Order 2048.
At least 6422 conjugacy classes of subgroups; only the 42440 normal subgroups are shown.
The subgroup lattice has 1710 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, socle | C25 | C26 |
| commutator, Frattini, cosocle | C24 | C27 |
| LCS | G ▷ C24 ▷ C1 | |
| UCS | C1 ◁ C25 ◁ G | |
| LECS | G ▷ C24 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#517129 | C2 | semidirect |
| 2. C2×#612796 | C2 | semidirect |
| 3. C2×#612805 | C2 | semidirect |
| 4. C2×#1418386 | C2 | semidirect |
| 5. C2×#617717 | C2 | semidirect |
| 6. C2×#616973 | C2 | semidirect |
| 7. C2×#616964 | C2 | semidirect |
| 8. C2×#617708 | C2 | semidirect |
| 9. C2×#521402 | C2 | semidirect |
| 10. C2×#4307993 | C2 | semidirect |
| 11. #72297578 | C2 | direct (N × H) |
| 12. C2×#1420272 | C2 | semidirect |
| 13. C2×#1418354 | C2 | semidirect |
| 14. C2×#1420271 | C2 | semidirect |
| 15. C2×#521311 | C2 | semidirect |
| 16. C2×#617359 | C2 | semidirect |
| 17. C2×#617353 | C2 | semidirect |
| 18. C22×#39336 | C2 | semidirect |
| 19. C2×#612433 | C2 | semidirect |
| 20. C2×#1418353 | C2 | semidirect |
| 21. C2×#4307937 | C2 | semidirect |
| 22. C2×#1418385 | C2 | semidirect |
| 23. C22×#37644 | C2 | semidirect |
| 24. C22×#34980 | C2 | semidirect |
| 25. C2×#612424 | C2 | semidirect |
| 26. C24×D42 | C2 | semidirect |
| 27. C26×D4 | C22 | semidirect |
| 28. C26×D4 | C22 | semidirect |
| 30. C23×D42 | C22 | semidirect |
| 31. C23×D42 | C22 | semidirect |
| 32. C23×D42 | C22 | semidirect |
| 33. C23×D42 | C22 | semidirect |
| 34. C23×#534 | C22 | semidirect |
| 35. C23×#534 | C22 | semidirect |
| 37. C24×#121 | C22 | semidirect |
| 38. C24×#121 | C22 | semidirect |
| 40. C24×#120 | C22 | semidirect |
| 41. C24×#120 | C22 | semidirect |
| 42. C24×C4×D4 | C22 | semidirect |
| 43. C24×C4×D4 | C22 | semidirect |
| 44. C2×#39336 | C22 | semidirect |
| 45. C2×#37644 | C22 | semidirect |
| 46. C22×#2673 | C22 | semidirect |
| 47. C22×#2679 | C22 | semidirect |
| 48. C22×#2669 | C22 | semidirect |
| 49. C22×#2669 | C22 | semidirect |
| 50. C22×#2678 | C22 | semidirect |
| 51. C22×#2668 | C22 | semidirect |
| 52. C22×#2854 | C22 | semidirect |
| 53. C22×#2849 | C22 | semidirect |
| 54. C22×#2849 | C22 | semidirect |
| 55. C22×#2849 | C22 | semidirect |
| 56. C22×#2846 | C22 | semidirect |
| 57. C22×#2846 | C22 | semidirect |
| 58. C22×#2846 | C22 | semidirect |
| 59. C22×#2846 | C22 | semidirect |
| 60. C2×#34980 | C22 | semidirect |
| 61. C22×#2541 | C22 | semidirect |
| 62. C22×#2539 | C22 | semidirect |
| 63. C22×#2534 | C22 | semidirect |
| 64. C22×#2445 | C22 | semidirect |
| 65. C22×#2428 | C22 | semidirect |
| 66. C22×#2433 | C22 | semidirect |
| 67. C22×#2433 | C22 | semidirect |
| 68. C22×#2408 | C22 | semidirect |
| 69. C22×#2408 | C22 | semidirect |
| 70. C22×#2412 | C22 | semidirect |
| 71. C22×#2405 | C22 | semidirect |
| 72. C22×#2405 | C22 | semidirect |
| 73. C22×#2424 | C22 | semidirect |
| 74. C22×#2418 | C22 | semidirect |
| 75. C22×#2410 | C22 | semidirect |
| 76. C22×#2410 | C22 | semidirect |
| 77. C22×#2410 | C22 | semidirect |
| 78. C22×#2410 | C22 | semidirect |
| 79. C22×#2410 | C22 | semidirect |
| 80. C22×#2403 | C22 | semidirect |
| 81. C22×#2403 | C22 | semidirect |
| 82. C22×#2403 | C22 | semidirect |
| 83. C22×#2403 | C22 | semidirect |
| 84. C22×#2403 | C22 | semidirect |
| 85. C22×#2617 | C22 | semidirect |
| 87. C22×#2613 | C22 | semidirect |
| 88. C22×#2613 | C22 | semidirect |
| 89. C22×#2613 | C22 | semidirect |
| 90. C22×#2613 | C22 | semidirect |
| 91. C22×#2613 | C22 | semidirect |
| 92. C22×#2613 | C22 | semidirect |
| 93. C22×D4×C22⋊C4 | C22 | semidirect |
| 94. C22×D4×C22⋊C4 | C22 | semidirect |
| 95. C22×#2321 | C22 | semidirect |
| 96. C22×#2308 | C22 | semidirect |
| 97. C22×#2308 | C22 | semidirect |
| 98. C22×C4×#123 | C22 | semidirect |
| 99. C23×#379 | C22 | semidirect |
| 100. #4307993 | C22 | semidirect |
| 101. #4307937 | C22 | semidirect |
| 102. #1420272 | C22 | semidirect |
| 103. #1420271 | C22 | semidirect |
| 104. #1418386 | C22 | semidirect |
| 105. #1418385 | C22 | semidirect |
| 106. #1418354 | C22 | semidirect |
| 107. #1418353 | C22 | semidirect |
| 108. #617717 | C22 | semidirect |
| 109. #617708 | C22 | semidirect |
| 110. #617359 | C22 | semidirect |
| 111. #617353 | C22 | semidirect |
| 112. #616973 | C22 | semidirect |
| 113. #616964 | C22 | semidirect |
| 114. #612805 | C22 | semidirect |
| 115. #612796 | C22 | semidirect |
| 116. #612433 | C22 | semidirect |
| 117. #612424 | C22 | semidirect |
| 118. C2×#15950 | C22 | semidirect |
| 119. C2×#15312 | C22 | semidirect |
| 120. C2×#15283 | C22 | semidirect |
| 121. C2×#15281 | C22 | semidirect |
| 122. C2×#15278 | C22 | semidirect |
| 123. C2×#15278 | C22 | semidirect |
| 124. C2×#15278 | C22 | semidirect |
| 125. C2×#15277 | C22 | semidirect |
| 126. C2×#15274 | C22 | semidirect |
| 127. C2×#15274 | C22 | semidirect |
| 128. C2×#15273 | C22 | semidirect |
| 129. C2×#15273 | C22 | semidirect |
| 130. C2×#15268 | C22 | semidirect |
| 131. C2×#15267 | C22 | semidirect |
| 132. C2×#15267 | C22 | semidirect |
| 133. C2×#15267 | C22 | semidirect |
| 134. C2×#15263 | C22 | semidirect |
| 135. C2×#15263 | C22 | semidirect |
| 136. C2×#15263 | C22 | semidirect |
| 137. C2×#15260 | C22 | semidirect |
| 138. C2×#15258 | C22 | semidirect |
| 139. C2×#15257 | C22 | semidirect |
| 140. C2×#15257 | C22 | semidirect |
| 141. C2×#15257 | C22 | semidirect |
| 142. C2×#15073 | C22 | semidirect |
| 143. C2×#15069 | C22 | semidirect |
| 144. C2×#15069 | C22 | semidirect |
| 145. C2×#14918 | C22 | semidirect |
| 146. C2×#14911 | C22 | semidirect |
| 147. C2×#14911 | C22 | semidirect |
| 148. C2×#14911 | C22 | semidirect |
| 149. C2×#14868 | C22 | semidirect |
| 150. C2×#14812 | C22 | semidirect |
| 151. C2×#14811 | C22 | semidirect |
| 152. C2×#14811 | C22 | semidirect |
| 153. C2×#14807 | C22 | semidirect |
| 154. C2×#14806 | C22 | semidirect |
| 155. C2×#14806 | C22 | semidirect |
| 156. C2×#14724 | C22 | semidirect |
| 157. C2×#14724 | C22 | semidirect |
| 158. C2×#14724 | C22 | semidirect |
| 159. C2×#14724 | C22 | semidirect |
| 160. C2×#14724 | C22 | semidirect |
| 162. C2×#14715 | C22 | semidirect |
| 163. C2×#14715 | C22 | semidirect |
| 164. C2×#14715 | C22 | semidirect |
| 165. C2×#14715 | C22 | semidirect |
| 166. C2×#14715 | C22 | semidirect |
| 167. C2×#14715 | C22 | semidirect |
| 168. C2×#14715 | C22 | semidirect |
| 169. C2×#14715 | C22 | semidirect |
| 170. C2×#14715 | C22 | semidirect |
| 171. C2×#14694 | C22 | semidirect |
| 172. C2×#14694 | C22 | semidirect |
| 173. C2×#14694 | C22 | semidirect |
| 174. C2×#14693 | C22 | semidirect |
| 175. C2×#14685 | C22 | semidirect |
| 176. C2×#14681 | C22 | semidirect |
| 177. C2×#14679 | C22 | semidirect |
| 178. C2×#14679 | C22 | semidirect |
| 179. #521402 | C22 | semidirect |
| 180. #521311 | C22 | semidirect |
| 181. C2×#14419 | C22 | semidirect |
| 182. C2×#14419 | C22 | semidirect |
| 183. C2×#14357 | C22 | semidirect |
| 184. C2×#14357 | C22 | semidirect |
| 185. #517129 | C22 | semidirect |
| 186. C2×#14338 | C22 | semidirect |
| 187. C2×#14335 | C22 | semidirect |
| 188. C2×#14335 | C22 | semidirect |
| 189. C2×#14335 | C22 | semidirect |
| 190. C2×#14335 | C22 | semidirect |
| 191. C2×#14263 | C22 | semidirect |
| 192. C2×#14256 | C22 | semidirect |
| 193. C2×#14256 | C22 | semidirect |
| 194. C2×#14190 | C22 | semidirect |
| 195. C2×#14189 | C22 | semidirect |
| 196. C2×#14189 | C22 | semidirect |
| 197. C2×#14176 | C22 | semidirect |
| 198. C2×#14176 | C22 | semidirect |
| 199. C2×#14175 | C22 | semidirect |
| 200. C2×#14175 | C22 | semidirect |
| 201. C2×#14025 | C22 | semidirect |
| 202. C2×#13967 | C22 | semidirect |
| 203. C2×#13967 | C22 | semidirect |
| 204. C2×#13903 | C22 | semidirect |
| 205. C2×#13903 | C22 | semidirect |
| 206. C2×#13902 | C22 | semidirect |
| 207. C2×#13869 | C22 | semidirect |
| 208. C2×#13869 | C22 | semidirect |
| 209. C2×#13867 | C22 | semidirect |
| 210. C2×#13867 | C22 | semidirect |
| 211. C2×#13867 | C22 | semidirect |
| 212. C2×#13867 | C22 | semidirect |
| 213. C2×#13867 | C22 | semidirect |
| 214. C2×#13867 | C22 | semidirect |
| 215. C2×#13775 | C22 | semidirect |
| 216. C2×C4×#381 | C22 | semidirect |
| 234. C25×D4 | C23 | semidirect |
| 235. C25×D4 | C23 | semidirect |
| 236. C25×D4 | C23 | semidirect |
| 237. C25×D4 | C23 | semidirect |
| 241. C22×D42 | C23 | semidirect |
| 242. C22×D42 | C23 | semidirect |
| 243. C22×D42 | C23 | semidirect |
| 244. C22×#534 | C23 | semidirect |
| 245. C22×#534 | C23 | semidirect |
| 246. C23×#127 | D4 | semidirect |
| 251. C23×#127 | C23 | semidirect |
| 252. C23×#127 | C23 | semidirect |
| 258. C23×#123 | C23 | semidirect |
| 259. C23×#123 | C23 | semidirect |
| 265. C23×#121 | C23 | semidirect |
| 266. C23×#121 | C23 | semidirect |
| 267. C23×#121 | C23 | semidirect |
| 268. C23×#121 | C23 | semidirect |
| 269. C23×#121 | C23 | semidirect |
| 270. C23×#121 | C23 | semidirect |
| 271. C23×#121 | C23 | semidirect |
| 272. C23×#121 | C23 | semidirect |
| 273. C23×#121 | C23 | semidirect |
| 274. C23×#121 | C23 | semidirect |
| 275. C23×#121 | C23 | semidirect |
| 276. C23×#120 | D4 | semidirect |
| 294. C23×#120 | C23 | semidirect |
| 295. C23×#120 | C23 | semidirect |
| 296. C23×#120 | C23 | semidirect |
| 297. C23×#120 | C23 | semidirect |
| 298. C23×#120 | C23 | semidirect |
| 299. C23×#120 | C23 | semidirect |
| 300. C23×#120 | C23 | semidirect |
| 301. C23×#120 | C23 | semidirect |
| 302. C23×#120 | C23 | semidirect |
| 303. C23×#120 | C23 | semidirect |
| 304. C23×#120 | C23 | semidirect |
| 305. C23×#120 | C23 | semidirect |
| 306. C23×#120 | C23 | semidirect |
| 307. C23×#120 | C23 | semidirect |
| 313. C23×C4×D4 | C23 | semidirect |
| 314. C23×C4×D4 | C23 | semidirect |
| 315. C23×C4×D4 | C23 | semidirect |
| 316. C23×C4×D4 | C23 | semidirect |
| 317. C23×C4×D4 | C23 | semidirect |
| 327. C24×C22⋊C4 | C23 | semidirect |
| 328. C24×C22⋊C4 | C23 | semidirect |
| 330. C2×#2679 | C23 | semidirect |
| 331. C2×#2678 | C23 | semidirect |
| 332. C2×#2673 | C23 | semidirect |
| 333. C2×#2669 | C23 | semidirect |
| 334. C2×#2669 | C23 | semidirect |
| 335. C2×#2668 | C23 | semidirect |
| 336. C2×#2854 | C23 | semidirect |
| 337. C2×#2849 | C23 | semidirect |
| 338. C2×#2849 | C23 | semidirect |
| 339. C2×#2849 | C23 | semidirect |
| 340. C2×#2846 | C23 | semidirect |
| 341. C2×#2846 | C23 | semidirect |
| 342. C2×#2846 | C23 | semidirect |
| 343. C2×#2846 | C23 | semidirect |
| 344. C2×#2541 | C23 | semidirect |
| 345. C2×#2539 | C23 | semidirect |
| 346. C2×#2534 | C23 | semidirect |
| 347. C2×#2445 | C23 | semidirect |
| 348. C2×#2428 | C23 | semidirect |
| 349. C2×#2433 | C23 | semidirect |
| 350. C2×#2433 | C23 | semidirect |
| 351. C2×#2408 | C23 | semidirect |
| 352. C2×#2408 | C23 | semidirect |
| 353. C2×#2412 | C23 | semidirect |
| 354. C2×#2405 | C23 | semidirect |
| 355. C2×#2405 | C23 | semidirect |
| 356. C2×#2424 | C23 | semidirect |
| 357. C2×#2418 | C23 | semidirect |
| 358. C2×#2410 | C23 | semidirect |
| 359. C2×#2410 | C23 | semidirect |
| 360. C2×#2410 | C23 | semidirect |
| 361. C2×#2410 | C23 | semidirect |
| 362. C2×#2410 | C23 | semidirect |
| 363. C2×#2403 | C23 | semidirect |
| 364. C2×#2403 | C23 | semidirect |
| 365. C2×#2403 | C23 | semidirect |
| 366. C2×#2403 | C23 | semidirect |
| 367. C2×#2403 | C23 | semidirect |
| 368. C2×#2617 | C23 | semidirect |
| 369. C2×#2613 | D4 | semidirect |
| 371. C2×#2613 | C23 | semidirect |
| 372. C2×#2613 | C23 | semidirect |
| 373. C2×#2613 | C23 | semidirect |
| 374. C2×#2613 | C23 | semidirect |
| 375. C2×#2613 | C23 | semidirect |
| 376. C2×#2613 | C23 | semidirect |
| 377. C22×#399 | C23 | semidirect |
| 378. C22×#397 | C23 | semidirect |
| 379. C22×#397 | C23 | semidirect |
| 380. C22×#396 | C23 | semidirect |
| 384. C22×#394 | C23 | semidirect |
| 385. C22×#394 | C23 | semidirect |
| 386. C22×#394 | C23 | semidirect |
| 387. C22×#394 | C23 | semidirect |
| 388. C22×#394 | C23 | semidirect |
| 389. C22×#394 | C23 | semidirect |
| 390. C22×#394 | C23 | semidirect |
| 391. C22×#394 | C23 | semidirect |
| 392. C22×#394 | C23 | semidirect |
| 393. C22×#394 | C23 | semidirect |
| 394. C22×#394 | C23 | semidirect |
| 395. C22×#394 | C23 | semidirect |
| 396. C22×#394 | C23 | semidirect |
| 397. C22×#394 | C23 | semidirect |
| 398. C22×#394 | C23 | semidirect |
| 399. C22×#394 | C23 | semidirect |
| 400. C22×#394 | C23 | semidirect |
| 405. C22×#392 | C23 | semidirect |
| 406. C22×#392 | C23 | semidirect |
| 407. C22×#392 | C23 | semidirect |
| 408. C22×#392 | C23 | semidirect |
| 409. C22×#392 | C23 | semidirect |
| 410. C22×#392 | C23 | semidirect |
| 411. C22×#392 | C23 | semidirect |
| 412. C22×#392 | C23 | semidirect |
| 413. C22×#392 | C23 | semidirect |
| 414. C22×#392 | C23 | semidirect |
| 415. C22×#392 | C23 | semidirect |
| 416. C22×#392 | C23 | semidirect |
| 417. C22×#392 | C23 | semidirect |
| 418. C22×#392 | C23 | semidirect |
| 419. C22×#392 | C23 | semidirect |
| 420. C22×#392 | C23 | semidirect |
| 421. C22×#392 | C23 | semidirect |
| 422. C22×#392 | C23 | semidirect |
| 423. C22×#392 | C23 | semidirect |
| 424. C22×#392 | C23 | semidirect |
| 425. C2×D4×C22⋊C4 | C23 | semidirect |
| 426. C2×D4×C22⋊C4 | C23 | semidirect |
| 427. C2×#2321 | C23 | semidirect |
| 428. C2×#2308 | C23 | semidirect |
| 429. C2×#2308 | C23 | semidirect |
| 430. C2×C4×#123 | C23 | semidirect |
| 431. C22×#390 | C23 | semidirect |
| 432. C22×#390 | C23 | semidirect |
| 433. C22×#390 | C23 | semidirect |
| 434. C22×#390 | C23 | semidirect |
| 435. C22×#390 | C23 | semidirect |
| 436. C22×#390 | C23 | semidirect |
| 437. C22×#390 | C23 | semidirect |
| 438. C22×#390 | C23 | semidirect |
| 439. C22×#390 | C23 | semidirect |
| 440. C22×#389 | C23 | semidirect |
| 441. C22×#388 | C23 | semidirect |
| 442. C22×#388 | C23 | semidirect |
| 443. C22×#388 | C23 | semidirect |
| 444. C22×#388 | C23 | semidirect |
| 445. C22×#388 | C23 | semidirect |
| 446. C22×#387 | C23 | semidirect |
| 452. C22×#386 | C23 | semidirect |
| 453. C22×#386 | C23 | semidirect |
| 454. C22×#386 | C23 | semidirect |
| 455. C22×#386 | C23 | semidirect |
| 456. C22×#386 | C23 | semidirect |
| 457. C22×#386 | C23 | semidirect |
| 458. C22×#386 | C23 | semidirect |
| 459. C22×#386 | C23 | semidirect |
| 460. C22×#386 | C23 | semidirect |
| 461. C22×#386 | C23 | semidirect |
| 462. C22×#386 | C23 | semidirect |
| 463. C22×#386 | C23 | semidirect |
| 464. C22×#386 | C23 | semidirect |
| 465. C22×#386 | C23 | semidirect |
| 466. C22×#386 | C23 | semidirect |
| 467. C22×#386 | C23 | semidirect |
| 468. C22×#386 | C23 | semidirect |
| 469. C22×#386 | C23 | semidirect |
| 470. C22×#386 | C23 | semidirect |
| 471. C22×#386 | C23 | semidirect |
| 472. C22×#386 | C23 | semidirect |
| 473. C22×#386 | C23 | semidirect |
| 474. C22×#386 | C23 | semidirect |
| 475. C22×#386 | C23 | semidirect |
| 478. C22×#385 | C23 | semidirect |
| 479. C22×#385 | C23 | semidirect |
| 480. C22×#385 | C23 | semidirect |
| 481. C22×#385 | C23 | semidirect |
| 482. C22×#385 | C23 | semidirect |
| 494. C22×#380 | C23 | semidirect |
| 513. C22×#379 | C23 | semidirect |
| 514. C22×#379 | C23 | semidirect |
| 515. C22×#379 | C23 | semidirect |
| 516. C22×#379 | C23 | semidirect |
| 517. C22×#379 | C23 | semidirect |
| 518. C22×#379 | C23 | semidirect |
| 519. C22×#379 | C23 | semidirect |
| 520. C22×#379 | C23 | semidirect |
| 521. C22×#379 | C23 | semidirect |
| 522. C22×#379 | C23 | semidirect |
| 523. C22×#379 | C23 | semidirect |
| 524. C22×#379 | C23 | semidirect |
| 525. C22×C4×C4⋊C4 | C23 | semidirect |
| 528. C22×C4×C22⋊C4 | C23 | semidirect |
| 529. #15950 | C23 | semidirect |
| 530. #15312 | C23 | semidirect |
| 531. #15283 | C23 | semidirect |
| 532. #15281 | C23 | semidirect |
| 533. #15278 | C23 | semidirect |
| 534. #15278 | C23 | semidirect |
| 535. #15278 | C23 | semidirect |
| 536. #15277 | C23 | semidirect |
| 537. #15274 | C23 | semidirect |
| 538. #15274 | C23 | semidirect |
| 539. #15273 | C23 | semidirect |
| 540. #15273 | C23 | semidirect |
| 541. #15268 | C23 | semidirect |
| 542. #15267 | C23 | semidirect |
| 543. #15267 | C23 | semidirect |
| 544. #15267 | C23 | semidirect |
| 545. #15263 | C23 | semidirect |
| 546. #15263 | C23 | semidirect |
| 547. #15263 | C23 | semidirect |
| 548. #15260 | C23 | semidirect |
| 549. #15258 | C23 | semidirect |
| 550. #15257 | C23 | semidirect |
| 551. #15257 | C23 | semidirect |
| 552. #15257 | C23 | semidirect |
| 553. #15073 | C23 | semidirect |
| 554. #15069 | C23 | semidirect |
| 555. #15069 | C23 | semidirect |
| 556. #14918 | C23 | semidirect |
| 557. #14911 | C23 | semidirect |
| 558. #14911 | C23 | semidirect |
| 559. #14911 | C23 | semidirect |
| 560. #14868 | C23 | semidirect |
| 561. #14812 | C23 | semidirect |
| 562. #14811 | C23 | semidirect |
| 563. #14811 | C23 | semidirect |
| 564. #14807 | C23 | semidirect |
| 565. #14806 | C23 | semidirect |
| 566. #14806 | C23 | semidirect |
| 567. #14724 | C23 | semidirect |
| 568. #14724 | C23 | semidirect |
| 569. #14724 | C23 | semidirect |
| 570. #14724 | C23 | semidirect |
| 571. #14724 | C23 | semidirect |
| 573. #14715 | C23 | semidirect |
| 574. #14715 | C23 | semidirect |
| 575. #14715 | C23 | semidirect |
| 576. #14715 | C23 | semidirect |
| 577. #14715 | C23 | semidirect |
| 578. #14715 | C23 | semidirect |
| 579. #14715 | C23 | semidirect |
| 580. #14715 | C23 | semidirect |
| 581. #14715 | C23 | semidirect |
| 582. #14694 | C23 | semidirect |
| 583. #14694 | C23 | semidirect |
| 584. #14694 | C23 | semidirect |
| 585. #14693 | C23 | semidirect |
| 586. #14685 | C23 | semidirect |
| 587. #14681 | C23 | semidirect |
| 588. #14679 | C23 | semidirect |
| 589. #14679 | C23 | semidirect |
| 590. #14419 | C23 | semidirect |
| 591. #14419 | C23 | semidirect |
| 592. #14357 | C23 | semidirect |
| 593. #14357 | C23 | semidirect |
| 594. #14338 | C23 | semidirect |
| 595. #14335 | C23 | semidirect |
| 596. #14335 | C23 | semidirect |
| 597. #14335 | C23 | semidirect |
| 598. #14335 | C23 | semidirect |
| 599. #14263 | C23 | semidirect |
| 600. #14256 | C23 | semidirect |
| 601. #14256 | C23 | semidirect |
| 602. #14190 | C23 | semidirect |
| 603. #14189 | C23 | semidirect |
| 604. #14189 | C23 | semidirect |
| 605. #14176 | C23 | semidirect |
| 606. #14176 | C23 | semidirect |
| 607. #14175 | C23 | semidirect |
| 608. #14175 | C23 | semidirect |
| 609. #14025 | C23 | semidirect |
| 610. #13967 | C23 | semidirect |
| 611. #13967 | C23 | semidirect |
| 612. #13903 | C23 | semidirect |
| 613. #13903 | C23 | semidirect |
| 614. #13902 | C23 | semidirect |
| 615. #13869 | C23 | semidirect |
| 616. #13869 | C23 | semidirect |
| 617. #13867 | C23 | semidirect |
| 618. #13867 | C23 | semidirect |
| 619. #13867 | C23 | semidirect |
| 620. #13867 | C23 | semidirect |
| 621. #13867 | C23 | semidirect |
| 622. #13867 | C23 | semidirect |
| 623. C2×#1444 | C23 | semidirect |
| 624. C2×#1444 | C23 | semidirect |
| 625. C2×#1444 | C23 | semidirect |
| 626. C2×#1442 | C23 | semidirect |
| 627. C2×#1442 | C23 | semidirect |
| 628. C2×#1441 | C23 | semidirect |
| 629. C2×#1441 | C23 | semidirect |
| 630. C2×#1441 | C23 | semidirect |
| 631. C2×#1440 | C23 | semidirect |
| 632. C2×#1440 | C23 | semidirect |
| 633. C2×#1440 | C23 | semidirect |
| 634. C2×#1439 | C23 | semidirect |
| 635. C2×#1439 | C23 | semidirect |
| 636. C2×#1439 | C23 | semidirect |
| 637. C2×#1439 | C23 | semidirect |
| 638. C2×#1439 | C23 | semidirect |
| 639. C2×#1439 | C23 | semidirect |
| 640. C2×#1439 | C23 | semidirect |
| 641. C2×#1439 | C23 | semidirect |
| 642. C2×#1439 | C23 | semidirect |
| 643. C2×#1439 | C23 | semidirect |
| 644. C2×#1439 | C23 | semidirect |
| 645. C2×#1439 | C23 | semidirect |
| 651. C2×#1438 | C23 | semidirect |
| 652. C2×#1438 | C23 | semidirect |
| 653. C2×#1438 | C23 | semidirect |
| 654. C2×#1438 | C23 | semidirect |
| 655. C2×#1438 | C23 | semidirect |
| 656. C2×#1438 | C23 | semidirect |
| 657. C2×#1438 | C23 | semidirect |
| 658. C2×#1438 | C23 | semidirect |
| 659. C2×#1438 | C23 | semidirect |
| 660. C2×#1438 | C23 | semidirect |
| 661. C2×#1438 | C23 | semidirect |
| 662. C2×#1438 | C23 | semidirect |
| 663. C2×#1438 | C23 | semidirect |
| 664. C2×#1438 | C23 | semidirect |
| 665. C2×#1438 | C23 | semidirect |
| 666. C2×#1438 | C23 | semidirect |
| 667. C2×#1438 | C23 | semidirect |
| 668. C2×#1438 | C23 | semidirect |
| 669. #13775 | C23 | semidirect |
| 670. C4×#381 | C23 | semidirect |
| 671. C2×#1437 | C23 | semidirect |
| 672. C2×#1437 | C23 | semidirect |
| 673. C2×#1437 | C23 | semidirect |
| 674. C2×#1437 | C23 | semidirect |
| 675. C2×C4⋊#95 | C23 | semidirect |
| 676. C2×#1434 | C23 | semidirect |
| 677. C2×#1434 | C23 | semidirect |
| 685. C2×C22⋊#95 | C23 | semidirect |
| 686. C2×C22⋊#95 | C23 | semidirect |
| 687. C2×C22⋊#95 | C23 | semidirect |
| 688. C2×C22⋊#95 | C23 | semidirect |
| 689. C2×C22⋊#95 | C23 | semidirect |
| 690. C2×C22⋊#95 | C23 | semidirect |
| 691. C2×C22⋊#95 | C23 | semidirect |
| 692. C2×C22⋊#95 | C23 | semidirect |
| 693. C2×C4×#95 | C23 | semidirect |
| 694. C27 | C2×D4 | semidirect |
| 709. C24×D4 | C2×D4 | semidirect |
| 710. C24×D4 | C2×D4 | semidirect |
| 711. C24×D4 | C2×D4 | semidirect |
| 712. C24×D4 | C2×D4 | semidirect |
| 761. C24×D4 | C24 | semidirect |
| 762. C24×D4 | C24 | semidirect |
| 778. C22×#127 | C2×D4 | semidirect |
| 779. C22×#127 | C2×D4 | semidirect |
| 780. C22×#127 | C2×D4 | semidirect |
| 784. C22×#127 | C24 | semidirect |
| 785. C22×#127 | C24 | semidirect |
| 786. C22×#123 | C2×D4 | semidirect |
| 792. C22×#123 | C24 | semidirect |
| 793. C22×#123 | C24 | semidirect |
| 799. C22×#121 | C24 | semidirect |
| 800. C22×#121 | C24 | semidirect |
| 801. C22×#121 | C24 | semidirect |
| 802. C22×#121 | C24 | semidirect |
| 803. C22×#121 | C24 | semidirect |
| 804. C22×#121 | C24 | semidirect |
| 805. C22×#121 | C24 | semidirect |
| 806. C22×#121 | C24 | semidirect |
| 807. C22×#121 | C24 | semidirect |
| 810. C22×#120 | C2×D4 | semidirect |
| 811. C22×#120 | C2×D4 | semidirect |
| 812. C22×#120 | C2×D4 | semidirect |
| 813. C22×#120 | C2×D4 | semidirect |
| 830. C22×#120 | C24 | semidirect |
| 831. C22×#120 | C24 | semidirect |
| 832. C22×#120 | C24 | semidirect |
| 833. C22×#120 | C24 | semidirect |
| 834. C22×#120 | C24 | semidirect |
| 835. C22×#120 | C24 | semidirect |
| 836. C22×#120 | C24 | semidirect |
| 837. C22×#120 | C24 | semidirect |
| 838. C22×#120 | C24 | semidirect |
| 839. C22×#120 | C24 | semidirect |
| 840. C22×#120 | C24 | semidirect |
| 841. C22×#120 | C24 | semidirect |
| 847. C22×C4×D4 | C24 | semidirect |
| 848. C22×C4×D4 | C24 | semidirect |
| 849. C22×C4×D4 | C24 | semidirect |
| 865. C23×C22⋊C4 | C2×D4 | semidirect |
| 866. C23×C22⋊C4 | C2×D4 | semidirect |
| 867. C23×C22⋊C4 | C2×D4 | semidirect |
| 940. C23×C22⋊C4 | C24 | semidirect |
| 941. C23×C22⋊C4 | C24 | semidirect |
| 942. C23×C42 | C2×D4 | semidirect |
| 949. #2613 | C2×D4 | semidirect |
| 950. C2×#399 | C24 | semidirect |
| 951. C2×#397 | C24 | semidirect |
| 952. C2×#397 | C24 | semidirect |
| 953. C2×#396 | C24 | semidirect |
| 954. C2×#394 | C2×D4 | semidirect |
| 958. C2×#394 | C24 | semidirect |
| 959. C2×#394 | C24 | semidirect |
| 960. C2×#394 | C24 | semidirect |
| 961. C2×#394 | C24 | semidirect |
| 962. C2×#394 | C24 | semidirect |
| 963. C2×#394 | C24 | semidirect |
| 964. C2×#394 | C24 | semidirect |
| 965. C2×#394 | C24 | semidirect |
| 966. C2×#394 | C24 | semidirect |
| 967. C2×#394 | C24 | semidirect |
| 968. C2×#394 | C24 | semidirect |
| 969. C2×#394 | C24 | semidirect |
| 970. C2×#394 | C24 | semidirect |
| 971. C2×#394 | C24 | semidirect |
| 972. C2×#394 | C24 | semidirect |
| 973. C2×#394 | C24 | semidirect |
| 974. C2×#394 | C24 | semidirect |
| 975. C2×#392 | C2×D4 | semidirect |
| 980. C2×#392 | C24 | semidirect |
| 981. C2×#392 | C24 | semidirect |
| 982. C2×#392 | C24 | semidirect |
| 983. C2×#392 | C24 | semidirect |
| 984. C2×#392 | C24 | semidirect |
| 985. C2×#392 | C24 | semidirect |
| 986. C2×#392 | C24 | semidirect |
| 987. C2×#392 | C24 | semidirect |
| 988. C2×#392 | C24 | semidirect |
| 989. C2×#392 | C24 | semidirect |
| 990. C2×#392 | C24 | semidirect |
| 991. C2×#392 | C24 | semidirect |
| 992. C2×#392 | C24 | semidirect |
| 993. C2×#392 | C24 | semidirect |
| 994. C2×#392 | C24 | semidirect |
| 995. C2×#392 | C24 | semidirect |
| 996. C2×#392 | C24 | semidirect |
| 997. C2×#392 | C24 | semidirect |
| 998. C2×#392 | C24 | semidirect |
| 999. C2×#392 | C24 | semidirect |
| 1000. C2×#390 | C24 | semidirect |
| 1001. C2×#390 | C24 | semidirect |
| 1002. C2×#390 | C24 | semidirect |
| 1003. C2×#390 | C24 | semidirect |
| 1004. C2×#390 | C24 | semidirect |
| 1005. C2×#390 | C24 | semidirect |
| 1006. C2×#390 | C24 | semidirect |
| 1007. C2×#390 | C24 | semidirect |
| 1008. C2×#390 | C24 | semidirect |
| 1009. C2×#389 | C24 | semidirect |
| 1010. C2×#388 | C24 | semidirect |
| 1011. C2×#388 | C24 | semidirect |
| 1012. C2×#388 | C24 | semidirect |
| 1013. C2×#388 | C24 | semidirect |
| 1014. C2×#388 | C24 | semidirect |
| 1015. C2×#387 | C24 | semidirect |
| 1021. C2×#386 | C24 | semidirect |
| 1022. C2×#386 | C24 | semidirect |
| 1023. C2×#386 | C24 | semidirect |
| 1024. C2×#386 | C24 | semidirect |
| 1025. C2×#386 | C24 | semidirect |
| 1026. C2×#386 | C24 | semidirect |
| 1027. C2×#386 | C24 | semidirect |
| 1028. C2×#386 | C24 | semidirect |
| 1029. C2×#386 | C24 | semidirect |
| 1030. C2×#386 | C24 | semidirect |
| 1031. C2×#386 | C24 | semidirect |
| 1032. C2×#386 | C24 | semidirect |
| 1033. C2×#386 | C24 | semidirect |
| 1034. C2×#386 | C24 | semidirect |
| 1035. C2×#386 | C24 | semidirect |
| 1036. C2×#386 | C24 | semidirect |
| 1037. C2×#386 | C24 | semidirect |
| 1038. C2×#386 | C24 | semidirect |
| 1039. C2×#386 | C24 | semidirect |
| 1040. C2×#386 | C24 | semidirect |
| 1041. C2×#386 | C24 | semidirect |
| 1042. C2×#386 | C24 | semidirect |
| 1043. C2×#386 | C24 | semidirect |
| 1044. C2×#386 | C24 | semidirect |
| 1047. C2×#385 | C24 | semidirect |
| 1048. C2×#385 | C24 | semidirect |
| 1049. C2×#385 | C24 | semidirect |
| 1050. C2×#385 | C24 | semidirect |
| 1051. C2×#385 | C24 | semidirect |
| 1052. C2×#381 | C2×D4 | semidirect |
| 1064. C2×#380 | C24 | semidirect |
| 1065. C2×#379 | C2×D4 | semidirect |
| 1084. C2×#379 | C24 | semidirect |
| 1085. C2×#379 | C24 | semidirect |
| 1086. C2×#379 | C24 | semidirect |
| 1087. C2×#379 | C24 | semidirect |
| 1088. C2×#379 | C24 | semidirect |
| 1089. C2×#379 | C24 | semidirect |
| 1090. C2×#379 | C24 | semidirect |
| 1091. C2×#379 | C24 | semidirect |
| 1092. C2×#379 | C24 | semidirect |
| 1093. C2×#379 | C24 | semidirect |
| 1094. C2×#379 | C24 | semidirect |
| 1095. C2×C4×C4⋊C4 | C24 | semidirect |
| 1098. C2×C4×C22⋊C4 | C24 | semidirect |
| 1128. #1444 | C24 | semidirect |
| 1129. #1444 | C24 | semidirect |
| 1130. #1444 | C24 | semidirect |
| 1131. #1442 | C24 | semidirect |
| 1132. #1442 | C24 | semidirect |
| 1133. #1441 | C24 | semidirect |
| 1134. #1441 | C24 | semidirect |
| 1135. #1441 | C24 | semidirect |
| 1136. #1440 | C24 | semidirect |
| 1137. #1440 | C24 | semidirect |
| 1138. #1440 | C24 | semidirect |
| 1139. #1439 | C24 | semidirect |
| 1140. #1439 | C24 | semidirect |
| 1141. #1439 | C24 | semidirect |
| 1142. #1439 | C24 | semidirect |
| 1143. #1439 | C24 | semidirect |
| 1144. #1439 | C24 | semidirect |
| 1145. #1439 | C24 | semidirect |
| 1146. #1439 | C24 | semidirect |
| 1147. #1439 | C24 | semidirect |
| 1148. #1439 | C24 | semidirect |
| 1149. #1439 | C24 | semidirect |
| 1150. #1439 | C24 | semidirect |
| 1156. #1438 | C24 | semidirect |
| 1157. #1438 | C24 | semidirect |
| 1158. #1438 | C24 | semidirect |
| 1159. #1438 | C24 | semidirect |
| 1160. #1438 | C24 | semidirect |
| 1161. #1438 | C24 | semidirect |
| 1162. #1438 | C24 | semidirect |
| 1163. #1438 | C24 | semidirect |
| 1164. #1438 | C24 | semidirect |
| 1165. #1438 | C24 | semidirect |
| 1166. #1438 | C24 | semidirect |
| 1167. #1438 | C24 | semidirect |
| 1168. #1438 | C24 | semidirect |
| 1169. #1438 | C24 | semidirect |
| 1170. #1438 | C24 | semidirect |
| 1171. #1438 | C24 | semidirect |
| 1172. #1438 | C24 | semidirect |
| 1173. #1438 | C24 | semidirect |
| 1174. #1437 | C24 | semidirect |
| 1175. #1437 | C24 | semidirect |
| 1176. #1437 | C24 | semidirect |
| 1177. #1437 | C24 | semidirect |
| 1178. C4⋊#95 | C24 | semidirect |
| 1179. #1434 | C24 | semidirect |
| 1180. #1434 | C24 | semidirect |
| 1188. C22⋊#95 | C24 | semidirect |
| 1189. C22⋊#95 | C24 | semidirect |
| 1190. C22⋊#95 | C24 | semidirect |
| 1191. C22⋊#95 | C24 | semidirect |
| 1192. C22⋊#95 | C24 | semidirect |
| 1193. C22⋊#95 | C24 | semidirect |
| 1194. C22⋊#95 | C24 | semidirect |
| 1195. C22⋊#95 | C24 | semidirect |
| 1196. C4×#95 | C24 | semidirect |
| 1206. C26 | C22×D4 | semidirect |
| 1224. C23×D4 | #120 | semidirect |
| 1248. C23×D4 | C22×D4 | semidirect |
| 1249. C23×D4 | C22×D4 | semidirect |
| 1250. C23×D4 | C22×D4 | semidirect |
| 1251. C23×D4 | C22×D4 | semidirect |
| 1252. C23×D4 | C22×D4 | semidirect |
| 1325. C2×#127 | C22×D4 | semidirect |
| 1326. C2×#127 | C22×D4 | semidirect |
| 1327. C2×#123 | C22×D4 | semidirect |
| 1330. C2×#120 | C22×D4 | semidirect |
| 1331. C2×#120 | C22×D4 | semidirect |
| 1332. C2×#120 | C22×D4 | semidirect |
| 1333. C22×C4⋊C4 | C22×D4 | semidirect |
| 1355. C22×C22⋊C4 | C22×D4 | semidirect |
| 1356. C22×C22⋊C4 | C22×D4 | semidirect |
| 1357. C22×C22⋊C4 | C22×D4 | semidirect |
| 1358. C22×C22⋊C4 | C22×D4 | semidirect |
| 1359. C22×C22⋊C4 | C22×D4 | semidirect |
| 1360. C22×C22⋊C4 | C22×D4 | semidirect |
| 1428. C22×C42 | C22×D4 | semidirect |
| 1434. #394 | C22×D4 | semidirect |
| 1435. #392 | C22×D4 | semidirect |
| 1436. #381 | C22×D4 | semidirect |
| 1437. #379 | C22×D4 | semidirect |
| 1438. C2×#95 | C22×D4 | semidirect |
| 1510. C22×D4 | C2×#120 | semidirect |
| 1530. C22×D4 | C23×D4 | semidirect |
| 1573. C2×C4⋊C4 | C23×D4 | semidirect |
| 1582. C2×C22⋊C4 | C23×D4 | semidirect |
| 1583. C2×C22⋊C4 | C23×D4 | semidirect |
| 1584. C2×C22⋊C4 | C23×D4 | semidirect |
| 1587. #95 | C23×D4 | semidirect |
| 1708. C2 | #72297578 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.