Order 2048.
At least 6055 conjugacy classes of subgroups; only the 39256 normal subgroups are shown.
The subgroup lattice has 1535 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. #72330116 | C2 | semidirect |
| 2. #72330113 | C2 | semidirect |
| 3. #72330109 | C2 | semidirect |
| 4. #72330105 | C2 | semidirect |
| 5. #72330101 | C2 | semidirect |
| 6. #72330099 | C2 | semidirect |
| 7. #72302219 | C2 | semidirect |
| 8. #72259101 | C2 | semidirect |
| 9. #72259059 | C2 | semidirect |
| 10. #72256565 | C2 | semidirect |
| 11. #72240157 | C2 | semidirect |
| 12. C23×#2403 | C2 | semidirect |
| 13. #72232804 | C2 | semidirect |
| 14. C2×#612424 | C2 | semidirect |
| 15. C2×#7630939 | C2 | semidirect |
| 16. #72232053 | C2 | semidirect |
| 17. #72219674 | C2 | semidirect |
| 18. C22×#62817 | C2 | semidirect |
| 19. #72217875 | C2 | semidirect |
| 20. C26×D4 | C22 | semidirect |
| 21. C26×D4 | C22 | semidirect |
| 22. C22×#3532 | C22 | semidirect |
| 23. C22×#3532 | C22 | semidirect |
| 24. C22×#3490 | C22 | semidirect |
| 25. C22×#3490 | C22 | semidirect |
| 26. C22×#3490 | C22 | semidirect |
| 27. C22×#3490 | C22 | semidirect |
| 29. C22×#3484 | C22 | semidirect |
| 30. C22×#3484 | C22 | semidirect |
| 31. C22×#3484 | C22 | semidirect |
| 32. C22×#3484 | C22 | semidirect |
| 34. C24×#120 | C22 | semidirect |
| 35. C24×#120 | C22 | semidirect |
| 36. C24×#120 | C22 | semidirect |
| 37. C2×#36614 | C22 | semidirect |
| 38. C22×#2846 | C22 | semidirect |
| 39. C22×#2846 | C22 | semidirect |
| 40. C2×#36152 | C22 | semidirect |
| 41. C2×D4×#120 | C22 | semidirect |
| 42. C2×#35346 | C22 | semidirect |
| 43. C2×#35222 | C22 | semidirect |
| 44. C2×#35222 | C22 | semidirect |
| 45. C2×#34980 | C22 | semidirect |
| 46. C2×#34980 | C22 | semidirect |
| 47. C2×#34980 | C22 | semidirect |
| 48. C2×#34980 | C22 | semidirect |
| 49. C2×#34980 | C22 | semidirect |
| 50. C22×#2403 | C22 | semidirect |
| 51. C22×#2403 | C22 | semidirect |
| 52. C22×#2403 | C22 | semidirect |
| 53. C22×#2403 | C22 | semidirect |
| 54. C22×#2403 | C22 | semidirect |
| 55. C22×#2403 | C22 | semidirect |
| 56. C23×#392 | C22 | semidirect |
| 57. C23×#392 | C22 | semidirect |
| 58. C2×#34171 | C22 | semidirect |
| 59. C2×#34171 | C22 | semidirect |
| 60. C23×#386 | C22 | semidirect |
| 61. C23×#386 | C22 | semidirect |
| 62. C23×#386 | C22 | semidirect |
| 63. C23×#379 | C22 | semidirect |
| 64. #5955332 | C22 | semidirect |
| 65. #5955331 | C22 | semidirect |
| 66. #5955307 | C22 | semidirect |
| 67. #5955304 | C22 | semidirect |
| 68. #5955303 | C22 | semidirect |
| 69. #5955303 | C22 | semidirect |
| 70. #5955303 | C22 | semidirect |
| 71. #4940663 | C22 | semidirect |
| 72. #4940662 | C22 | semidirect |
| 73. #4940661 | C22 | semidirect |
| 74. #4928940 | C22 | semidirect |
| 75. #4928939 | C22 | semidirect |
| 76. #4928938 | C22 | semidirect |
| 77. #4453257 | C22 | semidirect |
| 78. #4453167 | C22 | semidirect |
| 79. #1422020 | C22 | semidirect |
| 80. #1418391 | C22 | semidirect |
| 81. #1418385 | C22 | semidirect |
| 82. #1086885 | C22 | semidirect |
| 83. #1086877 | C22 | semidirect |
| 84. #1082743 | C22 | semidirect |
| 85. #1082737 | C22 | semidirect |
| 86. #777316 | C22 | semidirect |
| 87. #777314 | C22 | semidirect |
| 88. #772780 | C22 | semidirect |
| 89. #772778 | C22 | semidirect |
| 90. #764800 | C22 | semidirect |
| 91. #764240 | C22 | semidirect |
| 92. #763814 | C22 | semidirect |
| 93. #763345 | C22 | semidirect |
| 94. #763341 | C22 | semidirect |
| 95. #759288 | C22 | semidirect |
| 96. #759288 | C22 | semidirect |
| 97. #725990 | C22 | semidirect |
| 98. #719142 | C22 | semidirect |
| 99. #695458 | C22 | semidirect |
| 100. #695434 | C22 | semidirect |
| 101. #695432 | C22 | semidirect |
| 102. #688968 | C22 | semidirect |
| 103. #686258 | C22 | semidirect |
| 104. #686202 | C22 | semidirect |
| 105. #686202 | C22 | semidirect |
| 106. #686200 | C22 | semidirect |
| 107. #686200 | C22 | semidirect |
| 108. #678069 | C22 | semidirect |
| 109. #674138 | C22 | semidirect |
| 110. #656434 | C22 | semidirect |
| 111. #656411 | C22 | semidirect |
| 112. #656408 | C22 | semidirect |
| 113. #647938 | C22 | semidirect |
| 114. #647717 | C22 | semidirect |
| 115. #647660 | C22 | semidirect |
| 116. #647660 | C22 | semidirect |
| 117. #647657 | C22 | semidirect |
| 118. #647657 | C22 | semidirect |
| 119. #647657 | C22 | semidirect |
| 120. #647656 | C22 | semidirect |
| 121. #647656 | C22 | semidirect |
| 122. #647656 | C22 | semidirect |
| 123. #635984 | C22 | semidirect |
| 124. #635984 | C22 | semidirect |
| 125. #627711 | C22 | semidirect |
| 126. #626821 | C22 | semidirect |
| 127. #625760 | C22 | semidirect |
| 128. #624388 | C22 | semidirect |
| 129. #619644 | C22 | semidirect |
| 130. #616961 | C22 | semidirect |
| 131. #616960 | C22 | semidirect |
| 132. #613953 | C22 | semidirect |
| 133. #612426 | C22 | semidirect |
| 134. #612426 | C22 | semidirect |
| 135. #612425 | C22 | semidirect |
| 136. #612425 | C22 | semidirect |
| 137. #612425 | C22 | semidirect |
| 138. #612424 | C22 | semidirect |
| 139. #612424 | C22 | semidirect |
| 140. #612424 | C22 | semidirect |
| 141. #612424 | C22 | semidirect |
| 142. #612424 | C22 | semidirect |
| 143. #612424 | C22 | semidirect |
| 144. #612424 | C22 | semidirect |
| 145. C2×#14715 | C22 | semidirect |
| 146. C2×#14715 | C22 | semidirect |
| 147. C2×#14694 | C22 | semidirect |
| 148. C2×#14679 | C22 | semidirect |
| 149. #556177 | C22 | semidirect |
| 150. #556176 | C22 | semidirect |
| 151. #555894 | C22 | semidirect |
| 152. #524781 | C22 | semidirect |
| 153. #524461 | C22 | semidirect |
| 154. #521311 | C22 | semidirect |
| 155. #521311 | C22 | semidirect |
| 156. #517573 | C22 | semidirect |
| 157. #517446 | C22 | semidirect |
| 158. #517411 | C22 | semidirect |
| 159. #516541 | C22 | semidirect |
| 160. #516383 | C22 | semidirect |
| 161. #516383 | C22 | semidirect |
| 162. #516383 | C22 | semidirect |
| 163. #516331 | C22 | semidirect |
| 164. #516323 | C22 | semidirect |
| 165. #515667 | C22 | semidirect |
| 166. #515529 | C22 | semidirect |
| 167. #515529 | C22 | semidirect |
| 168. #515285 | C22 | semidirect |
| 169. #515285 | C22 | semidirect |
| 170. #515285 | C22 | semidirect |
| 171. C2×#13867 | C22 | semidirect |
| 172. C2×#13867 | C22 | semidirect |
| 175. C28 | C23 | semidirect |
| 177. C23×H(5,𝔽2) | C23 | semidirect |
| 189. C25×D4 | C23 | semidirect |
| 190. C25×D4 | C23 | semidirect |
| 191. C25×D4 | C23 | semidirect |
| 192. C25×D4 | C23 | semidirect |
| 193. C25×D4 | C23 | semidirect |
| 194. C25×D4 | C23 | semidirect |
| 196. C26×C4 | C23 | semidirect |
| 197. C2×#3484 | D4 | semidirect |
| 198. C22×#551 | C23 | semidirect |
| 199. C22×#551 | C23 | semidirect |
| 200. C22×#551 | C23 | semidirect |
| 201. C22×#551 | C23 | semidirect |
| 202. C22×#551 | C23 | semidirect |
| 204. C22×#546 | C23 | semidirect |
| 205. C22×#546 | C23 | semidirect |
| 206. C22×#546 | C23 | semidirect |
| 207. C22×#546 | C23 | semidirect |
| 208. C22×#546 | C23 | semidirect |
| 209. C22×#546 | C23 | semidirect |
| 210. C22×#546 | C23 | semidirect |
| 211. C22×#546 | C23 | semidirect |
| 212. C22×#546 | C23 | semidirect |
| 214. C22×D42 | C23 | semidirect |
| 215. C22×D42 | C23 | semidirect |
| 216. C22×D42 | C23 | semidirect |
| 217. C22×D42 | C23 | semidirect |
| 218. C22×D42 | C23 | semidirect |
| 219. C22×H(3,𝔽4) | C23 | semidirect |
| 220. C22×#560 | C23 | semidirect |
| 221. C22×#560 | C23 | semidirect |
| 223. C22×#535 | C23 | semidirect |
| 224. C22×#535 | C23 | semidirect |
| 225. C22×#535 | C23 | semidirect |
| 226. C22×#535 | C23 | semidirect |
| 227. C22×#538 | C23 | semidirect |
| 228. C22×#538 | C23 | semidirect |
| 229. C22×#538 | C23 | semidirect |
| 230. C22×#538 | C23 | semidirect |
| 231. C22×#538 | C23 | semidirect |
| 232. C22×#538 | C23 | semidirect |
| 233. C22×#543 | C23 | semidirect |
| 234. C22×#543 | C23 | semidirect |
| 238. C22×#534 | C23 | semidirect |
| 239. C22×#534 | C23 | semidirect |
| 240. C22×#534 | C23 | semidirect |
| 241. C22×#534 | C23 | semidirect |
| 242. C22×#534 | C23 | semidirect |
| 243. C22×#534 | C23 | semidirect |
| 244. C22×#534 | C23 | semidirect |
| 247. C22×#525 | C23 | semidirect |
| 248. C22×#525 | C23 | semidirect |
| 249. C22×#525 | C23 | semidirect |
| 250. C23×#120 | D4 | semidirect |
| 264. C23×#120 | C23 | semidirect |
| 265. C23×#120 | C23 | semidirect |
| 266. C23×#120 | C23 | semidirect |
| 267. C23×#120 | C23 | semidirect |
| 268. C23×#120 | C23 | semidirect |
| 269. C23×#120 | C23 | semidirect |
| 270. C23×#120 | C23 | semidirect |
| 271. C23×#120 | C23 | semidirect |
| 272. C23×#120 | C23 | semidirect |
| 273. C23×#120 | C23 | semidirect |
| 274. C23×#120 | C23 | semidirect |
| 275. C23×#120 | C23 | semidirect |
| 276. C23×#120 | C23 | semidirect |
| 279. C22×#518 | C23 | semidirect |
| 280. C22×#518 | C23 | semidirect |
| 281. C22×#518 | C23 | semidirect |
| 286. C24×C22⋊C4 | C23 | semidirect |
| 287. C24×C22⋊C4 | C23 | semidirect |
| 288. C24×C22⋊C4 | C23 | semidirect |
| 289. C24×C22⋊C4 | C23 | semidirect |
| 290. C24×C22⋊C4 | C23 | semidirect |
| 291. C24×C22⋊C4 | C23 | semidirect |
| 292. C2×#2849 | C23 | semidirect |
| 293. C2×#2849 | C23 | semidirect |
| 294. C2×#2849 | C23 | semidirect |
| 295. C2×#2848 | C23 | semidirect |
| 296. C2×#2847 | C23 | semidirect |
| 298. C2×#2846 | C23 | semidirect |
| 299. C2×#2846 | C23 | semidirect |
| 300. C2×#2846 | C23 | semidirect |
| 301. C2×#2846 | C23 | semidirect |
| 302. C2×#2846 | C23 | semidirect |
| 303. C2×#2846 | C23 | semidirect |
| 304. C2×#2846 | C23 | semidirect |
| 305. C2×#2404 | C23 | semidirect |
| 306. C2×#2404 | C23 | semidirect |
| 307. C2×#2404 | C23 | semidirect |
| 308. C2×#2404 | C23 | semidirect |
| 309. C2×#2435 | C23 | semidirect |
| 310. C2×#2435 | C23 | semidirect |
| 311. C2×#2433 | C23 | semidirect |
| 312. C2×#2433 | C23 | semidirect |
| 313. C2×#2408 | C23 | semidirect |
| 314. C2×#2408 | C23 | semidirect |
| 315. C2×#2405 | C23 | semidirect |
| 316. C2×#2405 | C23 | semidirect |
| 317. C2×#2405 | C23 | semidirect |
| 318. C2×#2405 | C23 | semidirect |
| 319. C2×#2405 | C23 | semidirect |
| 321. C2×#2410 | C23 | semidirect |
| 322. C2×#2410 | C23 | semidirect |
| 323. C2×#2410 | C23 | semidirect |
| 324. C2×#2410 | C23 | semidirect |
| 328. C2×#2403 | C23 | semidirect |
| 329. C2×#2403 | C23 | semidirect |
| 330. C2×#2403 | C23 | semidirect |
| 331. C2×#2403 | C23 | semidirect |
| 332. C2×#2403 | C23 | semidirect |
| 333. C2×#2403 | C23 | semidirect |
| 334. C2×#2403 | C23 | semidirect |
| 335. C2×#2403 | C23 | semidirect |
| 336. C2×#2403 | C23 | semidirect |
| 337. C2×#2403 | C23 | semidirect |
| 338. C2×#2403 | C23 | semidirect |
| 339. C2×#2403 | C23 | semidirect |
| 340. C2×#2403 | C23 | semidirect |
| 341. C2×#2403 | C23 | semidirect |
| 342. C2×#2403 | C23 | semidirect |
| 343. C2×#2403 | C23 | semidirect |
| 344. C2×#2403 | C23 | semidirect |
| 345. C2×#2403 | C23 | semidirect |
| 346. C2×#2403 | C23 | semidirect |
| 347. C2×#2403 | C23 | semidirect |
| 348. C2×#2613 | C23 | semidirect |
| 349. C2×#2613 | C23 | semidirect |
| 350. C2×#2613 | C23 | semidirect |
| 351. C2×#2613 | C23 | semidirect |
| 354. C22×#392 | C23 | semidirect |
| 355. C22×#392 | C23 | semidirect |
| 356. C22×#392 | C23 | semidirect |
| 357. C22×#392 | C23 | semidirect |
| 358. C22×#392 | C23 | semidirect |
| 359. C22×#392 | C23 | semidirect |
| 360. C22×#392 | C23 | semidirect |
| 361. C22×#392 | C23 | semidirect |
| 362. C2×D4×C22⋊C4 | C23 | semidirect |
| 363. C2×D4×C22⋊C4 | C23 | semidirect |
| 364. C2×#2309 | C23 | semidirect |
| 365. C2×#2309 | C23 | semidirect |
| 368. C2×#2308 | C23 | semidirect |
| 369. C2×#2308 | C23 | semidirect |
| 370. C2×#2308 | C23 | semidirect |
| 371. C2×#2308 | C23 | semidirect |
| 372. C2×#2308 | C23 | semidirect |
| 373. C2×#2308 | C23 | semidirect |
| 374. C2×C4×#120 | C23 | semidirect |
| 378. C22×#386 | C23 | semidirect |
| 379. C22×#386 | C23 | semidirect |
| 380. C22×#386 | C23 | semidirect |
| 381. C22×#386 | C23 | semidirect |
| 382. C22×#386 | C23 | semidirect |
| 383. C22×#386 | C23 | semidirect |
| 384. C22×#386 | C23 | semidirect |
| 385. C22×#386 | C23 | semidirect |
| 386. C22×#386 | C23 | semidirect |
| 387. C22×#386 | C23 | semidirect |
| 388. C22×#386 | C23 | semidirect |
| 389. C2×#2280 | C23 | semidirect |
| 390. C2×#2280 | C23 | semidirect |
| 394. C22×#379 | C23 | semidirect |
| 395. C22×#379 | C23 | semidirect |
| 396. C22×#379 | C23 | semidirect |
| 397. C22×#379 | C23 | semidirect |
| 398. C22×#379 | C23 | semidirect |
| 399. C22×#379 | C23 | semidirect |
| 400. C22×#379 | C23 | semidirect |
| 401. C22×#379 | C23 | semidirect |
| 402. C22×#379 | C23 | semidirect |
| 403. C22×#379 | C23 | semidirect |
| 404. C23×#95 | C23 | semidirect |
| 405. C23×#95 | C23 | semidirect |
| 406. #16655 | C23 | semidirect |
| 407. #16654 | C23 | semidirect |
| 408. #16509 | C23 | semidirect |
| 409. #16258 | C23 | semidirect |
| 410. #16252 | C23 | semidirect |
| 411. #16250 | C23 | semidirect |
| 412. #16250 | C23 | semidirect |
| 413. #16249 | C23 | semidirect |
| 414. #16249 | C23 | semidirect |
| 415. #16249 | C23 | semidirect |
| 416. #16004 | C23 | semidirect |
| 417. #15986 | C23 | semidirect |
| 418. #15951 | C23 | semidirect |
| 419. #15948 | C23 | semidirect |
| 420. #15948 | C23 | semidirect |
| 421. #15947 | C23 | semidirect |
| 422. #15909 | C23 | semidirect |
| 423. #15908 | C23 | semidirect |
| 424. #15763 | C23 | semidirect |
| 425. #15453 | C23 | semidirect |
| 426. #15412 | C23 | semidirect |
| 427. #15412 | C23 | semidirect |
| 428. #15368 | C23 | semidirect |
| 429. #15368 | C23 | semidirect |
| 430. #15323 | C23 | semidirect |
| 431. #15314 | C23 | semidirect |
| 432. #15314 | C23 | semidirect |
| 433. #15310 | C23 | semidirect |
| 434. #15310 | C23 | semidirect |
| 435. #15278 | C23 | semidirect |
| 436. #15273 | C23 | semidirect |
| 437. #15273 | C23 | semidirect |
| 438. #15273 | C23 | semidirect |
| 439. #15270 | C23 | semidirect |
| 440. #15270 | C23 | semidirect |
| 441. #15264 | C23 | semidirect |
| 442. #15264 | C23 | semidirect |
| 443. #15263 | C23 | semidirect |
| 444. #15263 | C23 | semidirect |
| 445. #15259 | C23 | semidirect |
| 446. #15259 | C23 | semidirect |
| 447. #15258 | C23 | semidirect |
| 448. #15258 | C23 | semidirect |
| 449. #15257 | C23 | semidirect |
| 450. #15257 | C23 | semidirect |
| 451. #15257 | C23 | semidirect |
| 452. #15257 | C23 | semidirect |
| 453. #15257 | C23 | semidirect |
| 454. #15257 | C23 | semidirect |
| 455. #15257 | C23 | semidirect |
| 456. #14934 | C23 | semidirect |
| 457. #14926 | C23 | semidirect |
| 458. #14926 | C23 | semidirect |
| 459. #14917 | C23 | semidirect |
| 460. #14915 | C23 | semidirect |
| 461. #14914 | C23 | semidirect |
| 462. #14913 | C23 | semidirect |
| 463. #14912 | C23 | semidirect |
| 464. #14911 | C23 | semidirect |
| 465. #14911 | C23 | semidirect |
| 466. #14911 | C23 | semidirect |
| 467. #14911 | C23 | semidirect |
| 468. #14911 | C23 | semidirect |
| 469. #14911 | C23 | semidirect |
| 470. #14911 | C23 | semidirect |
| 471. #14886 | C23 | semidirect |
| 472. #14885 | C23 | semidirect |
| 473. #14811 | C23 | semidirect |
| 474. #14759 | C23 | semidirect |
| 475. #14730 | C23 | semidirect |
| 476. #14722 | C23 | semidirect |
| 477. #14722 | C23 | semidirect |
| 478. #14721 | C23 | semidirect |
| 479. #14721 | C23 | semidirect |
| 480. #14718 | C23 | semidirect |
| 481. #14718 | C23 | semidirect |
| 482. #14718 | C23 | semidirect |
| 483. #14718 | C23 | semidirect |
| 484. #14717 | C23 | semidirect |
| 485. #14717 | C23 | semidirect |
| 486. #14717 | C23 | semidirect |
| 487. #14717 | C23 | semidirect |
| 488. #14717 | C23 | semidirect |
| 489. #14717 | C23 | semidirect |
| 490. #14717 | C23 | semidirect |
| 491. #14716 | C23 | semidirect |
| 492. #14716 | C23 | semidirect |
| 493. #14716 | C23 | semidirect |
| 494. #14716 | C23 | semidirect |
| 495. #14716 | C23 | semidirect |
| 496. #14716 | C23 | semidirect |
| 497. #14716 | C23 | semidirect |
| 498. #14716 | C23 | semidirect |
| 499. #14716 | C23 | semidirect |
| 500. #14716 | C23 | semidirect |
| 501. #14716 | C23 | semidirect |
| 502. #14716 | C23 | semidirect |
| 505. #14715 | C23 | semidirect |
| 506. #14715 | C23 | semidirect |
| 507. #14715 | C23 | semidirect |
| 508. #14715 | C23 | semidirect |
| 509. #14715 | C23 | semidirect |
| 510. #14715 | C23 | semidirect |
| 511. #14715 | C23 | semidirect |
| 512. #14715 | C23 | semidirect |
| 513. #14715 | C23 | semidirect |
| 514. #14715 | C23 | semidirect |
| 515. #14715 | C23 | semidirect |
| 516. #14715 | C23 | semidirect |
| 517. #14715 | C23 | semidirect |
| 518. #14715 | C23 | semidirect |
| 519. #14715 | C23 | semidirect |
| 520. #14715 | C23 | semidirect |
| 521. #14715 | C23 | semidirect |
| 522. #14694 | C23 | semidirect |
| 523. #14694 | C23 | semidirect |
| 524. #14694 | C23 | semidirect |
| 525. #14694 | C23 | semidirect |
| 526. #14694 | C23 | semidirect |
| 527. #14681 | C23 | semidirect |
| 529. #14679 | C23 | semidirect |
| 530. #14679 | C23 | semidirect |
| 531. #14679 | C23 | semidirect |
| 532. #14505 | C23 | semidirect |
| 533. #14473 | C23 | semidirect |
| 534. #14419 | C23 | semidirect |
| 535. #14417 | C23 | semidirect |
| 536. #14363 | C23 | semidirect |
| 537. #14357 | C23 | semidirect |
| 538. #14357 | C23 | semidirect |
| 539. #14357 | C23 | semidirect |
| 540. #14357 | C23 | semidirect |
| 541. #14341 | C23 | semidirect |
| 542. #14338 | C23 | semidirect |
| 543. #14338 | C23 | semidirect |
| 544. #14335 | C23 | semidirect |
| 545. #14335 | C23 | semidirect |
| 546. #14281 | C23 | semidirect |
| 547. #14271 | C23 | semidirect |
| 548. #14255 | C23 | semidirect |
| 549. #14255 | C23 | semidirect |
| 550. #14255 | C23 | semidirect |
| 551. #14175 | C23 | semidirect |
| 552. #14171 | C23 | semidirect |
| 553. #14159 | C23 | semidirect |
| 554. #14152 | C23 | semidirect |
| 555. #14135 | C23 | semidirect |
| 556. #14135 | C23 | semidirect |
| 557. #14134 | C23 | semidirect |
| 558. #14134 | C23 | semidirect |
| 559. #14134 | C23 | semidirect |
| 560. #14134 | C23 | semidirect |
| 561. #14134 | C23 | semidirect |
| 562. #14128 | C23 | semidirect |
| 563. #14127 | C23 | semidirect |
| 564. #14127 | C23 | semidirect |
| 565. #14064 | C23 | semidirect |
| 566. #14023 | C23 | semidirect |
| 567. #14023 | C23 | semidirect |
| 568. #14016 | C23 | semidirect |
| 569. #13968 | C23 | semidirect |
| 570. #13968 | C23 | semidirect |
| 571. #13967 | C23 | semidirect |
| 572. #13967 | C23 | semidirect |
| 573. #13967 | C23 | semidirect |
| 574. #13967 | C23 | semidirect |
| 575. #13967 | C23 | semidirect |
| 576. #13967 | C23 | semidirect |
| 577. #13967 | C23 | semidirect |
| 578. #13967 | C23 | semidirect |
| 579. #13967 | C23 | semidirect |
| 580. #13967 | C23 | semidirect |
| 581. #13967 | C23 | semidirect |
| 582. #13967 | C23 | semidirect |
| 583. #13967 | C23 | semidirect |
| 584. #13967 | C23 | semidirect |
| 585. #13960 | C23 | semidirect |
| 586. #13958 | C23 | semidirect |
| 587. #13956 | C23 | semidirect |
| 588. #13956 | C23 | semidirect |
| 589. #13956 | C23 | semidirect |
| 590. #13903 | C23 | semidirect |
| 591. #13894 | C23 | semidirect |
| 592. #13869 | C23 | semidirect |
| 593. #13869 | C23 | semidirect |
| 594. #13869 | C23 | semidirect |
| 595. #13869 | C23 | semidirect |
| 596. #13869 | C23 | semidirect |
| 597. #13868 | C23 | semidirect |
| 598. #13868 | C23 | semidirect |
| 599. #13868 | C23 | semidirect |
| 600. #13868 | C23 | semidirect |
| 601. #13868 | C23 | semidirect |
| 603. #13867 | C23 | semidirect |
| 604. #13867 | C23 | semidirect |
| 605. #13867 | C23 | semidirect |
| 606. #13867 | C23 | semidirect |
| 607. #13867 | C23 | semidirect |
| 608. #13867 | C23 | semidirect |
| 609. #13867 | C23 | semidirect |
| 610. #13867 | C23 | semidirect |
| 611. #13867 | C23 | semidirect |
| 612. #13867 | C23 | semidirect |
| 613. #13867 | C23 | semidirect |
| 614. #13867 | C23 | semidirect |
| 615. #13867 | C23 | semidirect |
| 616. #13867 | 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. C2×#1438 | C23 | semidirect |
| 624. C2×#1438 | C23 | semidirect |
| 625. #13794 | C23 | semidirect |
| 626. #13794 | C23 | semidirect |
| 627. #13794 | C23 | semidirect |
| 628. #13794 | C23 | semidirect |
| 629. #13784 | C23 | semidirect |
| 630. #13775 | C23 | semidirect |
| 631. #13775 | C23 | semidirect |
| 632. C2×C22⋊#95 | C23 | semidirect |
| 633. C2×C22⋊#95 | C23 | semidirect |
| 634. C27 | C2×D4 | semidirect |
| 650. C27 | C24 | semidirect |
| 651. C22×H(5,𝔽2) | C2×D4 | semidirect |
| 655. C23×#41 | C24 | semidirect |
| 658. C24×D4 | C2×D4 | semidirect |
| 702. C24×D4 | C24 | semidirect |
| 703. C24×D4 | C24 | semidirect |
| 704. C24×D4 | C24 | semidirect |
| 705. C24×D4 | C24 | semidirect |
| 706. C24×D4 | C24 | semidirect |
| 707. C24×D4 | C24 | semidirect |
| 708. C24×D4 | C24 | semidirect |
| 719. C25×C4 | C24 | semidirect |
| 720. C25×C4 | C24 | semidirect |
| 721. C2×#546 | C2×D4 | semidirect |
| 722. C2×D42 | C2×D4 | semidirect |
| 723. C2×#535 | C2×D4 | semidirect |
| 724. C2×#534 | C2×D4 | semidirect |
| 725. C2×#534 | C2×D4 | semidirect |
| 727. C22×#127 | C24 | semidirect |
| 728. C22×#127 | C24 | semidirect |
| 729. C22×#126 | C24 | semidirect |
| 730. C22×#126 | C24 | semidirect |
| 731. C22×#126 | C24 | semidirect |
| 733. C22×#124 | C24 | semidirect |
| 734. C22×#124 | C24 | semidirect |
| 735. C22×#124 | C24 | semidirect |
| 736. C22×#124 | C24 | semidirect |
| 737. C22×#124 | C24 | semidirect |
| 738. C2×#525 | C2×D4 | semidirect |
| 745. C22×#123 | C24 | semidirect |
| 746. C22×#123 | C24 | semidirect |
| 747. C22×#123 | C24 | semidirect |
| 748. C22×#123 | C24 | semidirect |
| 749. C22×#123 | C24 | semidirect |
| 750. C22×#123 | C24 | semidirect |
| 751. C22×#123 | C24 | semidirect |
| 752. C22×#123 | C24 | semidirect |
| 756. C22×C22⋊Q8 | C24 | semidirect |
| 757. C22×C22⋊Q8 | C24 | semidirect |
| 758. C22×C22⋊Q8 | C24 | semidirect |
| 759. C22×C22⋊Q8 | C24 | semidirect |
| 767. C22×#121 | C24 | semidirect |
| 768. C22×#121 | C24 | semidirect |
| 769. C22×#121 | C24 | semidirect |
| 770. C22×#121 | C24 | semidirect |
| 771. C22×#121 | C24 | semidirect |
| 772. C22×#121 | C24 | semidirect |
| 773. C22×#121 | C24 | semidirect |
| 774. C22×#121 | C24 | semidirect |
| 775. C22×#121 | C24 | semidirect |
| 776. C22×#121 | C24 | semidirect |
| 777. C22×#121 | C24 | semidirect |
| 778. C22×#121 | C24 | semidirect |
| 779. C22×#120 | C2×D4 | semidirect |
| 780. C22×#120 | C2×D4 | semidirect |
| 781. C22×#120 | C2×D4 | semidirect |
| 782. C22×#120 | C2×D4 | semidirect |
| 783. C22×#120 | C2×D4 | semidirect |
| 784. C22×#120 | C2×D4 | semidirect |
| 819. C22×#120 | C24 | semidirect |
| 820. C22×#120 | C24 | semidirect |
| 821. C22×#120 | C24 | semidirect |
| 822. C22×#120 | C24 | semidirect |
| 823. C22×#120 | C24 | semidirect |
| 824. C22×#120 | C24 | semidirect |
| 825. C22×#120 | C24 | semidirect |
| 826. C22×#120 | C24 | semidirect |
| 827. C22×#120 | C24 | semidirect |
| 828. C22×#120 | C24 | semidirect |
| 829. C22×#120 | C24 | semidirect |
| 830. C22×#120 | C24 | semidirect |
| 831. C22×#120 | C24 | semidirect |
| 832. C2×#518 | C2×D4 | semidirect |
| 838. C22×C4×D4 | C24 | semidirect |
| 839. C22×C4×D4 | C24 | semidirect |
| 840. C22×C4×D4 | C24 | semidirect |
| 841. C22×C4×D4 | C24 | semidirect |
| 842. C22×C4×D4 | C24 | semidirect |
| 843. C22×C4×D4 | C24 | semidirect |
| 847. C22×#117 | C24 | semidirect |
| 848. C22×#117 | C24 | semidirect |
| 849. C23×C22⋊C4 | C2×D4 | semidirect |
| 850. C23×C22⋊C4 | C2×D4 | semidirect |
| 890. C23×C22⋊C4 | C24 | semidirect |
| 891. C23×C22⋊C4 | C24 | semidirect |
| 892. C23×C22⋊C4 | C24 | semidirect |
| 893. C23×C22⋊C4 | C24 | semidirect |
| 894. C23×C22⋊C4 | C24 | semidirect |
| 895. C23×C22⋊C4 | C24 | semidirect |
| 896. C23×C22⋊C4 | C24 | semidirect |
| 897. C23×C22⋊C4 | C24 | semidirect |
| 898. C23×C22⋊C4 | C24 | semidirect |
| 899. C23×C22⋊C4 | C24 | semidirect |
| 900. C23×C22⋊C4 | C24 | semidirect |
| 901. C23×C22⋊C4 | C24 | semidirect |
| 902. C23×C22⋊C4 | C24 | semidirect |
| 904. C2×#394 | C24 | semidirect |
| 905. C2×#394 | C24 | semidirect |
| 906. C2×#394 | C24 | semidirect |
| 907. C2×#393 | C24 | semidirect |
| 908. C2×#393 | C24 | semidirect |
| 909. C2×#393 | C24 | semidirect |
| 918. C2×#392 | C24 | semidirect |
| 919. C2×#392 | C24 | semidirect |
| 920. C2×#392 | C24 | semidirect |
| 921. C2×#392 | C24 | semidirect |
| 922. C2×#392 | C24 | semidirect |
| 923. C2×#392 | C24 | semidirect |
| 924. C2×#392 | C24 | semidirect |
| 925. C2×#392 | C24 | semidirect |
| 926. C2×#392 | C24 | semidirect |
| 927. C2×#392 | C24 | semidirect |
| 928. C2×#392 | C24 | semidirect |
| 930. C2×#390 | C24 | semidirect |
| 931. C2×#390 | C24 | semidirect |
| 952. C2×#386 | C24 | semidirect |
| 953. C2×#386 | C24 | semidirect |
| 954. C2×#386 | C24 | semidirect |
| 955. C2×#386 | C24 | semidirect |
| 956. C2×#386 | C24 | semidirect |
| 957. C2×#386 | C24 | semidirect |
| 958. C2×#386 | C24 | semidirect |
| 959. C2×#386 | C24 | semidirect |
| 960. C2×#386 | C24 | semidirect |
| 961. C2×#386 | C24 | semidirect |
| 962. C2×#386 | C24 | semidirect |
| 963. C2×#386 | C24 | semidirect |
| 964. C2×#386 | C24 | semidirect |
| 965. C2×#386 | C24 | semidirect |
| 966. C2×#386 | C24 | semidirect |
| 967. C2×#386 | C24 | semidirect |
| 968. C2×#386 | C24 | semidirect |
| 969. C2×#386 | C24 | semidirect |
| 971. C2×#385 | C24 | semidirect |
| 972. C2×#385 | C24 | semidirect |
| 977. C2×#381 | C24 | semidirect |
| 978. C2×#381 | C24 | semidirect |
| 980. C2×#380 | C24 | semidirect |
| 1002. C2×#379 | C24 | semidirect |
| 1003. C2×#379 | C24 | semidirect |
| 1004. C2×#379 | C24 | semidirect |
| 1005. C2×#379 | C24 | semidirect |
| 1006. C2×#379 | C24 | semidirect |
| 1007. C2×#379 | C24 | semidirect |
| 1008. C2×#379 | C24 | semidirect |
| 1009. C2×#379 | C24 | semidirect |
| 1010. C2×#379 | C24 | semidirect |
| 1011. C2×#379 | C24 | semidirect |
| 1012. C2×#379 | C24 | semidirect |
| 1013. C2×#379 | C24 | semidirect |
| 1015. C2×C4×C22⋊C4 | C24 | semidirect |
| 1022. C22×#95 | C24 | semidirect |
| 1023. C22×#95 | C24 | semidirect |
| 1024. #1446 | C24 | semidirect |
| 1025. #1446 | C24 | semidirect |
| 1026. #1445 | C24 | semidirect |
| 1027. #1445 | C24 | semidirect |
| 1028. #1444 | C24 | semidirect |
| 1029. #1442 | C24 | semidirect |
| 1030. #1442 | C24 | semidirect |
| 1031. #1441 | C24 | semidirect |
| 1032. #1441 | C24 | semidirect |
| 1033. #1440 | C24 | semidirect |
| 1034. #1440 | C24 | semidirect |
| 1035. #1440 | C24 | semidirect |
| 1036. #1440 | C24 | semidirect |
| 1037. #1440 | C24 | semidirect |
| 1038. #1440 | C24 | semidirect |
| 1039. #1439 | C24 | semidirect |
| 1040. #1439 | C24 | semidirect |
| 1041. #1439 | C24 | semidirect |
| 1042. #1439 | C24 | semidirect |
| 1043. #1439 | C24 | semidirect |
| 1044. #1439 | C24 | semidirect |
| 1045. #1439 | C24 | semidirect |
| 1046. #1439 | C24 | semidirect |
| 1047. #1439 | C24 | semidirect |
| 1048. #1439 | C24 | semidirect |
| 1049. #1439 | C24 | semidirect |
| 1050. #1439 | C24 | semidirect |
| 1051. #1439 | C24 | semidirect |
| 1052. #1439 | C24 | semidirect |
| 1053. #1439 | C24 | semidirect |
| 1054. #1439 | C24 | semidirect |
| 1055. #1439 | C24 | semidirect |
| 1056. #1439 | C24 | semidirect |
| 1060. #1438 | C24 | semidirect |
| 1061. #1438 | C24 | semidirect |
| 1062. #1438 | C24 | semidirect |
| 1063. #1438 | C24 | semidirect |
| 1064. #1438 | C24 | semidirect |
| 1065. #1438 | C24 | semidirect |
| 1066. #1438 | C24 | semidirect |
| 1067. #1438 | C24 | semidirect |
| 1068. #1438 | C24 | semidirect |
| 1069. #1438 | C24 | semidirect |
| 1070. #1438 | C24 | semidirect |
| 1071. #1438 | C24 | semidirect |
| 1072. #1438 | C24 | semidirect |
| 1073. #1438 | C24 | semidirect |
| 1074. #1438 | C24 | semidirect |
| 1075. #1438 | C24 | semidirect |
| 1076. #1438 | C24 | semidirect |
| 1077. #1438 | C24 | semidirect |
| 1078. #1438 | C24 | semidirect |
| 1079. #1438 | C24 | semidirect |
| 1080. #1438 | C24 | semidirect |
| 1081. #1437 | C24 | semidirect |
| 1082. #1437 | C24 | semidirect |
| 1083. #1437 | C24 | semidirect |
| 1084. #1437 | C24 | semidirect |
| 1085. #1437 | C24 | semidirect |
| 1086. #1437 | C24 | semidirect |
| 1087. #1436 | C24 | semidirect |
| 1088. #1436 | C24 | semidirect |
| 1089. #1434 | C24 | semidirect |
| 1100. C22⋊#95 | C24 | semidirect |
| 1101. C22⋊#95 | C24 | semidirect |
| 1102. C22⋊#95 | C24 | semidirect |
| 1103. C22⋊#95 | C24 | semidirect |
| 1104. C22⋊#95 | C24 | semidirect |
| 1105. C22⋊#95 | C24 | semidirect |
| 1106. C22⋊#95 | C24 | semidirect |
| 1107. C22⋊#95 | C24 | semidirect |
| 1108. C22⋊#95 | C24 | semidirect |
| 1109. C22⋊#95 | C24 | semidirect |
| 1110. C22⋊#95 | C24 | semidirect |
| 1111. C22⋊#95 | C24 | semidirect |
| 1112. C22⋊#95 | C24 | semidirect |
| 1122. C26 | H(5,𝔽2) | semidirect |
| 1151. C22×#41 | C22×D4 | semidirect |
| 1152. C22×#41 | C22×D4 | semidirect |
| 1155. C23×D4 | #120 | semidirect |
| 1170. C23×D4 | C22×D4 | semidirect |
| 1171. C23×D4 | C22×D4 | semidirect |
| 1172. C23×D4 | C22×D4 | semidirect |
| 1173. C23×D4 | H(5,𝔽2) | semidirect |
| 1174. C23×D4 | H(5,𝔽2) | semidirect |
| 1233. C2×#127 | C22×D4 | semidirect |
| 1234. C2×#124 | C22×D4 | semidirect |
| 1235. C2×#123 | C22×D4 | semidirect |
| 1236. C2×#123 | C22×D4 | semidirect |
| 1237. C2×#123 | C22×D4 | semidirect |
| 1238. C2×C22⋊Q8 | C22×D4 | semidirect |
| 1239. C2×#121 | C22×D4 | semidirect |
| 1240. C2×#121 | C22×D4 | semidirect |
| 1241. C2×#121 | C22×D4 | semidirect |
| 1242. C2×#121 | C22×D4 | semidirect |
| 1252. C2×#120 | C22×D4 | semidirect |
| 1253. C2×#120 | C22×D4 | semidirect |
| 1254. C2×#120 | C22×D4 | semidirect |
| 1255. C2×#120 | C22×D4 | semidirect |
| 1256. C2×C4×D4 | C22×D4 | semidirect |
| 1257. C2×C4×D4 | C22×D4 | semidirect |
| 1258. C2×#117 | C22×D4 | semidirect |
| 1276. C22×C22⋊C4 | C22×D4 | semidirect |
| 1277. C22×C22⋊C4 | C22×D4 | semidirect |
| 1339. C25 | C2×#120 | semidirect |
| 1364. C25 | C23×D4 | semidirect |
| 1384. C22×Q8 | C23×D4 | semidirect |
| 1386. C22×D4 | C2×#120 | semidirect |
| 1387. C22×D4 | C2×#120 | semidirect |
| 1400. C22×D4 | C23×D4 | semidirect |
| 1401. C22×D4 | C23×D4 | semidirect |
| 1402. C22×D4 | C23×D4 | semidirect |
| 1405. C23×C4 | C2×#120 | semidirect |
| 1416. C23×C4 | C23×D4 | semidirect |
| 1417. C23×C4 | C23×D4 | semidirect |
| 1418. C23×C4 | C23×D4 | semidirect |
| 1429. C2×C4⋊C4 | C23×D4 | semidirect |
| 1430. C2×C4⋊C4 | C23×D4 | semidirect |
| 1439. C2×C22⋊C4 | C23×D4 | semidirect |
| 1440. C2×C22⋊C4 | C23×D4 | semidirect |
| 1441. C2×C22⋊C4 | C23×D4 | semidirect |
| 1442. C2×C42 | C23×D4 | semidirect |
| 1452. C24 | #3484 | semidirect |
| 1491. C23 | #35346 | semidirect |
| 1505. C23 | #62817 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.