2×#388 | C24 | semidirect |
| 1168. C2×#386 | C24 | semidirect |
| 1169. C2×#386 | C24 | semidirect |
| 1170. C2×#386 | C24 | semidirect |
| 1171. C2×#386 | C24 | semidirect |
| 1172. C2×#386 | C24 | semidirect |
| 1173. C2×#386 | C24 | semidirect |
| 1174. C2×#386 | C24 | semidirect |
| 1175. C2×#386 | C24 | semidirect |
| 1176. C2×#386 | C24 | semidirect |
| 1177. C2×#386 | C24 | semidirect |
| 1178. C2×#386 | C24 | semidirect |
| 1179. C2×#385 | C24 | semidirect |
| 1180. C2×#382 | C24 | semidirect |
| 1182. C2×#381 | C24 | semidirect |
| 1184. C2×#380 | C24 | semidirect |
| 1206. C2×#379 | C24 | semidirect |
| 1207. C2×#379 | C24 | semidirect |
| 1210. C2×C4×C22⋊C4 | C24 | semidirect |
| 1211. C2×C4×C22⋊C4 | C24 | semidirect |
| 1212. C2×#376 | C24 | semidirect |
| 1213. C2×#376 | C24 | semidirect |
| 1265. C22×#95 | C24 | semidirect |
| 1266. #1446 | C24 | semidirect |
| 1267. #1446 | C24 | semidirect |
| 1268. #1446 | C24 | semidirect |
| 1269. #1445 | C24 | semidirect |
| 1270. #1444 | C24 | semidirect |
| 1271. #1444 | C24 | semidirect |
| 1272. #1443 | C24 | semidirect |
| 1273. #1443 | C24 | semidirect |
| 1274. #1442 | C24 | semidirect |
| 1275. #1442 | C24 | semidirect |
| 1276. #1442 | C24 | semidirect |
| 1277. #1441 | C24 | semidirect |
| 1278. #1441 | C24 | semidirect |
| 1279. #1441 | C24 | semidirect |
| 1280. #1441 | C24 | semidirect |
| 1286. #1440 | C24 | semidirect |
| 1287. #1440 | C24 | semidirect |
| 1288. #1440 | C24 | semidirect |
| 1289. #1440 | C24 | semidirect |
| 1290. #1440 | C24 | semidirect |
| 1291. #1440 | C24 | semidirect |
| 1292. #1440 | C24 | semidirect |
| 1293. #1440 | C24 | semidirect |
| 1294. #1440 | C24 | semidirect |
| 1295. #1440 | C24 | semidirect |
| 1296. #1440 | C24 | semidirect |
| 1297. #1440 | C24 | semidirect |
| 1298. #1440 | C24 | semidirect |
| 1299. #1440 | C24 | semidirect |
| 1300. #1440 | C24 | semidirect |
| 1301. #1440 | C24 | semidirect |
| 1302. #1440 | C24 | semidirect |
| 1309. #1439 | C24 | semidirect |
| 1310. #1439 | C24 | semidirect |
| 1311. #1439 | C24 | semidirect |
| 1312. #1439 | C24 | semidirect |
| 1313. #1439 | C24 | semidirect |
| 1314. #1439 | C24 | semidirect |
| 1315. #1439 | C24 | semidirect |
| 1316. #1439 | C24 | semidirect |
| 1317. #1439 | C24 | semidirect |
| 1318. #1439 | C24 | semidirect |
| 1319. #1439 | C24 | semidirect |
| 1320. #1439 | C24 | semidirect |
| 1321. #1439 | C24 | semidirect |
| 1322. #1439 | C24 | semidirect |
| 1323. #1439 | C24 | semidirect |
| 1324. #1439 | C24 | semidirect |
| 1325. #1439 | C24 | semidirect |
| 1326. #1439 | C24 | semidirect |
| 1327. #1439 | C24 | semidirect |
| 1328. #1439 | C24 | semidirect |
| 1329. #1439 | C24 | semidirect |
| 1330. #1439 | C24 | semidirect |
| 1331. #1439 | C24 | semidirect |
| 1332. #1439 | C24 | semidirect |
| 1333. #1439 | C24 | semidirect |
| 1334. #1439 | C24 | semidirect |
| 1335. #1439 | C24 | semidirect |
| 1336. #1439 | C24 | semidirect |
| 1337. #1439 | C24 | semidirect |
| 1364. #1438 | C24 | semidirect |
| 1365. #1438 | C24 | semidirect |
| 1366. #1438 | C24 | semidirect |
| 1367. #1438 | C24 | semidirect |
| 1368. #1438 | C24 | semidirect |
| 1369. #1438 | C24 | semidirect |
| 1370. #1438 | C24 | semidirect |
| 1371. #1438 | C24 | semidirect |
| 1372. #1438 | C24 | semidirect |
| 1373. #1438 | C24 | semidirect |
| 1374. #1438 | C24 | semidirect |
| 1375. #1438 | C24 | semidirect |
| 1376. #1438 | C24 | semidirect |
| 1377. #1438 | C24 | semidirect |
| 1378. #1438 | C24 | semidirect |
| 1379. #1438 | C24 | semidirect |
| 1380. #1438 | C24 | semidirect |
| 1381. #1438 | C24 | semidirect |
| 1382. #1438 | C24 | semidirect |
| 1383. #1438 | C24 | semidirect |
| 1384. #1438 | C24 | semidirect |
| 1385. #1438 | C24 | semidirect |
| 1386. #1438 | C24 | semidirect |
| 1387. #1438 | C24 | semidirect |
| 1388. #1438 | C24 | semidirect |
| 1389. #1438 | C24 | semidirect |
| 1390. #1438 | C24 | semidirect |
| 1399. #1437 | C24 | semidirect |
| 1400. #1437 | C24 | semidirect |
| 1401. #1437 | C24 | semidirect |
| 1402. #1437 | C24 | semidirect |
| 1403. #1437 | C24 | semidirect |
| 1404. #1437 | C24 | semidirect |
| 1405. #1437 | C24 | semidirect |
| 1406. #1437 | C24 | semidirect |
| 1407. #1437 | C24 | semidirect |
| 1408. #1436 | C24 | semidirect |
| 1409. #1436 | C24 | semidirect |
| 1410. #1436 | C24 | semidirect |
| 1411. #1436 | C24 | semidirect |
| 1412. #1436 | C24 | semidirect |
| 1413. #1436 | C24 | semidirect |
| 1414. #1436 | C24 | semidirect |
| 1415. #1436 | C24 | semidirect |
| 1416. #1436 | C24 | semidirect |
| 1417. #1434 | C24 | semidirect |
| 1418. #1434 | C24 | semidirect |
| 1419. #1434 | C24 | semidirect |
| 1420. #1434 | C24 | semidirect |
| 1421. #1434 | C24 | semidirect |
| 1428. C22⋊#95 | C24 | semidirect |
| 1429. C22⋊#95 | C24 | semidirect |
| 1430. C22⋊#95 | C24 | semidirect |
| 1431. C22⋊#95 | C24 | semidirect |
| 1432. C22⋊#95 | C24 | semidirect |
| 1433. C22⋊#95 | C24 | semidirect |
| 1449. C22×#41 | C22×D4 | semidirect |
| 1519. C2×#127 | C22×D4 | semidirect |
| 1521. C2×#124 | C22×D4 | semidirect |
| 1522. C2×#121 | C22×D4 | semidirect |
| 1523. C2×#120 | C22×D4 | semidirect |
| 1524. C2×#117 | C22×D4 | semidirect |
| 1825. C2 | #72232365 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.