Order 1024.
At least 6517 conjugacy classes of subgroups; only the 3649 normal subgroups are shown.
The subgroup lattice has 1702 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, commutator, Frattini, socle, cosocle | C24 | C26 |
| 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. C2×#47827 | C2 | semidirect |
| 2. C2×#58990 | C2 | semidirect |
| 3. C2×#36714 | C2 | semidirect |
| 4. C2×D4×#120 | C2 | semidirect |
| 5. #4932461 | C2 | semidirect |
| 6. #4932409 | C2 | semidirect |
| 7. #3876653 | C2 | semidirect |
| 8. #3874576 | C2 | semidirect |
| 9. #3862116 | C2 | semidirect |
| 10. #3860624 | C2 | semidirect |
| 11. #3860298 | C2 | semidirect |
| 12. #3335215 | C2 | semidirect |
| 13. #2822351 | C2 | semidirect |
| 14. #2814136 | C2 | semidirect |
| 15. #2606478 | C2 | semidirect |
| 16. #2111037 | C2 | semidirect |
| 17. #2108769 | C2 | semidirect |
| 18. #2078623 | C2 | semidirect |
| 19. #2076497 | C2 | semidirect |
| 20. #2033497 | C2 | semidirect |
| 21. #2031998 | C2 | semidirect |
| 22. #1433102 | C2 | semidirect |
| 23. #1426723 | C2 | semidirect |
| 24. #1418354 | C2 | semidirect |
| 25. #1418353 | C2 | semidirect |
| 26. #1327393 | C2 | semidirect |
| 27. #1303187 | C2 | semidirect |
| 28. #1258513 | C2 | semidirect |
| 29. #898736 | C2 | semidirect |
| 30. #846057 | C2 | semidirect |
| 31. #845677 | C2 | semidirect |
| 32. #845325 | C2 | semidirect |
| 33. #775446 | C2 | semidirect |
| 34. #772778 | C2 | semidirect |
| 35. #687660 | C2 | semidirect |
| 36. #686200 | C2 | semidirect |
| 37. #612424 | C2 | semidirect |
| 38. #570820 | C2 | semidirect |
| 39. #558770 | C2 | semidirect |
| 40. C25×D4 | C22 | semidirect |
| 41. C22×D42 | C22 | semidirect |
| 42. C22×D42 | C22 | semidirect |
| 43. C22×D42 | C22 | semidirect |
| 44. C22×D42 | C22 | semidirect |
| 45. C22×#534 | C22 | semidirect |
| 47. C23×#120 | C22 | semidirect |
| 48. C23×#120 | C22 | semidirect |
| 49. C2×#2709 | C22 | semidirect |
| 50. C2×#2703 | C22 | semidirect |
| 51. C2×#2697 | C22 | semidirect |
| 52. C2×#2697 | C22 | semidirect |
| 53. C2×#2697 | C22 | semidirect |
| 54. C2×#2697 | C22 | semidirect |
| 55. C2×#2688 | C22 | semidirect |
| 57. C2×#2679 | C22 | semidirect |
| 58. C2×#2679 | C22 | semidirect |
| 59. C2×#2678 | C22 | semidirect |
| 60. C2×#2678 | C22 | semidirect |
| 61. C2×#2678 | C22 | semidirect |
| 62. C2×#2678 | C22 | semidirect |
| 63. C2×#2678 | C22 | semidirect |
| 64. C2×#2678 | C22 | semidirect |
| 65. C2×#2678 | C22 | semidirect |
| 66. C2×#2678 | C22 | semidirect |
| 67. C2×#2673 | C22 | semidirect |
| 69. C2×#2669 | C22 | semidirect |
| 70. C2×#2669 | C22 | semidirect |
| 71. C2×#2669 | C22 | semidirect |
| 72. C2×#2847 | C22 | semidirect |
| 73. C2×#2846 | C22 | semidirect |
| 74. C2×#2846 | C22 | semidirect |
| 75. C2×#2846 | C22 | semidirect |
| 76. C2×#2846 | C22 | semidirect |
| 77. C2×#2411 | C22 | semidirect |
| 78. C2×#2411 | C22 | semidirect |
| 79. C2×#2414 | C22 | semidirect |
| 80. C2×#2457 | C22 | semidirect |
| 81. C2×#2433 | C22 | semidirect |
| 82. C2×#2433 | C22 | semidirect |
| 83. C2×#2433 | C22 | semidirect |
| 84. C2×#2433 | C22 | semidirect |
| 85. C2×#2433 | C22 | semidirect |
| 87. C2×#2408 | C22 | semidirect |
| 88. C2×#2408 | C22 | semidirect |
| 89. C2×#2405 | C22 | semidirect |
| 90. C2×#2405 | C22 | semidirect |
| 91. C2×#2456 | C22 | semidirect |
| 92. C2×#2424 | C22 | semidirect |
| 93. C2×#2424 | C22 | semidirect |
| 94. C2×#2424 | C22 | semidirect |
| 95. C2×#2424 | C22 | semidirect |
| 96. C2×#2418 | C22 | semidirect |
| 97. C2×#2410 | C22 | semidirect |
| 98. C2×#2410 | C22 | semidirect |
| 99. C2×#2410 | C22 | semidirect |
| 100. C2×#2410 | C22 | semidirect |
| 101. C2×#2410 | C22 | semidirect |
| 102. C2×#2410 | C22 | semidirect |
| 103. C2×#2410 | C22 | semidirect |
| 104. C2×#2410 | C22 | semidirect |
| 105. C2×#2410 | C22 | semidirect |
| 107. C2×#2403 | C22 | semidirect |
| 108. C2×#2403 | C22 | semidirect |
| 109. C2×#2403 | C22 | semidirect |
| 110. C2×#2403 | C22 | semidirect |
| 111. C2×#2403 | C22 | semidirect |
| 112. C2×#2403 | C22 | semidirect |
| 113. C2×#2403 | C22 | semidirect |
| 114. C2×#2403 | C22 | semidirect |
| 115. C2×#2403 | C22 | semidirect |
| 116. C2×#2403 | C22 | semidirect |
| 117. C2×#2403 | C22 | semidirect |
| 118. C2×#2403 | C22 | semidirect |
| 119. C2×#2403 | C22 | semidirect |
| 120. C2×#2619 | C22 | semidirect |
| 121. C2×#2622 | C22 | semidirect |
| 122. C2×#2613 | C22 | semidirect |
| 123. C2×#2613 | C22 | semidirect |
| 124. C22×#392 | C22 | semidirect |
| 125. C2×#2375 | C22 | semidirect |
| 126. C2×#2358 | C22 | semidirect |
| 127. C2×#2358 | C22 | semidirect |
| 128. C2×D4×C22⋊C4 | C22 | semidirect |
| 129. C2×D4×C22⋊C4 | C22 | semidirect |
| 130. C2×#2309 | C22 | semidirect |
| 131. C2×C4×#120 | C22 | semidirect |
| 132. #17102 | C22 | semidirect |
| 133. #17083 | C22 | semidirect |
| 134. #16808 | C22 | semidirect |
| 135. #16798 | C22 | semidirect |
| 136. #16797 | C22 | semidirect |
| 137. #16552 | C22 | semidirect |
| 138. #16540 | C22 | semidirect |
| 139. #16508 | C22 | semidirect |
| 140. #16502 | C22 | semidirect |
| 141. #16500 | C22 | semidirect |
| 142. #16352 | C22 | semidirect |
| 143. #16340 | C22 | semidirect |
| 144. #16340 | C22 | semidirect |
| 145. #16323 | C22 | semidirect |
| 146. #16309 | C22 | semidirect |
| 147. #16291 | C22 | semidirect |
| 148. #16291 | C22 | semidirect |
| 149. #16288 | C22 | semidirect |
| 150. #16287 | C22 | semidirect |
| 151. #16284 | C22 | semidirect |
| 152. #16284 | C22 | semidirect |
| 153. #16284 | C22 | semidirect |
| 154. #16284 | C22 | semidirect |
| 155. #16283 | C22 | semidirect |
| 156. #16272 | C22 | semidirect |
| 157. #16260 | C22 | semidirect |
| 158. #16255 | C22 | semidirect |
| 159. #16255 | C22 | semidirect |
| 160. #16255 | C22 | semidirect |
| 161. #16255 | C22 | semidirect |
| 162. #16255 | C22 | semidirect |
| 163. #16252 | C22 | semidirect |
| 164. #16250 | C22 | semidirect |
| 165. #16249 | C22 | semidirect |
| 166. #16249 | C22 | semidirect |
| 167. #16249 | C22 | semidirect |
| 168. #16249 | C22 | semidirect |
| 169. #16249 | C22 | semidirect |
| 170. #16249 | C22 | semidirect |
| 171. #16249 | C22 | semidirect |
| 172. #16249 | C22 | semidirect |
| 173. #16249 | C22 | semidirect |
| 174. #16249 | C22 | semidirect |
| 175. #16249 | C22 | semidirect |
| 176. #15966 | C22 | semidirect |
| 177. #15950 | C22 | semidirect |
| 178. #15948 | C22 | semidirect |
| 179. #15948 | C22 | semidirect |
| 180. #15823 | C22 | semidirect |
| 181. #15776 | C22 | semidirect |
| 182. #15640 | C22 | semidirect |
| 183. #15630 | C22 | semidirect |
| 184. #15577 | C22 | semidirect |
| 185. #15556 | C22 | semidirect |
| 186. #15498 | C22 | semidirect |
| 187. #15491 | C22 | semidirect |
| 188. #15486 | C22 | semidirect |
| 189. #15451 | C22 | semidirect |
| 190. #15450 | C22 | semidirect |
| 191. #15418 | C22 | semidirect |
| 192. #15412 | C22 | semidirect |
| 193. #15412 | C22 | semidirect |
| 194. #15403 | C22 | semidirect |
| 195. #15383 | C22 | semidirect |
| 196. #15376 | C22 | semidirect |
| 197. #15375 | C22 | semidirect |
| 198. #15375 | C22 | semidirect |
| 199. #15370 | C22 | semidirect |
| 200. #15369 | C22 | semidirect |
| 201. #15369 | C22 | semidirect |
| 202. #15355 | C22 | semidirect |
| 203. #15320 | C22 | semidirect |
| 204. #15320 | C22 | semidirect |
| 205. #15320 | C22 | semidirect |
| 206. #15315 | C22 | semidirect |
| 207. #15315 | C22 | semidirect |
| 208. #15315 | C22 | semidirect |
| 209. #15313 | C22 | semidirect |
| 210. #15312 | C22 | semidirect |
| 211. #15312 | C22 | semidirect |
| 212. #15310 | C22 | semidirect |
| 213. #15310 | C22 | semidirect |
| 214. #15310 | C22 | semidirect |
| 215. #15309 | C22 | semidirect |
| 216. #15307 | C22 | semidirect |
| 217. #15304 | C22 | semidirect |
| 218. #15304 | C22 | semidirect |
| 219. #15299 | C22 | semidirect |
| 220. #15297 | C22 | semidirect |
| 221. #15297 | C22 | semidirect |
| 222. #15295 | C22 | semidirect |
| 223. #15283 | C22 | semidirect |
| 224. #15283 | C22 | semidirect |
| 225. #15281 | C22 | semidirect |
| 226. #15281 | C22 | semidirect |
| 227. #15281 | C22 | semidirect |
| 228. #15278 | C22 | semidirect |
| 229. #15278 | C22 | semidirect |
| 230. #15277 | C22 | semidirect |
| 231. #15274 | C22 | semidirect |
| 232. #15273 | C22 | semidirect |
| 233. #15273 | C22 | semidirect |
| 234. #15273 | C22 | semidirect |
| 235. #15270 | C22 | semidirect |
| 236. #15268 | C22 | semidirect |
| 237. #15268 | C22 | semidirect |
| 238. #15268 | C22 | semidirect |
| 239. #15268 | C22 | semidirect |
| 240. #15268 | C22 | semidirect |
| 241. #15268 | C22 | semidirect |
| 242. #15268 | C22 | semidirect |
| 243. #15267 | C22 | semidirect |
| 244. #15267 | C22 | semidirect |
| 245. #15267 | C22 | semidirect |
| 246. #15267 | C22 | semidirect |
| 247. #15267 | C22 | semidirect |
| 248. #15267 | C22 | semidirect |
| 249. #15267 | C22 | semidirect |
| 250. #15267 | C22 | semidirect |
| 251. #15267 | C22 | semidirect |
| 252. #15267 | C22 | semidirect |
| 253. #15267 | C22 | semidirect |
| 254. #15266 | C22 | semidirect |
| 255. #15266 | C22 | semidirect |
| 256. #15266 | C22 | semidirect |
| 257. #15263 | C22 | semidirect |
| 258. #15263 | C22 | semidirect |
| 259. #15263 | C22 | semidirect |
| 260. #15263 | C22 | semidirect |
| 261. #15263 | C22 | semidirect |
| 262. #15260 | C22 | semidirect |
| 263. #15258 | C22 | semidirect |
| 264. #15258 | C22 | semidirect |
| 265. #15258 | C22 | semidirect |
| 266. #15258 | C22 | semidirect |
| 267. #15257 | C22 | semidirect |
| 268. #15257 | C22 | semidirect |
| 269. #15257 | C22 | semidirect |
| 270. #15257 | C22 | semidirect |
| 271. #15257 | C22 | semidirect |
| 272. #15257 | C22 | semidirect |
| 273. #15257 | C22 | semidirect |
| 274. #15219 | C22 | semidirect |
| 275. #15142 | C22 | semidirect |
| 276. #15140 | C22 | semidirect |
| 277. #15124 | C22 | semidirect |
| 278. #14985 | C22 | semidirect |
| 279. #14976 | C22 | semidirect |
| 280. #14926 | C22 | semidirect |
| 281. #14922 | C22 | semidirect |
| 282. #14911 | C22 | semidirect |
| 283. #14820 | C22 | semidirect |
| 284. #14812 | C22 | semidirect |
| 285. #14806 | C22 | semidirect |
| 286. #14806 | C22 | semidirect |
| 287. #14762 | C22 | semidirect |
| 288. #14754 | C22 | semidirect |
| 289. #14754 | C22 | semidirect |
| 290. #14741 | C22 | semidirect |
| 291. #14732 | C22 | semidirect |
| 292. #14730 | C22 | semidirect |
| 293. #14727 | C22 | semidirect |
| 294. #14726 | C22 | semidirect |
| 295. #14726 | C22 | semidirect |
| 296. #14724 | C22 | semidirect |
| 297. #14724 | C22 | semidirect |
| 298. #14724 | C22 | semidirect |
| 299. #14722 | C22 | semidirect |
| 300. #14722 | C22 | semidirect |
| 301. #14721 | C22 | semidirect |
| 302. #14721 | C22 | semidirect |
| 303. #14721 | C22 | semidirect |
| 304. #14718 | C22 | semidirect |
| 305. #14716 | C22 | semidirect |
| 306. #14716 | C22 | semidirect |
| 307. #14716 | C22 | semidirect |
| 309. #14715 | C22 | semidirect |
| 310. #14715 | C22 | semidirect |
| 311. #14715 | C22 | semidirect |
| 312. #14715 | C22 | semidirect |
| 313. #14715 | C22 | semidirect |
| 314. #14715 | C22 | semidirect |
| 315. #14715 | C22 | semidirect |
| 316. #14715 | C22 | semidirect |
| 317. #14715 | C22 | semidirect |
| 318. #14715 | C22 | semidirect |
| 319. #14715 | C22 | semidirect |
| 320. #14715 | C22 | semidirect |
| 321. #14715 | C22 | semidirect |
| 322. #14715 | C22 | semidirect |
| 323. #14715 | C22 | semidirect |
| 324. #14715 | C22 | semidirect |
| 325. #14715 | C22 | semidirect |
| 326. #14715 | C22 | semidirect |
| 327. #14694 | C22 | semidirect |
| 328. #14694 | C22 | semidirect |
| 329. #14679 | C22 | semidirect |
| 330. #14622 | C22 | semidirect |
| 331. #14571 | C22 | semidirect |
| 332. #14540 | C22 | semidirect |
| 333. #14534 | C22 | semidirect |
| 334. #14534 | C22 | semidirect |
| 335. #14533 | C22 | semidirect |
| 336. #14519 | C22 | semidirect |
| 337. #14517 | C22 | semidirect |
| 338. #14513 | C22 | semidirect |
| 339. #14428 | C22 | semidirect |
| 340. #14377 | C22 | semidirect |
| 341. #14366 | C22 | semidirect |
| 342. #14366 | C22 | semidirect |
| 343. #14363 | C22 | semidirect |
| 344. #14358 | C22 | semidirect |
| 345. #14358 | C22 | semidirect |
| 346. #14358 | C22 | semidirect |
| 347. #14357 | C22 | semidirect |
| 348. #14357 | C22 | semidirect |
| 349. #14357 | C22 | semidirect |
| 350. #14357 | C22 | semidirect |
| 351. #14357 | C22 | semidirect |
| 352. #14311 | C22 | semidirect |
| 353. #14228 | C22 | semidirect |
| 354. #14209 | C22 | semidirect |
| 355. #14205 | C22 | semidirect |
| 356. #14196 | C22 | semidirect |
| 357. #14190 | C22 | semidirect |
| 358. #14189 | C22 | semidirect |
| 359. #14189 | C22 | semidirect |
| 360. #14187 | C22 | semidirect |
| 361. #14171 | C22 | semidirect |
| 362. #14136 | C22 | semidirect |
| 363. #14134 | C22 | semidirect |
| 364. #14076 | C22 | semidirect |
| 365. #14064 | C22 | semidirect |
| 366. #14064 | C22 | semidirect |
| 367. #14034 | C22 | semidirect |
| 368. #14025 | C22 | semidirect |
| 369. #14025 | C22 | semidirect |
| 370. #14023 | C22 | semidirect |
| 371. #14023 | C22 | semidirect |
| 372. #13995 | C22 | semidirect |
| 373. #13991 | C22 | semidirect |
| 374. #13979 | C22 | semidirect |
| 375. #13971 | C22 | semidirect |
| 376. #13968 | C22 | semidirect |
| 377. #13967 | C22 | semidirect |
| 378. #13967 | C22 | semidirect |
| 379. #13967 | C22 | semidirect |
| 380. #13967 | C22 | semidirect |
| 381. #13902 | C22 | semidirect |
| 382. #13902 | C22 | semidirect |
| 383. #13873 | C22 | semidirect |
| 384. #13867 | C22 | semidirect |
| 385. #13867 | C22 | semidirect |
| 386. #13867 | C22 | semidirect |
| 387. #13867 | C22 | semidirect |
| 388. #13867 | C22 | semidirect |
| 389. #13867 | C22 | semidirect |
| 390. #13867 | C22 | semidirect |
| 391. #13867 | C22 | semidirect |
| 392. #13867 | C22 | semidirect |
| 393. #13839 | C22 | semidirect |
| 394. #13832 | C22 | semidirect |
| 413. C24×D4 | C23 | semidirect |
| 414. C24×D4 | C23 | semidirect |
| 415. C24×D4 | C23 | semidirect |
| 421. C22×#127 | C23 | semidirect |
| 422. C22×#127 | C23 | semidirect |
| 425. C22×#123 | C23 | semidirect |
| 426. C22×#123 | C23 | semidirect |
| 427. C22×#123 | C23 | semidirect |
| 428. C22×#123 | C23 | semidirect |
| 429. C22×#123 | C23 | semidirect |
| 442. C22×#121 | C23 | semidirect |
| 443. C22×#121 | C23 | semidirect |
| 444. C22×#121 | C23 | semidirect |
| 445. C22×#121 | C23 | semidirect |
| 446. C22×#121 | C23 | semidirect |
| 447. C22×#121 | C23 | semidirect |
| 448. C22×#121 | C23 | semidirect |
| 449. C22×#121 | C23 | semidirect |
| 450. C22×#121 | C23 | semidirect |
| 500. C22×#120 | C23 | semidirect |
| 501. C22×#120 | C23 | semidirect |
| 502. C22×#120 | C23 | semidirect |
| 503. C22×#120 | C23 | semidirect |
| 504. C22×#120 | C23 | semidirect |
| 505. C22×#120 | C23 | semidirect |
| 506. C22×#120 | C23 | semidirect |
| 507. C22×#120 | C23 | semidirect |
| 512. C22×C4×D4 | C23 | semidirect |
| 513. C22×C4×D4 | C23 | semidirect |
| 514. C22×C4×D4 | C23 | semidirect |
| 515. C22×C4×D4 | C23 | semidirect |
| 516. C22×#117 | C23 | semidirect |
| 517. C22×#117 | C23 | semidirect |
| 525. C23×C22⋊C4 | C23 | semidirect |
| 526. C23×C22⋊C4 | C23 | semidirect |
| 527. C23×C22⋊C4 | C23 | semidirect |
| 528. C23×C22⋊C4 | C23 | semidirect |
| 529. #2679 | D4 | semidirect |
| 530. #2403 | D4 | semidirect |
| 531. C2×#400 | C23 | semidirect |
| 532. C2×#399 | C23 | semidirect |
| 537. C2×#397 | C23 | semidirect |
| 538. C2×#397 | C23 | semidirect |
| 539. C2×#397 | C23 | semidirect |
| 540. C2×#397 | C23 | semidirect |
| 543. C2×#396 | C23 | semidirect |
| 544. C2×#396 | C23 | semidirect |
| 545. C2×#396 | C23 | semidirect |
| 546. C2×#396 | C23 | semidirect |
| 547. C2×#396 | C23 | semidirect |
| 548. C2×#396 | C23 | semidirect |
| 549. C2×#396 | C23 | semidirect |
| 568. C2×#394 | C23 | semidirect |
| 569. C2×#394 | C23 | semidirect |
| 570. C2×#394 | C23 | semidirect |
| 571. C2×#394 | C23 | semidirect |
| 572. C2×#394 | C23 | semidirect |
| 573. C2×#394 | C23 | semidirect |
| 574. C2×#394 | C23 | semidirect |
| 575. C2×#394 | C23 | semidirect |
| 576. C2×#394 | C23 | semidirect |
| 577. C2×#394 | C23 | semidirect |
| 578. C2×#394 | C23 | semidirect |
| 579. C2×#394 | C23 | semidirect |
| 580. C2×#394 | C23 | semidirect |
| 581. C2×#394 | C23 | semidirect |
| 582. C2×#394 | C23 | semidirect |
| 583. C2×#394 | C23 | semidirect |
| 584. C2×#394 | C23 | semidirect |
| 585. C2×#394 | C23 | semidirect |
| 586. C2×#394 | C23 | semidirect |
| 587. C2×#394 | C23 | semidirect |
| 588. C2×#394 | C23 | semidirect |
| 589. C2×#394 | C23 | semidirect |
| 590. C2×#394 | C23 | semidirect |
| 591. C2×#394 | C23 | semidirect |
| 592. C2×#394 | C23 | semidirect |
| 593. C2×#394 | C23 | semidirect |
| 594. C2×#394 | C23 | semidirect |
| 595. C2×#394 | C23 | semidirect |
| 640. C2×#392 | C23 | semidirect |
| 641. C2×#392 | C23 | semidirect |
| 642. C2×#392 | C23 | semidirect |
| 643. C2×#392 | C23 | semidirect |
| 644. C2×#392 | C23 | semidirect |
| 645. C2×#392 | C23 | semidirect |
| 646. C2×#392 | C23 | semidirect |
| 647. C2×#392 | C23 | semidirect |
| 648. C2×#392 | C23 | semidirect |
| 649. C2×#392 | C23 | semidirect |
| 650. C2×#392 | C23 | semidirect |
| 651. C2×#392 | C23 | semidirect |
| 652. C2×#392 | C23 | semidirect |
| 653. C2×#392 | C23 | semidirect |
| 654. C2×#392 | C23 | semidirect |
| 655. C2×#392 | C23 | semidirect |
| 656. C2×#392 | C23 | semidirect |
| 657. C2×#392 | C23 | semidirect |
| 658. C2×#392 | C23 | semidirect |
| 659. C2×#392 | C23 | semidirect |
| 660. C2×#392 | C23 | semidirect |
| 661. C2×#392 | C23 | semidirect |
| 662. C2×#392 | C23 | semidirect |
| 663. C2×#392 | C23 | semidirect |
| 664. C2×#392 | C23 | semidirect |
| 665. C2×#392 | C23 | semidirect |
| 666. C2×#392 | C23 | semidirect |
| 667. C2×#392 | C23 | semidirect |
| 668. C2×#392 | C23 | semidirect |
| 669. C2×#392 | C23 | semidirect |
| 681. C2×#390 | C23 | semidirect |
| 682. C2×#390 | C23 | semidirect |
| 683. C2×#390 | C23 | semidirect |
| 684. C2×#390 | C23 | semidirect |
| 685. C2×#390 | C23 | semidirect |
| 686. C2×#390 | C23 | semidirect |
| 687. C2×#390 | C23 | semidirect |
| 688. C2×#390 | C23 | semidirect |
| 689. C2×#390 | C23 | semidirect |
| 690. C2×#390 | C23 | semidirect |
| 691. C2×#390 | C23 | semidirect |
| 692. C2×#390 | C23 | semidirect |
| 693. C2×#390 | C23 | semidirect |
| 694. C2×#390 | C23 | semidirect |
| 695. C2×#390 | C23 | semidirect |
| 696. C2×#390 | C23 | semidirect |
| 697. C2×#390 | C23 | semidirect |
| 698. C2×#390 | C23 | semidirect |
| 699. C2×#390 | C23 | semidirect |
| 700. C2×#390 | C23 | semidirect |
| 701. C2×#389 | C23 | semidirect |
| 709. C2×#388 | C23 | semidirect |
| 710. C2×#388 | C23 | semidirect |
| 711. C2×#388 | C23 | semidirect |
| 712. C2×#388 | C23 | semidirect |
| 713. C2×#388 | C23 | semidirect |
| 714. C2×#388 | C23 | semidirect |
| 715. C2×#388 | C23 | semidirect |
| 716. C2×#388 | C23 | semidirect |
| 717. C2×#388 | C23 | semidirect |
| 718. C2×#388 | C23 | semidirect |
| 719. C2×#388 | C23 | semidirect |
| 720. C2×#388 | C23 | semidirect |
| 721. C2×#387 | C23 | semidirect |
| 722. C2×#387 | C23 | semidirect |
| 765. C2×#386 | C23 | semidirect |
| 766. C2×#386 | C23 | semidirect |
| 767. C2×#386 | C23 | semidirect |
| 768. C2×#386 | C23 | semidirect |
| 769. C2×#386 | C23 | semidirect |
| 770. C2×#386 | C23 | semidirect |
| 771. C2×#386 | C23 | semidirect |
| 772. C2×#386 | C23 | semidirect |
| 773. C2×#386 | C23 | semidirect |
| 774. C2×#386 | C23 | semidirect |
| 775. C2×#386 | C23 | semidirect |
| 776. C2×#386 | C23 | semidirect |
| 777. C2×#386 | C23 | semidirect |
| 778. C2×#386 | C23 | semidirect |
| 779. C2×#386 | C23 | semidirect |
| 780. C2×#386 | C23 | semidirect |
| 781. C2×#386 | C23 | semidirect |
| 782. C2×#386 | C23 | semidirect |
| 783. C2×#386 | C23 | semidirect |
| 784. C2×#386 | C23 | semidirect |
| 785. C2×#386 | C23 | semidirect |
| 786. C2×#386 | C23 | semidirect |
| 787. C2×#386 | C23 | semidirect |
| 788. C2×#386 | C23 | semidirect |
| 789. C2×#386 | C23 | semidirect |
| 790. C2×#386 | C23 | semidirect |
| 791. C2×#386 | C23 | semidirect |
| 792. C2×#386 | C23 | semidirect |
| 793. C2×#386 | C23 | semidirect |
| 794. C2×#386 | C23 | semidirect |
| 795. C2×#386 | C23 | semidirect |
| 796. C2×#386 | C23 | semidirect |
| 799. C2×#385 | C23 | semidirect |
| 800. C2×#385 | C23 | semidirect |
| 801. C2×#385 | C23 | semidirect |
| 802. C2×#385 | C23 | semidirect |
| 803. C2×#385 | C23 | semidirect |
| 804. C2×#385 | C23 | semidirect |
| 805. C2×#385 | C23 | semidirect |
| 806. C2×#385 | C23 | semidirect |
| 807. C2×#385 | C23 | semidirect |
| 808. C2×#385 | C23 | semidirect |
| 809. C2×#385 | C23 | semidirect |
| 810. C2×#385 | C23 | semidirect |
| 811. C2×#382 | C23 | semidirect |
| 812. C2×#381 | C23 | semidirect |
| 813. C2×#381 | C23 | semidirect |
| 816. C2×#380 | C23 | semidirect |
| 817. C2×#380 | C23 | semidirect |
| 818. C2×#380 | C23 | semidirect |
| 854. C2×#379 | C23 | semidirect |
| 855. C2×#379 | C23 | semidirect |
| 856. C2×#379 | C23 | semidirect |
| 857. C2×#379 | C23 | semidirect |
| 858. C2×#379 | C23 | semidirect |
| 859. C2×#379 | C23 | semidirect |
| 860. C2×#379 | C23 | semidirect |
| 861. C2×#379 | C23 | semidirect |
| 862. C2×#379 | C23 | semidirect |
| 863. C2×#379 | C23 | semidirect |
| 864. C2×#379 | C23 | semidirect |
| 867. C2×C4×C22⋊C4 | C23 | semidirect |
| 868. C2×C4×C22⋊C4 | C23 | semidirect |
| 869. C2×C4×C22⋊C4 | C23 | semidirect |
| 870. C2×C4×C22⋊C4 | C23 | semidirect |
| 871. C2×C4×C22⋊C4 | C23 | semidirect |
| 872. C22×#95 | C23 | semidirect |
| 873. #1445 | C23 | semidirect |
| 874. #1445 | C23 | semidirect |
| 875. #1445 | C23 | semidirect |
| 876. #1444 | C23 | semidirect |
| 877. #1444 | C23 | semidirect |
| 878. #1444 | C23 | semidirect |
| 879. #1444 | C23 | semidirect |
| 880. #1443 | C23 | semidirect |
| 881. #1443 | C23 | semidirect |
| 882. #1443 | C23 | semidirect |
| 883. #1443 | C23 | semidirect |
| 884. #1443 | C23 | semidirect |
| 885. #1442 | C23 | semidirect |
| 886. #1442 | C23 | semidirect |
| 887. #1442 | C23 | semidirect |
| 888. #1442 | C23 | semidirect |
| 889. #1442 | C23 | semidirect |
| 890. #1442 | C23 | semidirect |
| 891. #1442 | C23 | semidirect |
| 892. #1442 | C23 | semidirect |
| 893. #1441 | C23 | semidirect |
| 894. #1441 | C23 | semidirect |
| 895. #1441 | C23 | semidirect |
| 896. #1441 | C23 | semidirect |
| 897. #1441 | C23 | semidirect |
| 898. #1441 | C23 | semidirect |
| 899. #1441 | C23 | semidirect |
| 900. #1441 | C23 | semidirect |
| 908. #1440 | C23 | semidirect |
| 909. #1440 | C23 | semidirect |
| 910. #1440 | C23 | semidirect |
| 911. #1440 | C23 | semidirect |
| 912. #1440 | C23 | semidirect |
| 913. #1440 | C23 | semidirect |
| 914. #1440 | C23 | semidirect |
| 915. #1440 | C23 | semidirect |
| 916. #1440 | C23 | semidirect |
| 917. #1440 | C23 | semidirect |
| 918. #1440 | C23 | semidirect |
| 919. #1440 | C23 | semidirect |
| 920. #1440 | C23 | semidirect |
| 921. #1440 | C23 | semidirect |
| 922. #1440 | C23 | semidirect |
| 923. #1440 | C23 | semidirect |
| 924. #1440 | C23 | semidirect |
| 925. #1440 | C23 | semidirect |
| 926. #1440 | C23 | semidirect |
| 927. #1440 | C23 | semidirect |
| 928. #1440 | C23 | semidirect |
| 929. #1440 | C23 | semidirect |
| 940. #1439 | C23 | semidirect |
| 941. #1439 | C23 | semidirect |
| 942. #1439 | C23 | semidirect |
| 943. #1439 | C23 | semidirect |
| 944. #1439 | C23 | semidirect |
| 945. #1439 | C23 | semidirect |
| 946. #1439 | C23 | semidirect |
| 947. #1439 | C23 | semidirect |
| 948. #1439 | C23 | semidirect |
| 949. #1439 | C23 | semidirect |
| 950. #1439 | C23 | semidirect |
| 951. #1439 | C23 | semidirect |
| 952. #1439 | C23 | semidirect |
| 953. #1439 | C23 | semidirect |
| 954. #1439 | C23 | semidirect |
| 955. #1439 | C23 | semidirect |
| 956. #1439 | C23 | semidirect |
| 957. #1439 | C23 | semidirect |
| 958. #1439 | C23 | semidirect |
| 959. #1439 | C23 | semidirect |
| 960. #1439 | C23 | semidirect |
| 961. #1439 | C23 | semidirect |
| 962. #1439 | C23 | semidirect |
| 963. #1439 | C23 | semidirect |
| 964. #1439 | C23 | semidirect |
| 965. #1439 | C23 | semidirect |
| 966. #1439 | C23 | semidirect |
| 967. #1439 | C23 | semidirect |
| 968. #1439 | C23 | semidirect |
| 969. #1439 | C23 | semidirect |
| 970. #1439 | C23 | semidirect |
| 971. #1439 | C23 | semidirect |
| 972. #1439 | C23 | semidirect |
| 973. #1439 | C23 | semidirect |
| 974. #1439 | C23 | semidirect |
| 975. #1439 | C23 | semidirect |
| 976. #1439 | C23 | semidirect |
| 977. #1439 | C23 | semidirect |
| 978. #1439 | C23 | semidirect |
| 979. #1439 | C23 | semidirect |
| 980. #1439 | C23 | semidirect |
| 981. #1439 | C23 | semidirect |
| 982. #1439 | C23 | semidirect |
| 983. #1439 | C23 | semidirect |
| 984. #1439 | C23 | semidirect |
| 985. #1439 | C23 | semidirect |
| 986. #1439 | C23 | semidirect |
| 987. #1439 | C23 | semidirect |
| 988. #1439 | C23 | semidirect |
| 989. #1439 | C23 | semidirect |
| 1031. #1438 | C23 | semidirect |
| 1032. #1438 | C23 | semidirect |
| 1033. #1438 | C23 | semidirect |
| 1034. #1438 | C23 | semidirect |
| 1035. #1438 | C23 | semidirect |
| 1036. #1438 | C23 | semidirect |
| 1037. #1438 | C23 | semidirect |
| 1038. #1438 | C23 | semidirect |
| 1039. #1438 | C23 | semidirect |
| 1040. #1438 | C23 | semidirect |
| 1041. #1438 | C23 | semidirect |
| 1042. #1438 | C23 | semidirect |
| 1043. #1438 | C23 | semidirect |
| 1044. #1438 | C23 | semidirect |
| 1045. #1438 | C23 | semidirect |
| 1046. #1438 | C23 | semidirect |
| 1047. #1438 | C23 | semidirect |
| 1048. #1438 | C23 | semidirect |
| 1049. #1438 | C23 | semidirect |
| 1050. #1438 | C23 | semidirect |
| 1051. #1438 | C23 | semidirect |
| 1052. #1438 | C23 | semidirect |
| 1053. #1438 | C23 | semidirect |
| 1054. #1438 | C23 | semidirect |
| 1055. #1438 | C23 | semidirect |
| 1056. #1438 | C23 | semidirect |
| 1057. #1438 | C23 | semidirect |
| 1058. #1438 | C23 | semidirect |
| 1059. #1438 | C23 | semidirect |
| 1060. #1438 | C23 | semidirect |
| 1061. #1438 | C23 | semidirect |
| 1062. #1438 | C23 | semidirect |
| 1063. #1438 | C23 | semidirect |
| 1064. #1438 | C23 | semidirect |
| 1065. #1438 | C23 | semidirect |
| 1066. #1438 | C23 | semidirect |
| 1067. #1438 | C23 | semidirect |
| 1068. #1438 | C23 | semidirect |
| 1069. #1438 | C23 | semidirect |
| 1070. #1438 | C23 | semidirect |
| 1071. #1438 | C23 | semidirect |
| 1072. #1438 | C23 | semidirect |
| 1073. #1438 | C23 | semidirect |
| 1077. #1437 | C23 | semidirect |
| 1078. #1437 | C23 | semidirect |
| 1079. #1437 | C23 | semidirect |
| 1080. #1437 | C23 | semidirect |
| 1081. #1437 | C23 | semidirect |
| 1082. #1437 | C23 | semidirect |
| 1083. #1437 | C23 | semidirect |
| 1084. #1437 | C23 | semidirect |
| 1085. #1437 | C23 | semidirect |
| 1086. #1437 | C23 | semidirect |
| 1087. #1437 | C23 | semidirect |
| 1088. #1437 | C23 | semidirect |
| 1089. #1437 | C23 | semidirect |
| 1090. #1437 | C23 | semidirect |
| 1091. #1437 | C23 | semidirect |
| 1092. #1437 | C23 | semidirect |
| 1093. #1437 | C23 | semidirect |
| 1094. #1437 | C23 | semidirect |
| 1095. #1437 | C23 | semidirect |
| 1096. #1437 | C23 | semidirect |
| 1097. #1436 | C23 | semidirect |
| 1098. #1436 | C23 | semidirect |
| 1099. #1436 | C23 | semidirect |
| 1100. #1436 | C23 | semidirect |
| 1101. #1436 | C23 | semidirect |
| 1102. #1436 | C23 | semidirect |
| 1103. #1436 | C23 | semidirect |
| 1104. #1436 | C23 | semidirect |
| 1105. #1436 | C23 | semidirect |
| 1106. C4⋊#95 | C23 | semidirect |
| 1107. C4⋊#95 | C23 | semidirect |
| 1108. C4⋊#95 | C23 | semidirect |
| 1109. #1434 | C23 | semidirect |
| 1110. #1434 | C23 | semidirect |
| 1123. C22⋊#95 | C23 | semidirect |
| 1124. C22⋊#95 | C23 | semidirect |
| 1125. C22⋊#95 | C23 | semidirect |
| 1126. C22⋊#95 | C23 | semidirect |
| 1127. C22⋊#95 | C23 | semidirect |
| 1128. C22⋊#95 | C23 | semidirect |
| 1129. C22⋊#95 | C23 | semidirect |
| 1130. C22⋊#95 | C23 | semidirect |
| 1131. C22⋊#95 | C23 | semidirect |
| 1132. C22⋊#95 | C23 | semidirect |
| 1133. C22⋊#95 | C23 | semidirect |
| 1134. C22⋊#95 | C23 | semidirect |
| 1135. C22⋊#95 | C23 | semidirect |
| 1136. C22⋊#95 | C23 | semidirect |
| 1137. C22⋊#95 | C23 | semidirect |
| 1138. C22⋊#95 | C23 | semidirect |
| 1139. C22⋊#95 | C23 | semidirect |
| 1140. C22⋊#95 | C23 | semidirect |
| 1141. C4×#95 | C23 | semidirect |
| 1142. C4×#95 | C23 | semidirect |
| 1143. C4×#95 | C23 | semidirect |
| 1157. C23×D4 | C2×D4 | semidirect |
| 1158. C23×D4 | C2×D4 | semidirect |
| 1236. C2×#120 | C2×D4 | semidirect |
| 1237. C2×#120 | C2×D4 | semidirect |
| 1238. C2×#120 | C2×D4 | semidirect |
| 1239. C2×#120 | C2×D4 | semidirect |
| 1240. C2×#120 | C2×D4 | semidirect |
| 1423. #394 | C2×D4 | semidirect |
| 1424. #394 | C2×D4 | semidirect |
| 1425. #394 | C2×D4 | semidirect |
| 1426. #392 | C2×D4 | semidirect |
| 1427. #392 | C2×D4 | semidirect |
| 1428. #390 | C2×D4 | semidirect |
| 1429. #390 | C2×D4 | semidirect |
| 1430. #386 | C2×D4 | semidirect |
| 1431. #386 | C2×D4 | semidirect |
| 1432. #386 | C2×D4 | semidirect |
| 1433. #379 | C2×D4 | semidirect |
| 1523. C25 | C22×D4 | semidirect |
| 1583. C2×C4⋊C4 | C22×D4 | semidirect |
| 1584. C2×C4⋊C4 | C22×D4 | semidirect |
| 1598. C2×C22⋊C4 | C22×D4 | semidirect |
| 1599. C2×C22⋊C4 | C22×D4 | semidirect |
| 1600. C2×C22⋊C4 | C22×D4 | semidirect |
| 1601. C2×C22⋊C4 | C22×D4 | semidirect |
| 1602. C2×C22⋊C4 | C22×D4 | semidirect |
| 1604. C2×C42 | C22×D4 | semidirect |
| 1607. #95 | C22×D4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.