Order 2048.
At least 6169 conjugacy classes of subgroups; only the 40120 normal subgroups are shown.
The subgroup lattice has 1688 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, commutator, Frattini, socle, cosocle | C24 | C27 |
| LCS | G ▷ C24 ▷ C1 | |
| UCS | C1 ◁ C24 ◁ G | |
| LECS | G ▷ C24 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72334930 | C2 | semidirect |
| 2. #72334929 | C2 | semidirect |
| 3. #72334928 | C2 | semidirect |
| 4. #72334927 | C2 | semidirect |
| 5. #72334926 | C2 | semidirect |
| 6. #72334925 | C2 | semidirect |
| 7. #72334924 | C2 | semidirect |
| 8. #72332096 | C2 | semidirect |
| 9. #72330175 | C2 | semidirect |
| 10. #72259094 | C2 | semidirect |
| 11. C2×#517411 | C2 | semidirect |
| 12. #72241010 | C2 | semidirect |
| 13. C2×#7641845 | C2 | semidirect |
| 14. #72240166 | C2 | semidirect |
| 15. #72237372 | C2 | semidirect |
| 16. #72236761 | C2 | semidirect |
| 17. C22×#34980 | C2 | semidirect |
| 18. #72233691 | C2 | semidirect |
| 19. C24×D42 | C2 | semidirect |
| 20. #72225665 | C2 | semidirect |
| 21. #72219254 | C2 | semidirect |
| 23. C26×D4 | C22 | semidirect |
| 26. C23×D42 | C22 | semidirect |
| 27. C23×D42 | C22 | semidirect |
| 28. C23×D42 | C22 | semidirect |
| 29. C23×D42 | C22 | semidirect |
| 30. C23×D42 | C22 | semidirect |
| 31. C23×#534 | C22 | semidirect |
| 32. C24×#127 | C22 | semidirect |
| 33. C24×#121 | C22 | semidirect |
| 34. C24×#121 | C22 | semidirect |
| 36. C24×#120 | C22 | semidirect |
| 37. C24×#120 | C22 | semidirect |
| 38. C24×#120 | C22 | semidirect |
| 39. C24×C4×D4 | C22 | semidirect |
| 40. C2×#37436 | C22 | semidirect |
| 41. C2×#37436 | C22 | semidirect |
| 42. C2×#37436 | C22 | semidirect |
| 43. C22×#2849 | C22 | semidirect |
| 44. C22×#2846 | C22 | semidirect |
| 45. C2×#34992 | C22 | semidirect |
| 46. C2×#34992 | C22 | semidirect |
| 47. C2×#34992 | C22 | semidirect |
| 48. C2×#34992 | C22 | semidirect |
| 49. C2×#34981 | C22 | semidirect |
| 50. C2×#34981 | C22 | semidirect |
| 52. C2×#34980 | C22 | semidirect |
| 53. C2×#34980 | C22 | semidirect |
| 54. C2×#34980 | C22 | semidirect |
| 55. C2×#34980 | C22 | semidirect |
| 56. C2×#34980 | C22 | semidirect |
| 57. C2×#34980 | C22 | semidirect |
| 58. C2×#34980 | C22 | semidirect |
| 59. C2×#34980 | C22 | semidirect |
| 60. C2×#34980 | C22 | semidirect |
| 61. C2×#34980 | C22 | semidirect |
| 62. C2×#34980 | C22 | semidirect |
| 63. C2×#34980 | C22 | semidirect |
| 64. C2×#34980 | C22 | semidirect |
| 65. C2×#34980 | C22 | semidirect |
| 66. C22×#2405 | C22 | semidirect |
| 67. C22×#2405 | C22 | semidirect |
| 68. C22×#2410 | C22 | semidirect |
| 69. C22×#2410 | C22 | semidirect |
| 70. C22×#2403 | C22 | semidirect |
| 71. C22×#2403 | C22 | semidirect |
| 72. C22×#2613 | C22 | semidirect |
| 73. C22×#2308 | C22 | semidirect |
| 74. C22×#2308 | C22 | semidirect |
| 75. C23×#379 | C22 | semidirect |
| 76. C23×#379 | C22 | semidirect |
| 77. #6342383 | C22 | semidirect |
| 78. #6342374 | C22 | semidirect |
| 79. #6342371 | C22 | semidirect |
| 80. #5955353 | C22 | semidirect |
| 81. #5955328 | C22 | semidirect |
| 82. #5955309 | C22 | semidirect |
| 83. #5955303 | C22 | semidirect |
| 84. #4420587 | C22 | semidirect |
| 85. #4420586 | C22 | semidirect |
| 86. #4417880 | C22 | semidirect |
| 87. #4417862 | C22 | semidirect |
| 88. #4308743 | C22 | semidirect |
| 89. #4308740 | C22 | semidirect |
| 90. #4308228 | C22 | semidirect |
| 91. #4308128 | C22 | semidirect |
| 92. #4308128 | C22 | semidirect |
| 93. #4308128 | C22 | semidirect |
| 94. #4307943 | C22 | semidirect |
| 95. #4307937 | C22 | semidirect |
| 96. #4307937 | C22 | semidirect |
| 97. #4307937 | C22 | semidirect |
| 98. #4307937 | C22 | semidirect |
| 99. #705152 | C22 | semidirect |
| 100. #703992 | C22 | semidirect |
| 101. #687655 | C22 | semidirect |
| 102. #687584 | C22 | semidirect |
| 103. #686260 | C22 | semidirect |
| 104. #686258 | C22 | semidirect |
| 105. #686200 | C22 | semidirect |
| 106. #663621 | C22 | semidirect |
| 107. #649101 | C22 | semidirect |
| 108. #647716 | C22 | semidirect |
| 109. #647714 | C22 | semidirect |
| 110. #647658 | C22 | semidirect |
| 111. #647656 | C22 | semidirect |
| 112. #636924 | C22 | semidirect |
| 113. #636800 | C22 | semidirect |
| 114. #636791 | C22 | semidirect |
| 115. #636187 | C22 | semidirect |
| 116. #636185 | C22 | semidirect |
| 117. #636185 | C22 | semidirect |
| 118. #635995 | C22 | semidirect |
| 119. #635993 | C22 | semidirect |
| 120. #635993 | C22 | semidirect |
| 121. #635986 | C22 | semidirect |
| 122. #635984 | C22 | semidirect |
| 123. #635984 | C22 | semidirect |
| 124. #618455 | C22 | semidirect |
| 125. #618327 | C22 | semidirect |
| 126. #618316 | C22 | semidirect |
| 127. #617875 | C22 | semidirect |
| 128. #617875 | C22 | semidirect |
| 129. #617873 | C22 | semidirect |
| 130. #617719 | C22 | semidirect |
| 131. #617719 | C22 | semidirect |
| 132. #617717 | C22 | semidirect |
| 133. #617710 | C22 | semidirect |
| 134. #617710 | C22 | semidirect |
| 135. #617708 | C22 | semidirect |
| 136. #617165 | C22 | semidirect |
| 137. #617161 | C22 | semidirect |
| 138. #617161 | C22 | semidirect |
| 139. #616973 | C22 | semidirect |
| 140. #616969 | C22 | semidirect |
| 141. #616969 | C22 | semidirect |
| 142. #616964 | C22 | semidirect |
| 143. #616960 | C22 | semidirect |
| 144. #616960 | C22 | semidirect |
| 145. #613324 | C22 | semidirect |
| 146. #613200 | C22 | semidirect |
| 147. #613191 | C22 | semidirect |
| 148. #612621 | C22 | semidirect |
| 149. #612617 | C22 | semidirect |
| 150. #612617 | C22 | semidirect |
| 151. #612437 | C22 | semidirect |
| 152. #612433 | C22 | semidirect |
| 153. #612433 | C22 | semidirect |
| 154. #612428 | C22 | semidirect |
| 155. #612424 | C22 | semidirect |
| 156. #612424 | C22 | semidirect |
| 157. C2×#14681 | C22 | semidirect |
| 158. C2×#14679 | C22 | semidirect |
| 159. #556752 | C22 | semidirect |
| 160. #556752 | C22 | semidirect |
| 161. #556752 | C22 | semidirect |
| 162. #556752 | C22 | semidirect |
| 163. #517446 | C22 | semidirect |
| 164. #517446 | C22 | semidirect |
| 165. #517411 | C22 | semidirect |
| 166. #517411 | C22 | semidirect |
| 167. #517411 | C22 | semidirect |
| 168. #517411 | C22 | semidirect |
| 169. #517411 | C22 | semidirect |
| 170. #517411 | C22 | semidirect |
| 171. #517411 | C22 | semidirect |
| 172. #517411 | C22 | semidirect |
| 173. #517411 | C22 | semidirect |
| 174. #517411 | C22 | semidirect |
| 175. #517411 | C22 | semidirect |
| 176. #517411 | C22 | semidirect |
| 177. #517411 | C22 | semidirect |
| 178. #516588 | C22 | semidirect |
| 179. #516577 | C22 | semidirect |
| 180. #516383 | C22 | semidirect |
| 181. #516383 | C22 | semidirect |
| 182. #516383 | C22 | semidirect |
| 183. C2×#14335 | C22 | semidirect |
| 184. C2×#13867 | C22 | semidirect |
| 185. C2×#13867 | C22 | semidirect |
| 186. C2×#13867 | C22 | semidirect |
| 187. C2×#13867 | C22 | semidirect |
| 190. C28 | C23 | semidirect |
| 191. C25×D4 | D4 | semidirect |
| 213. C25×D4 | C23 | semidirect |
| 214. C25×D4 | C23 | semidirect |
| 215. C25×D4 | C23 | semidirect |
| 216. C25×D4 | C23 | semidirect |
| 217. C25×D4 | C23 | semidirect |
| 218. C25×D4 | C23 | semidirect |
| 219. C25×D4 | C23 | semidirect |
| 220. C25×D4 | C23 | semidirect |
| 222. C26×C4 | C23 | semidirect |
| 229. C22×D42 | C23 | semidirect |
| 230. C22×D42 | C23 | semidirect |
| 231. C22×D42 | C23 | semidirect |
| 232. C22×D42 | C23 | semidirect |
| 234. C22×#534 | C23 | semidirect |
| 235. C22×#534 | C23 | semidirect |
| 236. C22×#534 | C23 | semidirect |
| 237. C22×#534 | C23 | semidirect |
| 238. C22×#534 | C23 | semidirect |
| 239. C22×#534 | C23 | semidirect |
| 240. C22×#534 | C23 | semidirect |
| 243. C23×#127 | C23 | semidirect |
| 244. C23×#127 | C23 | semidirect |
| 245. C23×#123 | C23 | semidirect |
| 246. C23×#123 | C23 | semidirect |
| 253. C23×#121 | C23 | semidirect |
| 254. C23×#121 | C23 | semidirect |
| 255. C23×#121 | C23 | semidirect |
| 256. C23×#121 | C23 | semidirect |
| 257. C23×#121 | C23 | semidirect |
| 258. C23×#121 | C23 | semidirect |
| 259. C23×#121 | C23 | semidirect |
| 260. C23×#120 | D4 | semidirect |
| 275. C23×#120 | C23 | semidirect |
| 276. C23×#120 | C23 | semidirect |
| 277. C23×#120 | C23 | semidirect |
| 278. C23×#120 | C23 | semidirect |
| 279. C23×#120 | C23 | semidirect |
| 280. C23×#120 | C23 | semidirect |
| 281. C23×#120 | C23 | semidirect |
| 282. C23×#120 | C23 | semidirect |
| 283. C23×#120 | C23 | semidirect |
| 284. C23×#120 | C23 | semidirect |
| 285. C23×#120 | C23 | semidirect |
| 286. C23×#120 | C23 | semidirect |
| 287. C23×#120 | C23 | semidirect |
| 288. C23×#120 | C23 | semidirect |
| 292. C23×C4×D4 | C23 | semidirect |
| 293. C23×C4×D4 | C23 | semidirect |
| 294. C23×C4×D4 | C23 | semidirect |
| 295. C24×C4⋊C4 | C23 | semidirect |
| 298. C24×C22⋊C4 | C23 | semidirect |
| 299. C24×C22⋊C4 | C23 | semidirect |
| 300. C24×C22⋊C4 | C23 | semidirect |
| 301. C24×C22⋊C4 | C23 | semidirect |
| 302. C24×C22⋊C4 | C23 | semidirect |
| 303. C24×C22⋊C4 | C23 | semidirect |
| 304. C24×C22⋊C4 | C23 | semidirect |
| 305. C24×C22⋊C4 | C23 | semidirect |
| 306. C24×C22⋊C4 | C23 | semidirect |
| 307. C24×C22⋊C4 | C23 | semidirect |
| 308. C24×C42 | C23 | semidirect |
| 309. C2×#2812 | C23 | semidirect |
| 314. C2×#2849 | C23 | semidirect |
| 315. C2×#2849 | C23 | semidirect |
| 316. C2×#2849 | C23 | semidirect |
| 317. C2×#2849 | C23 | semidirect |
| 318. C2×#2849 | C23 | semidirect |
| 319. C2×#2849 | C23 | semidirect |
| 320. C2×#2847 | C23 | semidirect |
| 324. C2×#2846 | C23 | semidirect |
| 325. C2×#2846 | C23 | semidirect |
| 326. C2×#2846 | C23 | semidirect |
| 327. C2×#2846 | C23 | semidirect |
| 328. C2×#2846 | C23 | semidirect |
| 329. C2×#2846 | C23 | semidirect |
| 330. C2×#2483 | C23 | semidirect |
| 331. C2×#2483 | C23 | semidirect |
| 332. C2×#2483 | C23 | semidirect |
| 333. C2×#2412 | C23 | semidirect |
| 334. C2×#2412 | C23 | semidirect |
| 335. C2×#2412 | C23 | semidirect |
| 336. C2×#2412 | C23 | semidirect |
| 337. C2×#2412 | C23 | semidirect |
| 338. C2×#2412 | C23 | semidirect |
| 341. C2×#2405 | C23 | semidirect |
| 342. C2×#2405 | C23 | semidirect |
| 343. C2×#2405 | C23 | semidirect |
| 344. C2×#2405 | C23 | semidirect |
| 345. C2×#2405 | C23 | semidirect |
| 346. C2×#2405 | C23 | semidirect |
| 347. C2×#2405 | C23 | semidirect |
| 348. C2×#2405 | C23 | semidirect |
| 349. C2×#2405 | C23 | semidirect |
| 350. C2×#2405 | C23 | semidirect |
| 351. C2×#2405 | C23 | semidirect |
| 352. C2×#2405 | C23 | semidirect |
| 353. C2×#2405 | C23 | semidirect |
| 354. C2×#2405 | C23 | semidirect |
| 355. C2×#2405 | C23 | semidirect |
| 356. C2×#2405 | C23 | semidirect |
| 357. C2×#2405 | C23 | semidirect |
| 360. C2×#2410 | C23 | semidirect |
| 361. C2×#2410 | C23 | semidirect |
| 362. C2×#2410 | C23 | semidirect |
| 363. C2×#2410 | C23 | semidirect |
| 364. C2×#2410 | C23 | semidirect |
| 365. C2×#2410 | C23 | semidirect |
| 366. C2×#2410 | C23 | semidirect |
| 367. C2×#2410 | C23 | semidirect |
| 368. C2×#2410 | C23 | semidirect |
| 369. C2×#2410 | C23 | semidirect |
| 370. C2×#2410 | C23 | semidirect |
| 371. C2×#2410 | C23 | semidirect |
| 372. C2×#2410 | C23 | semidirect |
| 373. C2×#2410 | C23 | semidirect |
| 374. C2×#2410 | C23 | semidirect |
| 375. C2×#2410 | C23 | semidirect |
| 376. C2×#2410 | C23 | semidirect |
| 379. C2×#2403 | C23 | semidirect |
| 380. C2×#2403 | C23 | semidirect |
| 381. C2×#2403 | C23 | semidirect |
| 382. C2×#2403 | C23 | semidirect |
| 383. C2×#2403 | C23 | semidirect |
| 384. C2×#2403 | C23 | semidirect |
| 385. C2×#2403 | C23 | semidirect |
| 386. C2×#2403 | C23 | semidirect |
| 387. C2×#2403 | C23 | semidirect |
| 388. C2×#2403 | C23 | semidirect |
| 389. C2×#2403 | C23 | semidirect |
| 390. C2×#2403 | C23 | semidirect |
| 391. C2×#2403 | C23 | semidirect |
| 392. C2×#2403 | C23 | semidirect |
| 393. C2×#2622 | C23 | semidirect |
| 394. C2×#2622 | C23 | semidirect |
| 395. C2×#2622 | C23 | semidirect |
| 396. C2×#2622 | C23 | semidirect |
| 397. C2×#2617 | C23 | semidirect |
| 398. C2×#2617 | C23 | semidirect |
| 400. C2×#2613 | C23 | semidirect |
| 401. C2×#2613 | C23 | semidirect |
| 402. C2×#2613 | C23 | semidirect |
| 403. C2×#2613 | C23 | semidirect |
| 404. C2×#2613 | C23 | semidirect |
| 405. C2×#2613 | C23 | semidirect |
| 406. C2×#2613 | C23 | semidirect |
| 407. C2×#2613 | C23 | semidirect |
| 408. C2×#2613 | C23 | semidirect |
| 409. C2×#2613 | C23 | semidirect |
| 410. C2×#2613 | C23 | semidirect |
| 411. C2×#2613 | C23 | semidirect |
| 412. C22×#394 | C23 | semidirect |
| 413. C22×#394 | C23 | semidirect |
| 414. C22×#392 | C23 | semidirect |
| 415. C22×#392 | C23 | semidirect |
| 416. C2×#2315 | C23 | semidirect |
| 417. C2×#2315 | C23 | semidirect |
| 420. C2×#2308 | C23 | semidirect |
| 421. C2×#2308 | C23 | semidirect |
| 422. C2×#2308 | C23 | semidirect |
| 423. C2×#2308 | C23 | semidirect |
| 424. C2×#2308 | C23 | semidirect |
| 425. C2×#2308 | C23 | semidirect |
| 426. C2×#2308 | C23 | semidirect |
| 427. C2×#2308 | C23 | semidirect |
| 428. C2×#2308 | C23 | semidirect |
| 429. C2×#2308 | C23 | semidirect |
| 430. C2×#2308 | C23 | semidirect |
| 431. C2×#2308 | C23 | semidirect |
| 432. C2×#2308 | C23 | semidirect |
| 433. C2×#2308 | C23 | semidirect |
| 434. C2×#2308 | C23 | semidirect |
| 435. C2×#2308 | C23 | semidirect |
| 436. C22×#386 | C23 | semidirect |
| 437. C22×#386 | C23 | semidirect |
| 438. C22×#386 | C23 | semidirect |
| 439. C22×#386 | C23 | semidirect |
| 440. C22×#386 | C23 | semidirect |
| 441. C22×#386 | C23 | semidirect |
| 442. C22×#386 | C23 | semidirect |
| 443. C22×#385 | C23 | semidirect |
| 444. C22×#385 | C23 | semidirect |
| 445. C22×#381 | C23 | semidirect |
| 446. C22×#381 | C23 | semidirect |
| 452. C22×#379 | C23 | semidirect |
| 453. C22×#379 | C23 | semidirect |
| 454. C22×#379 | C23 | semidirect |
| 455. C22×#379 | C23 | semidirect |
| 456. C22×#379 | C23 | semidirect |
| 457. C22×#379 | C23 | semidirect |
| 458. C22×#379 | C23 | semidirect |
| 459. C22×#379 | C23 | semidirect |
| 460. C22×#379 | C23 | semidirect |
| 461. C22×#379 | C23 | semidirect |
| 462. C22×#379 | C23 | semidirect |
| 463. C22×#379 | C23 | semidirect |
| 464. C22×#379 | C23 | semidirect |
| 465. C22×#379 | C23 | semidirect |
| 466. C22×#379 | C23 | semidirect |
| 467. C22×#379 | C23 | semidirect |
| 468. C22×#379 | C23 | semidirect |
| 469. C22×#379 | C23 | semidirect |
| 470. C22×#379 | C23 | semidirect |
| 471. C22×#379 | C23 | semidirect |
| 472. #16361 | C23 | semidirect |
| 473. #16259 | C23 | semidirect |
| 474. #16258 | C23 | semidirect |
| 475. #16255 | C23 | semidirect |
| 476. #16255 | C23 | semidirect |
| 477. #16250 | C23 | semidirect |
| 478. #16249 | C23 | semidirect |
| 479. #16249 | C23 | semidirect |
| 480. #15984 | C23 | semidirect |
| 481. #15950 | C23 | semidirect |
| 482. #15948 | C23 | semidirect |
| 483. #15948 | C23 | semidirect |
| 484. #15947 | C23 | semidirect |
| 485. #15313 | C23 | semidirect |
| 486. #15313 | C23 | semidirect |
| 487. #15312 | C23 | semidirect |
| 488. #15310 | C23 | semidirect |
| 489. #15310 | C23 | semidirect |
| 490. #15278 | C23 | semidirect |
| 491. #15277 | C23 | semidirect |
| 492. #15274 | C23 | semidirect |
| 493. #15273 | C23 | semidirect |
| 494. #15266 | C23 | semidirect |
| 495. #15266 | C23 | semidirect |
| 496. #15263 | C23 | semidirect |
| 497. #15261 | C23 | semidirect |
| 498. #15261 | C23 | semidirect |
| 499. #15260 | C23 | semidirect |
| 500. #15258 | C23 | semidirect |
| 501. #15257 | C23 | semidirect |
| 502. #15257 | C23 | semidirect |
| 503. #15257 | C23 | semidirect |
| 504. #15092 | C23 | semidirect |
| 505. #15091 | C23 | semidirect |
| 506. #15073 | C23 | semidirect |
| 507. #15069 | C23 | semidirect |
| 508. #14926 | C23 | semidirect |
| 509. #14918 | C23 | semidirect |
| 510. #14918 | C23 | semidirect |
| 511. #14918 | C23 | semidirect |
| 512. #14918 | C23 | semidirect |
| 513. #14918 | C23 | semidirect |
| 514. #14913 | C23 | semidirect |
| 515. #14911 | C23 | semidirect |
| 516. #14911 | C23 | semidirect |
| 517. #14911 | C23 | semidirect |
| 518. #14911 | C23 | semidirect |
| 519. #14911 | C23 | semidirect |
| 520. #14911 | C23 | semidirect |
| 521. #14823 | C23 | semidirect |
| 522. #14757 | C23 | semidirect |
| 523. #14747 | C23 | semidirect |
| 524. #14731 | C23 | semidirect |
| 525. #14730 | C23 | semidirect |
| 526. #14725 | C23 | semidirect |
| 527. #14724 | C23 | semidirect |
| 528. #14724 | C23 | semidirect |
| 529. #14724 | C23 | semidirect |
| 530. #14724 | C23 | semidirect |
| 531. #14724 | C23 | semidirect |
| 532. #14724 | C23 | semidirect |
| 533. #14724 | C23 | semidirect |
| 534. #14721 | C23 | semidirect |
| 535. #14719 | C23 | semidirect |
| 536. #14718 | C23 | semidirect |
| 537. #14718 | C23 | semidirect |
| 538. #14716 | C23 | semidirect |
| 539. #14716 | C23 | semidirect |
| 540. #14715 | C23 | semidirect |
| 541. #14715 | C23 | semidirect |
| 542. #14715 | C23 | semidirect |
| 543. #14715 | C23 | semidirect |
| 544. #14715 | C23 | semidirect |
| 545. #14715 | C23 | semidirect |
| 546. #14715 | C23 | semidirect |
| 547. #14715 | C23 | semidirect |
| 548. #14706 | C23 | semidirect |
| 549. #14706 | C23 | semidirect |
| 550. #14705 | C23 | semidirect |
| 551. #14705 | C23 | semidirect |
| 552. #14694 | C23 | semidirect |
| 553. #14694 | C23 | semidirect |
| 554. #14694 | C23 | semidirect |
| 555. #14693 | C23 | semidirect |
| 556. #14693 | C23 | semidirect |
| 557. #14681 | C23 | semidirect |
| 558. #14681 | C23 | semidirect |
| 559. #14681 | C23 | semidirect |
| 560. #14681 | C23 | semidirect |
| 561. #14681 | C23 | semidirect |
| 562. #14681 | C23 | semidirect |
| 563. #14681 | C23 | semidirect |
| 564. #14681 | C23 | semidirect |
| 565. #14679 | C23 | semidirect |
| 566. #14679 | C23 | semidirect |
| 567. #14679 | C23 | semidirect |
| 568. #14679 | C23 | semidirect |
| 569. #14679 | C23 | semidirect |
| 570. #14679 | C23 | semidirect |
| 571. #14679 | C23 | semidirect |
| 572. #14679 | C23 | semidirect |
| 573. #14657 | C23 | semidirect |
| 574. #14657 | C23 | semidirect |
| 575. #14341 | C23 | semidirect |
| 576. #14341 | C23 | semidirect |
| 577. #14335 | C23 | semidirect |
| 578. #14335 | C23 | semidirect |
| 579. #14335 | C23 | semidirect |
| 580. #14335 | C23 | semidirect |
| 581. #14335 | C23 | semidirect |
| 582. #14335 | C23 | semidirect |
| 583. #14335 | C23 | semidirect |
| 584. #14335 | C23 | semidirect |
| 585. #14335 | C23 | semidirect |
| 586. #14335 | C23 | semidirect |
| 587. #14335 | C23 | semidirect |
| 588. #14263 | C23 | semidirect |
| 589. #14262 | C23 | semidirect |
| 590. #14262 | C23 | semidirect |
| 591. #14262 | C23 | semidirect |
| 592. #14256 | C23 | semidirect |
| 593. #14255 | C23 | semidirect |
| 594. #14255 | C23 | semidirect |
| 595. #14255 | C23 | semidirect |
| 596. #14255 | C23 | semidirect |
| 597. #14255 | C23 | semidirect |
| 598. #14255 | C23 | semidirect |
| 599. #14134 | C23 | semidirect |
| 600. #14134 | C23 | semidirect |
| 601. #14134 | C23 | semidirect |
| 602. #14134 | C23 | semidirect |
| 603. #14023 | C23 | semidirect |
| 604. #14016 | C23 | semidirect |
| 605. #14015 | C23 | semidirect |
| 606. #13975 | C23 | semidirect |
| 607. #13968 | C23 | semidirect |
| 608. #13967 | C23 | semidirect |
| 609. #13869 | C23 | semidirect |
| 610. #13869 | C23 | semidirect |
| 611. #13869 | C23 | semidirect |
| 612. #13869 | C23 | semidirect |
| 613. #13869 | C23 | semidirect |
| 614. #13869 | C23 | semidirect |
| 617. #13867 | C23 | semidirect |
| 618. #13867 | C23 | semidirect |
| 619. #13867 | C23 | semidirect |
| 620. #13867 | C23 | semidirect |
| 621. #13867 | C23 | semidirect |
| 622. #13867 | C23 | semidirect |
| 623. #13867 | C23 | semidirect |
| 624. #13867 | C23 | semidirect |
| 625. #13867 | C23 | semidirect |
| 626. #13867 | C23 | semidirect |
| 627. #13867 | C23 | semidirect |
| 628. #13867 | C23 | semidirect |
| 629. #13867 | C23 | semidirect |
| 630. #13867 | C23 | semidirect |
| 631. #13867 | C23 | semidirect |
| 632. #13867 | C23 | semidirect |
| 633. #13867 | C23 | semidirect |
| 634. #13867 | C23 | semidirect |
| 635. #13867 | C23 | semidirect |
| 636. #13867 | C23 | semidirect |
| 637. #13867 | C23 | semidirect |
| 638. #13867 | C23 | semidirect |
| 639. #13867 | C23 | semidirect |
| 640. #13867 | C23 | semidirect |
| 641. #13867 | C23 | semidirect |
| 642. #13867 | C23 | semidirect |
| 643. #13867 | C23 | semidirect |
| 644. #13867 | C23 | semidirect |
| 645. #13867 | C23 | semidirect |
| 646. #13867 | C23 | semidirect |
| 647. #13867 | C23 | semidirect |
| 648. C2×#1438 | C23 | semidirect |
| 649. C2×#1438 | C23 | semidirect |
| 650. #13794 | C23 | semidirect |
| 651. #13794 | C23 | semidirect |
| 652. C2×C22⋊#95 | C23 | semidirect |
| 653. C2×C22⋊#95 | C23 | semidirect |
| 656. C27 | C2×D4 | semidirect |
| 677. C27 | C24 | semidirect |
| 686. C24×D4 | C2×D4 | semidirect |
| 687. C24×D4 | C2×D4 | semidirect |
| 688. C24×D4 | C2×D4 | semidirect |
| 689. C24×D4 | C2×D4 | semidirect |
| 690. C24×D4 | C2×D4 | semidirect |
| 691. C24×D4 | C2×D4 | semidirect |
| 692. C24×D4 | C2×D4 | semidirect |
| 693. C24×D4 | C2×D4 | semidirect |
| 694. C24×D4 | C2×D4 | semidirect |
| 695. C24×D4 | C2×D4 | semidirect |
| 763. C24×D4 | C24 | semidirect |
| 764. C24×D4 | C24 | semidirect |
| 765. C24×D4 | C24 | semidirect |
| 766. C24×D4 | C24 | semidirect |
| 767. C24×D4 | C24 | semidirect |
| 768. C24×D4 | C24 | semidirect |
| 769. C25×C4 | C2×D4 | semidirect |
| 783. C25×C4 | C24 | semidirect |
| 784. C25×C4 | C24 | semidirect |
| 785. C25×C4 | C24 | semidirect |
| 786. C25×C4 | C24 | semidirect |
| 795. C22×#123 | C24 | semidirect |
| 796. C22×#123 | C24 | semidirect |
| 797. C22×#123 | C24 | semidirect |
| 798. C22×#123 | C24 | semidirect |
| 799. C22×#123 | C24 | semidirect |
| 800. C22×#123 | C24 | semidirect |
| 810. C22×#121 | C24 | semidirect |
| 811. C22×#121 | C24 | semidirect |
| 812. C22×#121 | C24 | semidirect |
| 813. C22×#121 | C24 | semidirect |
| 814. C22×#121 | C24 | semidirect |
| 817. C22×#120 | C2×D4 | semidirect |
| 818. C22×#120 | C2×D4 | semidirect |
| 819. C22×#120 | C2×D4 | semidirect |
| 820. C22×#120 | C2×D4 | semidirect |
| 821. C22×#120 | C2×D4 | semidirect |
| 854. C22×#120 | C24 | semidirect |
| 855. C22×#120 | C24 | semidirect |
| 856. C22×#120 | C24 | semidirect |
| 857. C22×#120 | C24 | semidirect |
| 858. C22×#120 | C24 | semidirect |
| 859. C22×#120 | C24 | semidirect |
| 860. C22×#120 | C24 | semidirect |
| 861. C22×#120 | C24 | semidirect |
| 862. C22×#120 | C24 | semidirect |
| 863. C22×#120 | C24 | semidirect |
| 864. C22×#120 | C24 | semidirect |
| 865. C22×#120 | C24 | semidirect |
| 866. C22×#120 | C24 | semidirect |
| 874. C23×C4⋊C4 | C24 | semidirect |
| 875. C23×C22⋊C4 | C2×D4 | semidirect |
| 876. C23×C22⋊C4 | C2×D4 | semidirect |
| 914. C23×C22⋊C4 | C24 | semidirect |
| 915. C23×C22⋊C4 | C24 | semidirect |
| 916. C23×C22⋊C4 | C24 | semidirect |
| 917. C23×C22⋊C4 | C24 | semidirect |
| 918. C23×C22⋊C4 | C24 | semidirect |
| 919. C23×C22⋊C4 | C24 | semidirect |
| 920. C23×C22⋊C4 | C24 | semidirect |
| 921. C23×C22⋊C4 | C24 | semidirect |
| 922. C23×C22⋊C4 | C24 | semidirect |
| 923. C23×C22⋊C4 | C24 | semidirect |
| 924. C23×C22⋊C4 | C24 | semidirect |
| 925. C23×C22⋊C4 | C24 | semidirect |
| 926. C23×C22⋊C4 | C24 | semidirect |
| 927. C23×C22⋊C4 | C24 | semidirect |
| 928. C23×C22⋊C4 | C24 | semidirect |
| 929. C23×C22⋊C4 | C24 | semidirect |
| 930. C23×C22⋊C4 | C24 | semidirect |
| 931. C23×C22⋊C4 | C24 | semidirect |
| 932. C23×C22⋊C4 | C24 | semidirect |
| 933. C23×C22⋊C4 | C24 | semidirect |
| 934. C23×C22⋊C4 | C24 | semidirect |
| 935. C23×C22⋊C4 | C24 | semidirect |
| 936. C23×C22⋊C4 | C24 | semidirect |
| 937. C23×C22⋊C4 | C24 | semidirect |
| 940. C2×#397 | C24 | semidirect |
| 941. C2×#397 | C24 | semidirect |
| 942. C2×#397 | C24 | semidirect |
| 945. C2×#394 | C24 | semidirect |
| 946. C2×#394 | C24 | semidirect |
| 947. C2×#394 | C24 | semidirect |
| 948. C2×#394 | C24 | semidirect |
| 949. C2×#394 | C24 | semidirect |
| 950. C2×#394 | C24 | semidirect |
| 951. C2×#394 | C24 | semidirect |
| 952. C2×#394 | C24 | semidirect |
| 953. C2×#394 | C24 | semidirect |
| 954. C2×#394 | C24 | semidirect |
| 955. C2×#394 | C24 | semidirect |
| 956. C2×#394 | C24 | semidirect |
| 957. C2×#394 | C24 | semidirect |
| 958. C2×#394 | C24 | semidirect |
| 959. C2×#394 | C24 | semidirect |
| 962. C2×#392 | C24 | semidirect |
| 963. C2×#392 | C24 | semidirect |
| 964. C2×#392 | C24 | semidirect |
| 965. C2×#392 | C24 | semidirect |
| 966. C2×#392 | C24 | semidirect |
| 967. C2×#392 | C24 | semidirect |
| 968. C2×#392 | C24 | semidirect |
| 969. C2×#392 | C24 | semidirect |
| 970. C2×#392 | C24 | semidirect |
| 971. C2×#392 | C24 | semidirect |
| 972. C2×#392 | C24 | semidirect |
| 973. C2×#392 | C24 | semidirect |
| 986. C2×#386 | C24 | semidirect |
| 987. C2×#386 | C24 | semidirect |
| 988. C2×#386 | C24 | semidirect |
| 989. C2×#386 | C24 | semidirect |
| 990. C2×#386 | C24 | semidirect |
| 991. C2×#386 | C24 | semidirect |
| 992. C2×#386 | C24 | semidirect |
| 993. C2×#386 | C24 | semidirect |
| 994. C2×#386 | C24 | semidirect |
| 995. C2×#386 | C24 | semidirect |
| 996. C2×#386 | C24 | semidirect |
| 997. C2×#386 | C24 | semidirect |
| 998. C2×#386 | C24 | semidirect |
| 999. C2×#386 | C24 | semidirect |
| 1000. C2×#386 | C24 | semidirect |
| 1001. C2×#386 | C24 | semidirect |
| 1002. C2×#386 | C24 | semidirect |
| 1003. C2×#386 | C24 | semidirect |
| 1004. C2×#386 | C24 | semidirect |
| 1005. C2×#386 | C24 | semidirect |
| 1006. C2×#386 | C24 | semidirect |
| 1007. C2×#386 | C24 | semidirect |
| 1008. C2×#386 | C24 | semidirect |
| 1009. C2×#386 | C24 | semidirect |
| 1010. C2×#386 | C24 | semidirect |
| 1011. C2×#386 | C24 | semidirect |
| 1012. C2×#386 | C24 | semidirect |
| 1013. C2×#386 | C24 | semidirect |
| 1021. C2×#385 | C24 | semidirect |
| 1022. C2×#385 | C24 | semidirect |
| 1023. C2×#385 | C24 | semidirect |
| 1024. C2×#385 | C24 | semidirect |
| 1025. C2×#385 | C24 | semidirect |
| 1026. C2×#385 | C24 | semidirect |
| 1035. C2×#381 | C24 | semidirect |
| 1036. C2×#381 | C24 | semidirect |
| 1037. C2×#381 | C24 | semidirect |
| 1038. C2×#381 | C24 | semidirect |
| 1039. C2×#380 | C24 | semidirect |
| 1040. C2×#380 | C24 | semidirect |
| 1073. C2×#379 | C24 | semidirect |
| 1074. C2×#379 | C24 | semidirect |
| 1075. C2×#379 | C24 | semidirect |
| 1076. C2×#379 | C24 | semidirect |
| 1077. C2×#379 | C24 | semidirect |
| 1078. C2×#379 | C24 | semidirect |
| 1079. C2×#379 | C24 | semidirect |
| 1080. C2×#379 | C24 | semidirect |
| 1081. C2×#379 | C24 | semidirect |
| 1082. C2×#379 | C24 | semidirect |
| 1083. C2×#379 | C24 | semidirect |
| 1084. C2×#379 | C24 | semidirect |
| 1085. C2×#379 | C24 | semidirect |
| 1086. C2×#379 | C24 | semidirect |
| 1087. C2×#379 | C24 | semidirect |
| 1088. C2×#379 | C24 | semidirect |
| 1089. C2×#379 | C24 | semidirect |
| 1090. C2×#379 | C24 | semidirect |
| 1091. C2×#379 | C24 | semidirect |
| 1092. C2×#379 | C24 | semidirect |
| 1093. C22×#95 | C24 | semidirect |
| 1094. C22×#95 | C24 | semidirect |
| 1095. C22×#95 | C24 | semidirect |
| 1096. #1444 | C24 | semidirect |
| 1097. #1442 | C24 | semidirect |
| 1098. #1441 | C24 | semidirect |
| 1099. #1440 | C24 | semidirect |
| 1100. #1440 | C24 | semidirect |
| 1101. #1440 | C24 | semidirect |
| 1102. #1440 | C24 | semidirect |
| 1103. #1440 | C24 | semidirect |
| 1104. #1440 | C24 | semidirect |
| 1105. #1440 | C24 | semidirect |
| 1106. #1439 | C24 | semidirect |
| 1107. #1439 | C24 | semidirect |
| 1108. #1439 | C24 | semidirect |
| 1109. #1439 | C24 | semidirect |
| 1110. #1439 | C24 | semidirect |
| 1111. #1439 | C24 | semidirect |
| 1114. #1438 | C24 | semidirect |
| 1115. #1438 | C24 | semidirect |
| 1116. #1438 | C24 | semidirect |
| 1117. #1438 | C24 | semidirect |
| 1118. #1438 | C24 | semidirect |
| 1119. #1438 | C24 | semidirect |
| 1120. #1438 | C24 | semidirect |
| 1121. #1438 | C24 | semidirect |
| 1122. #1438 | C24 | semidirect |
| 1123. #1438 | C24 | semidirect |
| 1124. #1438 | C24 | semidirect |
| 1125. #1438 | C24 | semidirect |
| 1126. #1438 | C24 | semidirect |
| 1127. #1438 | C24 | semidirect |
| 1128. #1438 | C24 | semidirect |
| 1129. #1438 | C24 | semidirect |
| 1130. #1438 | C24 | semidirect |
| 1131. #1438 | C24 | semidirect |
| 1132. #1437 | C24 | semidirect |
| 1133. #1436 | C24 | semidirect |
| 1134. #1436 | C24 | semidirect |
| 1142. C22⋊#95 | C24 | semidirect |
| 1143. C22⋊#95 | C24 | semidirect |
| 1144. C22⋊#95 | C24 | semidirect |
| 1145. C22⋊#95 | C24 | semidirect |
| 1146. C22⋊#95 | C24 | semidirect |
| 1147. C22⋊#95 | C24 | semidirect |
| 1148. C22⋊#95 | C24 | semidirect |
| 1149. C26 | #120 | semidirect |
| 1522. C22×D4 | #534 | semidirect |
| 1601. C24 | C2×#534 | semidirect |
| 1638. C2×D4 | C2×#534 | semidirect |
| 1639. C22×C4 | C2×#534 | semidirect |
| 1645. C23 | #34980 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.