Order 1024.
At least 6794 conjugacy classes of subgroups; only the 4425 normal subgroups are shown.
The subgroup lattice has 1646 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, socle | C23 | C24×D4 |
| commutator, Frattini, cosocle | C22×C4 | C26 |
| LCS | G ▷ C22×C4 ▷ C2 ▷ C1 | |
| UCS | C1 ◁ C23 ◁ C22×#525 ◁ G | |
| LECS | G ▷ C22×C4 ▷ C2 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×#3484 | C2 | semidirect |
| 2. C2×#61066 | C2 | semidirect |
| 3. C2×D4×AGL(1,ℤ/8) | C2 | semidirect |
| 4. C2×#60367 | C2 | semidirect |
| 5. C22×#3003 | C2 | semidirect |
| 6. #7635131 | C2 | semidirect |
| 7. #6628931 | C2 | semidirect |
| 8. #6628847 | C2 | semidirect |
| 9. #6628842 | C2 | semidirect |
| 10. #6573813 | C2 | semidirect |
| 11. #6573803 | C2 | semidirect |
| 12. #6573797 | C2 | semidirect |
| 13. #6573787 | C2 | semidirect |
| 14. #6573781 | C2 | semidirect |
| 15. #6573771 | C2 | semidirect |
| 16. #6573765 | C2 | semidirect |
| 17. #6573755 | C2 | semidirect |
| 18. #6443170 | C2 | semidirect |
| 19. #6443168 | C2 | semidirect |
| 20. #6443103 | C2 | semidirect |
| 21. #6442658 | C2 | semidirect |
| 22. #6442656 | C2 | semidirect |
| 23. #6442522 | C2 | semidirect |
| 24. #6437844 | C2 | semidirect |
| 25. #6437839 | C2 | semidirect |
| 26. #6437838 | C2 | semidirect |
| 27. #6437838 | C2 | semidirect |
| 28. #6437754 | C2 | semidirect |
| 29. #6437750 | C2 | semidirect |
| 30. #6437516 | C2 | semidirect |
| 31. #6437511 | C2 | semidirect |
| 32. #6437510 | C2 | semidirect |
| 33. #6437510 | C2 | semidirect |
| 34. #6437416 | C2 | semidirect |
| 35. #6437414 | C2 | semidirect |
| 36. #6379060 | C2 | semidirect |
| 37. D4×#418 | C2 | semidirect |
| 38. #6378988 | C2 | semidirect |
| 39. #6372644 | C2 | semidirect |
| 40. C23×H(5,𝔽2) | C22 | semidirect |
| 41. C25×D4 | C22 | semidirect |
| 42. C22×#575 | C22 | semidirect |
| 43. C23×AGL(1,ℤ/8) | C22 | semidirect |
| 44. C23×AGL(1,ℤ/8) | C22 | semidirect |
| 45. C23×AGL(1,ℤ/8) | C22 | semidirect |
| 47. C2×#3484 | C22 | semidirect |
| 48. C2×#3484 | C22 | semidirect |
| 49. C2×#3484 | C22 | semidirect |
| 50. C2×D4×#41 | C22 | semidirect |
| 52. C22×#546 | C22 | semidirect |
| 53. C22×#546 | C22 | semidirect |
| 54. C22×#546 | C22 | semidirect |
| 56. C22×D42 | C22 | semidirect |
| 57. C22×D42 | C22 | semidirect |
| 58. C22×D42 | C22 | semidirect |
| 59. C2×#3449 | C22 | semidirect |
| 60. C22×#535 | C22 | semidirect |
| 61. C22×#535 | C22 | semidirect |
| 63. C22×#525 | C22 | semidirect |
| 64. C22×#525 | C22 | semidirect |
| 65. C22×#518 | C22 | semidirect |
| 66. C2×#3282 | C22 | semidirect |
| 67. C2×D4×SD16 | C22 | semidirect |
| 68. C2×#3280 | C22 | semidirect |
| 69. C2×D4×D8 | C22 | semidirect |
| 70. C2×#3275 | C22 | semidirect |
| 71. C2×#3274 | C22 | semidirect |
| 72. C2×#3273 | C22 | semidirect |
| 73. C2×#3272 | C22 | semidirect |
| 74. C2×#3268 | C22 | semidirect |
| 75. C2×#3267 | C22 | semidirect |
| 76. C2×#3266 | C22 | semidirect |
| 77. C2×#3265 | C22 | semidirect |
| 78. C2×#3265 | C22 | semidirect |
| 79. C2×#3264 | C22 | semidirect |
| 80. C2×#3264 | C22 | semidirect |
| 81. C2×#3264 | C22 | semidirect |
| 82. C2×#3153 | C22 | semidirect |
| 83. C2×#3151 | C22 | semidirect |
| 84. C2×#3056 | C22 | semidirect |
| 85. C2×#3055 | C22 | semidirect |
| 86. C2×#3055 | C22 | semidirect |
| 87. C2×#3055 | C22 | semidirect |
| 88. C2×#3040 | C22 | semidirect |
| 89. C2×#3038 | C22 | semidirect |
| 90. C2×#3036 | C22 | semidirect |
| 91. C2×#3036 | C22 | semidirect |
| 92. C2×#3012 | C22 | semidirect |
| 93. C2×#3012 | C22 | semidirect |
| 94. C2×#3009 | C22 | semidirect |
| 95. C2×#3008 | C22 | semidirect |
| 96. C2×#3007 | C22 | semidirect |
| 97. C2×#3006 | C22 | semidirect |
| 98. C2×#3006 | C22 | semidirect |
| 99. C2×#3006 | C22 | semidirect |
| 100. C2×#3005 | C22 | semidirect |
| 101. C2×#3005 | C22 | semidirect |
| 102. C2×#3005 | C22 | semidirect |
| 103. C2×#3005 | C22 | semidirect |
| 104. C2×#3005 | C22 | semidirect |
| 105. C2×#3005 | C22 | semidirect |
| 106. C2×#3005 | C22 | semidirect |
| 108. C2×#3003 | C22 | semidirect |
| 109. C2×#3003 | C22 | semidirect |
| 110. C2×#3003 | C22 | semidirect |
| 111. C2×#3003 | C22 | semidirect |
| 112. C2×#3003 | C22 | semidirect |
| 113. C2×#3003 | C22 | semidirect |
| 114. C2×#3003 | C22 | semidirect |
| 115. C2×#3003 | C22 | semidirect |
| 116. C2×#3003 | C22 | semidirect |
| 117. C2×#3003 | C22 | semidirect |
| 118. C2×#3003 | C22 | semidirect |
| 119. C2×#3003 | C22 | semidirect |
| 120. C2×#3003 | C22 | semidirect |
| 121. C2×#3003 | C22 | semidirect |
| 122. C2×#3003 | C22 | semidirect |
| 123. C2×#3003 | C22 | semidirect |
| 124. C2×#3003 | C22 | semidirect |
| 125. C2×#3003 | C22 | semidirect |
| 126. C2×#3003 | C22 | semidirect |
| 127. C22×#450 | C22 | semidirect |
| 128. C22×#447 | C22 | semidirect |
| 129. C2×C4×AGL(1,ℤ/8) | C22 | semidirect |
| 130. C2×C4×AGL(1,ℤ/8) | C22 | semidirect |
| 131. C2×D4×M16 | C22 | semidirect |
| 132. C2×D4×M16 | C22 | semidirect |
| 133. C2×#2896 | C22 | semidirect |
| 134. C22×#418 | C22 | semidirect |
| 135. C22×#418 | C22 | semidirect |
| 136. C22×#418 | C22 | semidirect |
| 137. C2×#2879 | C22 | semidirect |
| 138. C22×#407 | C22 | semidirect |
| 139. #37659 | C22 | semidirect |
| 140. #37658 | C22 | semidirect |
| 141. #37657 | C22 | semidirect |
| 142. #37656 | C22 | semidirect |
| 143. #37651 | C22 | semidirect |
| 144. #37650 | C22 | semidirect |
| 145. #37649 | C22 | semidirect |
| 146. #37648 | C22 | semidirect |
| 147. #36614 | C22 | semidirect |
| 148. #34936 | C22 | semidirect |
| 149. #34935 | C22 | semidirect |
| 150. #34737 | C22 | semidirect |
| 151. #34737 | C22 | semidirect |
| 152. #34736 | C22 | semidirect |
| 153. #34736 | C22 | semidirect |
| 154. #34633 | C22 | semidirect |
| 155. #34632 | C22 | semidirect |
| 156. D4×#117 | C22 | semidirect |
| 157. #34065 | C22 | semidirect |
| 158. #32917 | C22 | semidirect |
| 159. #32917 | C22 | semidirect |
| 160. #32914 | C22 | semidirect |
| 161. #32911 | C22 | semidirect |
| 162. #32886 | C22 | semidirect |
| 163. #32886 | C22 | semidirect |
| 164. #32884 | C22 | semidirect |
| 165. #32884 | C22 | semidirect |
| 166. #32881 | C22 | semidirect |
| 167. #32881 | C22 | semidirect |
| 168. #32878 | C22 | semidirect |
| 169. #32878 | C22 | semidirect |
| 170. #25770 | C22 | semidirect |
| 171. #25769 | C22 | semidirect |
| 172. #25763 | C22 | semidirect |
| 173. #25763 | C22 | semidirect |
| 174. #25762 | C22 | semidirect |
| 175. #25762 | C22 | semidirect |
| 176. #25757 | C22 | semidirect |
| 177. #25753 | C22 | semidirect |
| 178. #25736 | C22 | semidirect |
| 179. #25736 | C22 | semidirect |
| 180. #25734 | C22 | semidirect |
| 181. #25732 | C22 | semidirect |
| 182. #24452 | C22 | semidirect |
| 183. #24450 | C22 | semidirect |
| 184. #24448 | C22 | semidirect |
| 185. #24448 | C22 | semidirect |
| 186. #24444 | C22 | semidirect |
| 187. #24442 | C22 | semidirect |
| 188. #24440 | C22 | semidirect |
| 189. #24440 | C22 | semidirect |
| 190. #24436 | C22 | semidirect |
| 191. #24434 | C22 | semidirect |
| 192. #24432 | C22 | semidirect |
| 193. #24432 | C22 | semidirect |
| 194. #24428 | C22 | semidirect |
| 195. #24426 | C22 | semidirect |
| 196. #24424 | C22 | semidirect |
| 197. #24424 | C22 | semidirect |
| 198. #24394 | C22 | semidirect |
| 199. #24394 | C22 | semidirect |
| 200. #24390 | C22 | semidirect |
| 201. #24390 | C22 | semidirect |
| 202. #24389 | C22 | semidirect |
| 203. #24388 | C22 | semidirect |
| 204. #24383 | C22 | semidirect |
| 205. #24382 | C22 | semidirect |
| 206. #24259 | C22 | semidirect |
| 207. #24257 | C22 | semidirect |
| 208. #24252 | C22 | semidirect |
| 209. #24248 | C22 | semidirect |
| 210. #24247 | C22 | semidirect |
| 211. #24245 | C22 | semidirect |
| 212. #24240 | C22 | semidirect |
| 213. #24236 | C22 | semidirect |
| 214. #24220 | C22 | semidirect |
| 215. #24220 | C22 | semidirect |
| 216. #24218 | C22 | semidirect |
| 217. #24218 | C22 | semidirect |
| 218. #23926 | C22 | semidirect |
| 219. #23925 | C22 | semidirect |
| 220. #23924 | C22 | semidirect |
| 221. #23924 | C22 | semidirect |
| 222. #23923 | C22 | semidirect |
| 223. #23923 | C22 | semidirect |
| 224. #23922 | C22 | semidirect |
| 225. #23920 | C22 | semidirect |
| 226. #23863 | C22 | semidirect |
| 227. #23863 | C22 | semidirect |
| 228. #23862 | C22 | semidirect |
| 229. #23861 | C22 | semidirect |
| 230. #23860 | C22 | semidirect |
| 231. #23860 | C22 | semidirect |
| 232. #23860 | C22 | semidirect |
| 233. #23860 | C22 | semidirect |
| 234. #23852 | C22 | semidirect |
| 235. #23851 | C22 | semidirect |
| 236. #23850 | C22 | semidirect |
| 237. #23850 | C22 | semidirect |
| 238. #23849 | C22 | semidirect |
| 239. #23849 | C22 | semidirect |
| 240. #23848 | C22 | semidirect |
| 241. #23848 | C22 | semidirect |
| 242. #23506 | C22 | semidirect |
| 243. #23505 | C22 | semidirect |
| 244. #23481 | C22 | semidirect |
| 245. #23480 | C22 | semidirect |
| 246. #23480 | C22 | semidirect |
| 247. #23480 | C22 | semidirect |
| 248. #23431 | C22 | semidirect |
| 249. #23431 | C22 | semidirect |
| 250. #23431 | C22 | semidirect |
| 251. #23430 | C22 | semidirect |
| 252. #23430 | C22 | semidirect |
| 253. #23430 | C22 | semidirect |
| 254. #23392 | C22 | semidirect |
| 255. #23392 | C22 | semidirect |
| 256. #23392 | C22 | semidirect |
| 257. #23391 | C22 | semidirect |
| 258. #23391 | C22 | semidirect |
| 259. #23391 | C22 | semidirect |
| 260. #23391 | C22 | semidirect |
| 261. #23391 | C22 | semidirect |
| 262. #23391 | C22 | semidirect |
| 263. #23391 | C22 | semidirect |
| 264. #23391 | C22 | semidirect |
| 265. #23391 | C22 | semidirect |
| 266. #22428 | C22 | semidirect |
| 267. #22427 | C22 | semidirect |
| 268. #22424 | C22 | semidirect |
| 269. #22423 | C22 | semidirect |
| 270. #22423 | C22 | semidirect |
| 271. #22419 | C22 | semidirect |
| 272. #22414 | C22 | semidirect |
| 273. D4×#102 | C22 | semidirect |
| 274. #22400 | C22 | semidirect |
| 275. #22400 | C22 | semidirect |
| 276. #22398 | C22 | semidirect |
| 277. #22398 | C22 | semidirect |
| 278. #21459 | C22 | semidirect |
| 279. #21459 | C22 | semidirect |
| 280. #21458 | C22 | semidirect |
| 281. #21458 | C22 | semidirect |
| 282. #21261 | C22 | semidirect |
| 283. #21260 | C22 | semidirect |
| 284. #21204 | C22 | semidirect |
| 285. #21203 | C22 | semidirect |
| 286. #21190 | C22 | semidirect |
| 287. #21190 | C22 | semidirect |
| 288. #20973 | C22 | semidirect |
| 289. #20973 | C22 | semidirect |
| 290. #20973 | C22 | semidirect |
| 291. #20972 | C22 | semidirect |
| 292. #20925 | C22 | semidirect |
| 293. #20925 | C22 | semidirect |
| 294. #20925 | C22 | semidirect |
| 295. #20925 | C22 | semidirect |
| 296. #20925 | C22 | semidirect |
| 297. #20925 | C22 | semidirect |
| 298. #20912 | C22 | semidirect |
| 299. #20912 | C22 | semidirect |
| 300. #20912 | C22 | semidirect |
| 301. #20911 | C22 | semidirect |
| 302. #20910 | C22 | semidirect |
| 303. #20910 | C22 | semidirect |
| 304. #20910 | C22 | semidirect |
| 305. #20898 | C22 | semidirect |
| 306. #20898 | C22 | semidirect |
| 307. #20898 | C22 | semidirect |
| 308. #20898 | C22 | semidirect |
| 309. #20873 | C22 | semidirect |
| 310. #20873 | C22 | semidirect |
| 311. #20845 | C22 | semidirect |
| 312. #20646 | C22 | semidirect |
| 313. #20646 | C22 | semidirect |
| 314. #20627 | C22 | semidirect |
| 315. #20600 | C22 | semidirect |
| 316. #20600 | C22 | semidirect |
| 317. #20600 | C22 | semidirect |
| 318. #20598 | C22 | semidirect |
| 319. #20598 | C22 | semidirect |
| 320. #20598 | C22 | semidirect |
| 321. #20598 | C22 | semidirect |
| 322. #20598 | C22 | semidirect |
| 323. #20598 | C22 | semidirect |
| 324. #20598 | C22 | semidirect |
| 325. #20598 | C22 | semidirect |
| 326. #20580 | C22 | semidirect |
| 327. #20579 | C22 | semidirect |
| 328. C4×#418 | C22 | semidirect |
| 329. C4×#418 | C22 | semidirect |
| 330. #20377 | C22 | semidirect |
| 338. C23×#41 | C23 | semidirect |
| 350. C22×#137 | C23 | semidirect |
| 351. C22×#137 | C23 | semidirect |
| 352. C22×#137 | C23 | semidirect |
| 353. C22×#137 | C23 | semidirect |
| 366. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 367. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 368. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 369. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 370. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 371. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 372. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 373. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 374. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 375. C22×AGL(1,ℤ/8) | C23 | semidirect |
| 376. C22×#135 | C23 | semidirect |
| 377. C22×#135 | C23 | semidirect |
| 378. C23×SD16 | C23 | semidirect |
| 379. C23×SD16 | C23 | semidirect |
| 380. C23×SD16 | C23 | semidirect |
| 381. C23×D8 | C23 | semidirect |
| 382. C23×D8 | C23 | semidirect |
| 383. C23×D8 | C23 | semidirect |
| 386. C23×M16 | C23 | semidirect |
| 387. C23×M16 | C23 | semidirect |
| 388. C2×#550 | C23 | semidirect |
| 389. C2×D4×Q8 | C23 | semidirect |
| 390. C2×#548 | C23 | semidirect |
| 391. C2×#548 | C23 | semidirect |
| 392. C2×#547 | C23 | semidirect |
| 393. C2×#546 | D4 | semidirect |
| 404. C2×#546 | C23 | semidirect |
| 405. C2×#546 | C23 | semidirect |
| 406. C2×D42 | D4 | semidirect |
| 417. C2×D42 | C23 | semidirect |
| 418. C2×#537 | C23 | semidirect |
| 419. C2×#537 | C23 | semidirect |
| 420. C2×#536 | C23 | semidirect |
| 425. C2×#535 | C23 | semidirect |
| 426. C2×#532 | C23 | semidirect |
| 448. C2×#525 | C23 | semidirect |
| 449. C2×#525 | C23 | semidirect |
| 450. C2×#525 | C23 | semidirect |
| 451. C2×#525 | C23 | semidirect |
| 452. C2×#525 | C23 | semidirect |
| 453. C2×#525 | C23 | semidirect |
| 460. C22×C22⋊Q8 | C23 | semidirect |
| 469. C22×#121 | C23 | semidirect |
| 474. C2×C4×#41 | C23 | semidirect |
| 486. C22×#117 | C23 | semidirect |
| 487. C2×#497 | C23 | semidirect |
| 488. C2×#496 | C23 | semidirect |
| 489. C2×#496 | C23 | semidirect |
| 490. C2×#496 | C23 | semidirect |
| 491. C2×#495 | C23 | semidirect |
| 492. C2×#495 | C23 | semidirect |
| 493. C2×#493 | C23 | semidirect |
| 494. C2×#492 | C23 | semidirect |
| 495. C2×#470 | C23 | semidirect |
| 496. C2×#469 | C23 | semidirect |
| 497. C2×#469 | C23 | semidirect |
| 498. C2×#469 | C23 | semidirect |
| 499. C2×#468 | C23 | semidirect |
| 500. C2×#468 | C23 | semidirect |
| 501. C2×#468 | C23 | semidirect |
| 502. C2×#468 | C23 | semidirect |
| 503. C2×#467 | C23 | semidirect |
| 504. C2×#466 | C23 | semidirect |
| 505. C2×#466 | C23 | semidirect |
| 506. C2×#466 | C23 | semidirect |
| 507. C2×#465 | C23 | semidirect |
| 508. C2×#465 | C23 | semidirect |
| 509. C2×#465 | C23 | semidirect |
| 510. C2×#465 | C23 | semidirect |
| 511. C2×#464 | C23 | semidirect |
| 512. C2×#464 | C23 | semidirect |
| 513. C2×#460 | C23 | semidirect |
| 514. C2×#460 | C23 | semidirect |
| 515. C2×#463 | C23 | semidirect |
| 516. C2×#463 | C23 | semidirect |
| 517. C2×#463 | C23 | semidirect |
| 518. C2×#463 | C23 | semidirect |
| 519. C2×#463 | C23 | semidirect |
| 520. C2×#463 | C23 | semidirect |
| 521. C2×#461 | C23 | semidirect |
| 522. C2×#461 | C23 | semidirect |
| 523. C2×#459 | C23 | semidirect |
| 524. C2×#459 | C23 | semidirect |
| 525. C2×#459 | C23 | semidirect |
| 526. C2×#459 | C23 | semidirect |
| 527. #3003 | D4 | semidirect |
| 528. C2×#452 | C23 | semidirect |
| 529. C2×#452 | C23 | semidirect |
| 530. C2×#452 | C23 | semidirect |
| 531. C2×#452 | C23 | semidirect |
| 532. C2×#452 | C23 | semidirect |
| 533. C2×#452 | C23 | semidirect |
| 534. C2×#452 | C23 | semidirect |
| 535. C2×#452 | C23 | semidirect |
| 536. C2×#452 | C23 | semidirect |
| 537. C2×#452 | C23 | semidirect |
| 538. C2×#449 | C23 | semidirect |
| 539. C2×#449 | C23 | semidirect |
| 540. C2×#449 | C23 | semidirect |
| 541. C2×#449 | C23 | semidirect |
| 542. C2×#449 | C23 | semidirect |
| 543. C2×#449 | C23 | semidirect |
| 544. C2×#449 | C23 | semidirect |
| 545. C2×#449 | C23 | semidirect |
| 546. C2×#449 | C23 | semidirect |
| 547. C2×#449 | C23 | semidirect |
| 548. C2×#449 | C23 | semidirect |
| 549. C2×#449 | C23 | semidirect |
| 550. C2×#449 | C23 | semidirect |
| 551. C2×#449 | C23 | semidirect |
| 552. C2×#451 | C23 | semidirect |
| 553. C2×#448 | C23 | semidirect |
| 554. C2×#448 | C23 | semidirect |
| 555. C2×#448 | C23 | semidirect |
| 559. C2×#450 | C23 | semidirect |
| 560. C2×#450 | C23 | semidirect |
| 561. C2×#450 | C23 | semidirect |
| 562. C2×#450 | C23 | semidirect |
| 563. C2×#450 | C23 | semidirect |
| 564. C2×#450 | C23 | semidirect |
| 565. C2×#450 | C23 | semidirect |
| 566. C2×#450 | C23 | semidirect |
| 567. C2×#450 | C23 | semidirect |
| 568. C2×#450 | C23 | semidirect |
| 569. C2×#450 | C23 | semidirect |
| 570. C2×#450 | C23 | semidirect |
| 571. C2×#450 | C23 | semidirect |
| 572. C2×#450 | C23 | semidirect |
| 573. C2×#450 | C23 | semidirect |
| 574. C2×#450 | C23 | semidirect |
| 575. C2×#450 | C23 | semidirect |
| 576. C2×#450 | C23 | semidirect |
| 577. C2×#450 | C23 | semidirect |
| 581. C2×#447 | C23 | semidirect |
| 582. C2×#447 | C23 | semidirect |
| 583. C2×#447 | C23 | semidirect |
| 584. C2×#447 | C23 | semidirect |
| 585. C2×#447 | C23 | semidirect |
| 586. C2×#447 | C23 | semidirect |
| 587. C2×#447 | C23 | semidirect |
| 588. C2×#447 | C23 | semidirect |
| 589. C2×#447 | C23 | semidirect |
| 590. C2×#447 | C23 | semidirect |
| 591. C2×#447 | C23 | semidirect |
| 592. C2×#447 | C23 | semidirect |
| 593. C2×#447 | C23 | semidirect |
| 594. C2×#447 | C23 | semidirect |
| 595. C2×#447 | C23 | semidirect |
| 596. C2×#447 | C23 | semidirect |
| 597. C2×#447 | C23 | semidirect |
| 598. C2×#447 | C23 | semidirect |
| 599. C2×#447 | C23 | semidirect |
| 600. C2×#447 | C23 | semidirect |
| 601. C2×#447 | C23 | semidirect |
| 602. C2×#442 | C23 | semidirect |
| 603. C2×#442 | C23 | semidirect |
| 604. C2×#440 | C23 | semidirect |
| 605. C2×#440 | C23 | semidirect |
| 606. C2×C4×SD16 | C23 | semidirect |
| 607. C2×C4×SD16 | C23 | semidirect |
| 608. C2×C4×D8 | C23 | semidirect |
| 609. C2×C4×D8 | C23 | semidirect |
| 610. C2×#436 | C23 | semidirect |
| 611. C2×#436 | C23 | semidirect |
| 612. C2×#435 | C23 | semidirect |
| 613. C2×#435 | C23 | semidirect |
| 614. C2×#435 | C23 | semidirect |
| 615. C2×#435 | C23 | semidirect |
| 616. C2×C8×D4 | C23 | semidirect |
| 617. C2×C8×D4 | C23 | semidirect |
| 618. C2×#428 | C23 | semidirect |
| 619. C2×#428 | C23 | semidirect |
| 620. C2×#423 | C23 | semidirect |
| 621. C2×#423 | C23 | semidirect |
| 622. C2×#417 | C23 | semidirect |
| 623. C2×#417 | C23 | semidirect |
| 624. C2×#417 | C23 | semidirect |
| 625. C2×#417 | C23 | semidirect |
| 626. C2×#417 | C23 | semidirect |
| 627. C2×#417 | C23 | semidirect |
| 628. C2×#417 | C23 | semidirect |
| 629. C2×#419 | C23 | semidirect |
| 630. C2×#419 | C23 | semidirect |
| 631. C2×#419 | C23 | semidirect |
| 632. C2×#419 | C23 | semidirect |
| 633. C2×#419 | C23 | semidirect |
| 654. C2×#418 | C23 | semidirect |
| 655. C2×#418 | C23 | semidirect |
| 656. C2×#418 | C23 | semidirect |
| 657. C2×#418 | C23 | semidirect |
| 658. C2×#418 | C23 | semidirect |
| 659. C2×#418 | C23 | semidirect |
| 660. C2×#418 | C23 | semidirect |
| 661. C2×#418 | C23 | semidirect |
| 662. C2×#416 | C23 | semidirect |
| 663. C22×#102 | C23 | semidirect |
| 664. C22×#102 | C23 | semidirect |
| 665. C22×#102 | C23 | semidirect |
| 666. C2×#408 | C23 | semidirect |
| 667. C2×#408 | C23 | semidirect |
| 678. C2×#407 | C23 | semidirect |
| 679. C2×#407 | C23 | semidirect |
| 680. C2×#407 | C23 | semidirect |
| 681. C2×#407 | C23 | semidirect |
| 682. C2×#407 | C23 | semidirect |
| 683. C2×#407 | C23 | semidirect |
| 684. C2×#407 | C23 | semidirect |
| 685. C22×C22⋊C8 | C23 | semidirect |
| 686. C2×C4×M16 | C23 | semidirect |
| 687. C2×C4×M16 | C23 | semidirect |
| 688. #2848 | C23 | semidirect |
| 689. #2848 | C23 | semidirect |
| 690. #2847 | C23 | semidirect |
| 691. #2847 | C23 | semidirect |
| 692. #2621 | C23 | semidirect |
| 693. #2620 | C23 | semidirect |
| 694. #2620 | C23 | semidirect |
| 695. #2619 | C23 | semidirect |
| 696. #2616 | C23 | semidirect |
| 697. #2616 | C23 | semidirect |
| 698. #2615 | C23 | semidirect |
| 699. #2615 | C23 | semidirect |
| 700. #2542 | C23 | semidirect |
| 701. #2541 | C23 | semidirect |
| 702. #2540 | C23 | semidirect |
| 703. #2540 | C23 | semidirect |
| 704. #2538 | C23 | semidirect |
| 705. #2537 | C23 | semidirect |
| 706. #2536 | C23 | semidirect |
| 707. #2535 | C23 | semidirect |
| 708. #2417 | C23 | semidirect |
| 709. #2417 | C23 | semidirect |
| 710. #2416 | C23 | semidirect |
| 711. #2416 | C23 | semidirect |
| 712. #2415 | C23 | semidirect |
| 713. #2415 | C23 | semidirect |
| 714. #2414 | C23 | semidirect |
| 715. #2414 | C23 | semidirect |
| 716. #2409 | C23 | semidirect |
| 717. #2409 | C23 | semidirect |
| 718. #2408 | C23 | semidirect |
| 719. #2408 | C23 | semidirect |
| 720. #2407 | C23 | semidirect |
| 721. #2407 | C23 | semidirect |
| 722. #2407 | C23 | semidirect |
| 723. #2407 | C23 | semidirect |
| 724. #2354 | C23 | semidirect |
| 725. #2352 | C23 | semidirect |
| 726. #2352 | C23 | semidirect |
| 727. D4×C4⋊C4 | C23 | semidirect |
| 728. #2324 | C23 | semidirect |
| 729. #2324 | C23 | semidirect |
| 730. #2323 | C23 | semidirect |
| 731. #2323 | C23 | semidirect |
| 732. #2297 | C23 | semidirect |
| 733. #2297 | C23 | semidirect |
| 734. #2297 | C23 | semidirect |
| 735. #2296 | C23 | semidirect |
| 736. #2285 | C23 | semidirect |
| 740. #2280 | C23 | semidirect |
| 741. #2280 | C23 | semidirect |
| 742. C4×#117 | C23 | semidirect |
| 743. #2042 | C23 | semidirect |
| 744. #2042 | C23 | semidirect |
| 745. #2041 | C23 | semidirect |
| 746. #2041 | C23 | semidirect |
| 747. #2036 | C23 | semidirect |
| 748. #2035 | C23 | semidirect |
| 749. #2034 | C23 | semidirect |
| 750. #2034 | C23 | semidirect |
| 751. #2034 | C23 | semidirect |
| 752. #2033 | C23 | semidirect |
| 753. #2033 | C23 | semidirect |
| 754. #2033 | C23 | semidirect |
| 755. #2015 | C23 | semidirect |
| 756. #2015 | C23 | semidirect |
| 757. #2015 | C23 | semidirect |
| 758. #2014 | C23 | semidirect |
| 759. #2014 | C23 | semidirect |
| 760. #2014 | C23 | semidirect |
| 761. #2012 | C23 | semidirect |
| 762. #2012 | C23 | semidirect |
| 763. #2012 | C23 | semidirect |
| 764. #2011 | C23 | semidirect |
| 765. #2011 | C23 | semidirect |
| 766. #2011 | C23 | semidirect |
| 767. #2001 | C23 | semidirect |
| 768. #2001 | C23 | semidirect |
| 769. #2001 | C23 | semidirect |
| 770. #2000 | C23 | semidirect |
| 771. #2000 | C23 | semidirect |
| 772. #2000 | C23 | semidirect |
| 773. #2000 | C23 | semidirect |
| 774. #2000 | C23 | semidirect |
| 775. #2000 | C23 | semidirect |
| 776. #2000 | C23 | semidirect |
| 777. #2000 | C23 | semidirect |
| 778. #2000 | C23 | semidirect |
| 779. #2000 | C23 | semidirect |
| 780. #2000 | C23 | semidirect |
| 781. #2000 | C23 | semidirect |
| 782. #1999 | C23 | semidirect |
| 783. #1999 | C23 | semidirect |
| 784. #1999 | C23 | semidirect |
| 785. #1999 | C23 | semidirect |
| 786. #1999 | C23 | semidirect |
| 787. #1999 | C23 | semidirect |
| 788. #1999 | C23 | semidirect |
| 789. #1999 | C23 | semidirect |
| 790. #1999 | C23 | semidirect |
| 791. #1983 | C23 | semidirect |
| 792. #1983 | C23 | semidirect |
| 793. #1982 | C23 | semidirect |
| 794. #1982 | C23 | semidirect |
| 795. #1961 | C23 | semidirect |
| 796. #1959 | C23 | semidirect |
| 797. #1958 | C23 | semidirect |
| 798. #1957 | C23 | semidirect |
| 799. #1955 | C23 | semidirect |
| 800. #1955 | C23 | semidirect |
| 801. #1954 | C23 | semidirect |
| 802. #1954 | C23 | semidirect |
| 803. #1895 | C23 | semidirect |
| 804. #1895 | C23 | semidirect |
| 805. #1895 | C23 | semidirect |
| 806. #1894 | C23 | semidirect |
| 807. #1893 | C23 | semidirect |
| 808. #1893 | C23 | semidirect |
| 809. #1893 | C23 | semidirect |
| 810. #1892 | C23 | semidirect |
| 811. #1879 | C23 | semidirect |
| 812. #1879 | C23 | semidirect |
| 813. #1879 | C23 | semidirect |
| 814. #1879 | C23 | semidirect |
| 815. #1879 | C23 | semidirect |
| 816. #1879 | C23 | semidirect |
| 817. #1877 | C23 | semidirect |
| 818. #1877 | C23 | semidirect |
| 819. #1877 | C23 | semidirect |
| 820. #1877 | C23 | semidirect |
| 821. #1877 | C23 | semidirect |
| 822. #1877 | C23 | semidirect |
| 823. #1875 | C23 | semidirect |
| 824. #1875 | C23 | semidirect |
| 825. #1875 | C23 | semidirect |
| 826. #1875 | C23 | semidirect |
| 827. #1875 | C23 | semidirect |
| 828. #1875 | C23 | semidirect |
| 829. #1874 | C23 | semidirect |
| 830. #1874 | C23 | semidirect |
| 831. #1874 | C23 | semidirect |
| 832. #1873 | C23 | semidirect |
| 833. #1873 | C23 | semidirect |
| 834. #1873 | C23 | semidirect |
| 835. #1873 | C23 | semidirect |
| 836. #1872 | C23 | semidirect |
| 837. #1870 | C23 | semidirect |
| 838. #1870 | C23 | semidirect |
| 839. #1870 | C23 | semidirect |
| 840. #1870 | C23 | semidirect |
| 841. #1869 | C23 | semidirect |
| 842. #1869 | C23 | semidirect |
| 843. #1869 | C23 | semidirect |
| 844. #1869 | C23 | semidirect |
| 845. #1864 | C23 | semidirect |
| 846. #1864 | C23 | semidirect |
| 847. #1862 | C23 | semidirect |
| 848. #1862 | C23 | semidirect |
| 849. #1854 | C23 | semidirect |
| 850. #1854 | C23 | semidirect |
| 851. #1804 | C23 | semidirect |
| 852. #1804 | C23 | semidirect |
| 853. #1802 | C23 | semidirect |
| 854. #1802 | C23 | semidirect |
| 855. #1798 | C23 | semidirect |
| 856. #1798 | C23 | semidirect |
| 857. #1788 | C23 | semidirect |
| 858. #1788 | C23 | semidirect |
| 859. #1788 | C23 | semidirect |
| 860. #1788 | C23 | semidirect |
| 861. #1788 | C23 | semidirect |
| 862. #1788 | C23 | semidirect |
| 865. #1786 | C23 | semidirect |
| 866. #1786 | C23 | semidirect |
| 867. #1786 | C23 | semidirect |
| 868. #1786 | C23 | semidirect |
| 869. #1786 | C23 | semidirect |
| 870. #1786 | C23 | semidirect |
| 871. #1786 | C23 | semidirect |
| 872. #1786 | C23 | semidirect |
| 873. #1786 | C23 | semidirect |
| 874. #1786 | C23 | semidirect |
| 875. #1786 | C23 | semidirect |
| 876. #1786 | C23 | semidirect |
| 877. #1786 | C23 | semidirect |
| 878. #1786 | C23 | semidirect |
| 879. #1780 | C23 | semidirect |
| 880. #1780 | C23 | semidirect |
| 881. #1779 | C23 | semidirect |
| 882. #1779 | C23 | semidirect |
| 883. #1762 | C23 | semidirect |
| 884. #1762 | C23 | semidirect |
| 885. C4×#102 | C23 | semidirect |
| 886. C4×#102 | C23 | semidirect |
| 887. #1750 | C23 | semidirect |
| 888. #1750 | C23 | semidirect |
| 889. #1736 | C23 | semidirect |
| 890. #1736 | C23 | semidirect |
| 891. #1736 | C23 | semidirect |
| 892. #1736 | C23 | semidirect |
| 893. #1736 | C23 | semidirect |
| 894. #1736 | C23 | semidirect |
| 895. #1736 | C23 | semidirect |
| 896. #1736 | C23 | semidirect |
| 897. #1728 | C23 | semidirect |
| 898. #1728 | C23 | semidirect |
| 899. #1728 | C23 | semidirect |
| 900. #1728 | C23 | semidirect |
| 904. C22×#41 | C2×D4 | semidirect |
| 916. C22×#41 | C24 | semidirect |
| 917. C22×#41 | C24 | semidirect |
| 921. C23×Q8 | C24 | semidirect |
| 931. C23×D4 | C2×D4 | semidirect |
| 932. C23×D4 | C2×D4 | semidirect |
| 950. C23×D4 | C24 | semidirect |
| 963. C2×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 964. C2×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 965. C22×Q16 | C24 | semidirect |
| 966. C22×Q16 | C24 | semidirect |
| 967. C22×Q16 | C24 | semidirect |
| 980. C22×SD16 | C24 | semidirect |
| 981. C22×SD16 | C24 | semidirect |
| 982. C22×SD16 | C24 | semidirect |
| 983. C22×SD16 | C24 | semidirect |
| 984. C22×SD16 | C24 | semidirect |
| 985. C22×SD16 | C24 | semidirect |
| 998. C22×D8 | C24 | semidirect |
| 999. C22×D8 | C24 | semidirect |
| 1000. C22×D8 | C24 | semidirect |
| 1011. C22×M16 | C24 | semidirect |
| 1012. C22×M16 | C24 | semidirect |
| 1015. C23×C8 | C24 | semidirect |
| 1016. C23×C8 | C24 | semidirect |
| 1019. #546 | C2×D4 | semidirect |
| 1020. #546 | C2×D4 | semidirect |
| 1023. D42 | C2×D4 | semidirect |
| 1024. D42 | C2×D4 | semidirect |
| 1025. C2×C4⋊Q8 | C24 | semidirect |
| 1026. C2×#127 | C2×D4 | semidirect |
| 1030. C2×#127 | C24 | semidirect |
| 1031. C2×#124 | C2×D4 | semidirect |
| 1035. C2×#124 | C24 | semidirect |
| 1036. C2×#124 | C24 | semidirect |
| 1037. #525 | C2×D4 | semidirect |
| 1066. C2×C22⋊Q8 | C24 | semidirect |
| 1067. C2×C22⋊Q8 | C24 | semidirect |
| 1068. C2×C22⋊Q8 | C24 | semidirect |
| 1069. C2×C22⋊Q8 | C24 | semidirect |
| 1070. C2×C22⋊Q8 | C24 | semidirect |
| 1080. C2×#121 | C2×D4 | semidirect |
| 1081. C2×#121 | C2×D4 | semidirect |
| 1099. C2×#121 | C24 | semidirect |
| 1100. C2×#121 | C24 | semidirect |
| 1101. C2×#121 | C24 | semidirect |
| 1102. C2×#121 | C24 | semidirect |
| 1103. C2×#121 | C24 | semidirect |
| 1112. C2×C4×Q8 | C24 | semidirect |
| 1113. C2×C4×Q8 | C24 | semidirect |
| 1126. C2×C4×D4 | C2×D4 | semidirect |
| 1127. C2×C4×D4 | C2×D4 | semidirect |
| 1144. C2×C4×D4 | C24 | semidirect |
| 1145. C2×C4×D4 | C24 | semidirect |
| 1157. C2×#117 | C24 | semidirect |
| 1167. C22×C4⋊C4 | C24 | semidirect |
| 1180. #450 | C2×D4 | semidirect |
| 1181. #447 | C2×D4 | semidirect |
| 1182. C2×#107 | C24 | semidirect |
| 1183. C2×#107 | C24 | semidirect |
| 1184. C2×#106 | C24 | semidirect |
| 1185. C2×#106 | C24 | semidirect |
| 1186. C2×C4⋊C8 | C24 | semidirect |
| 1187. C2×C4⋊C8 | C24 | semidirect |
| 1188. C2×C4⋊C8 | C24 | semidirect |
| 1189. C2×C4⋊C8 | C24 | semidirect |
| 1190. #418 | C2×D4 | semidirect |
| 1191. #418 | C2×D4 | semidirect |
| 1192. C2×#103 | C24 | semidirect |
| 1193. C2×#103 | C24 | semidirect |
| 1194. C2×#103 | C24 | semidirect |
| 1195. C2×#103 | C24 | semidirect |
| 1196. C2×#103 | C24 | semidirect |
| 1197. C2×#103 | C24 | semidirect |
| 1198. C2×#103 | C24 | semidirect |
| 1199. C2×#103 | C24 | semidirect |
| 1200. C2×#103 | C24 | semidirect |
| 1201. C2×#103 | C24 | semidirect |
| 1202. C2×#103 | C24 | semidirect |
| 1203. C2×#103 | C24 | semidirect |
| 1228. C2×#102 | C24 | semidirect |
| 1229. C2×#102 | C24 | semidirect |
| 1230. C2×#102 | C24 | semidirect |
| 1231. C2×#102 | C24 | semidirect |
| 1232. C2×#102 | C24 | semidirect |
| 1233. C2×#102 | C24 | semidirect |
| 1234. C2×#102 | C24 | semidirect |
| 1235. C2×#102 | C24 | semidirect |
| 1236. C2×#102 | C24 | semidirect |
| 1237. C2×#102 | C24 | semidirect |
| 1238. C2×#102 | C24 | semidirect |
| 1239. C2×#102 | C24 | semidirect |
| 1240. #407 | C2×D4 | semidirect |
| 1253. C2×C22⋊C8 | C24 | semidirect |
| 1254. C2×C22⋊C8 | C24 | semidirect |
| 1255. C2×C22⋊C8 | C24 | semidirect |
| 1256. C2×C22⋊C8 | C24 | semidirect |
| 1257. C2×C22⋊C8 | C24 | semidirect |
| 1258. C2×C22⋊C8 | C24 | semidirect |
| 1259. C2×C22⋊C8 | C24 | semidirect |
| 1260. C2×C22⋊C8 | C24 | semidirect |
| 1261. C2×#97 | C24 | semidirect |
| 1262. C2×#97 | C24 | semidirect |
| 1263. C2×C4×C8 | C24 | semidirect |
| 1264. C2×C4×C8 | C24 | semidirect |
| 1265. #391 | C24 | semidirect |
| 1266. #391 | C24 | semidirect |
| 1267. #391 | C24 | semidirect |
| 1268. #390 | C24 | semidirect |
| 1269. #390 | C24 | semidirect |
| 1270. #390 | C24 | semidirect |
| 1271. #389 | C24 | semidirect |
| 1272. #389 | C24 | semidirect |
| 1273. #384 | C24 | semidirect |
| 1274. #382 | C24 | semidirect |
| 1281. #380 | C24 | semidirect |
| 1282. #380 | C24 | semidirect |
| 1283. #380 | C24 | semidirect |
| 1284. #380 | C24 | semidirect |
| 1285. C4×C4⋊C4 | C24 | semidirect |
| 1286. C4×C4⋊C4 | C24 | semidirect |
| 1287. #340 | C24 | semidirect |
| 1288. #340 | C24 | semidirect |
| 1289. #340 | C24 | semidirect |
| 1290. #340 | C24 | semidirect |
| 1291. #340 | C24 | semidirect |
| 1292. #340 | C24 | semidirect |
| 1293. #340 | C24 | semidirect |
| 1294. #340 | C24 | semidirect |
| 1295. #336 | C24 | semidirect |
| 1296. #336 | C24 | semidirect |
| 1297. #336 | C24 | semidirect |
| 1298. #336 | C24 | semidirect |
| 1393. C2×SD16 | C22×D4 | semidirect |
| 1394. C2×SD16 | C22×D4 | semidirect |
| 1395. C2×D8 | C22×D4 | semidirect |
| 1396. C2×D8 | C22×D4 | semidirect |
| 1413. C22⋊Q8 | C22×D4 | semidirect |
| 1420. #121 | C22×D4 | semidirect |
| 1497. #102 | C22×D4 | semidirect |
| 1498. #102 | C22×D4 | semidirect |
| 1499. C22⋊C8 | C22×D4 | semidirect |
| 1629. C22 | #60367 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.