Order 2048.
At least 7764 conjugacy classes of subgroups; only the 49008 normal subgroups are shown.
The subgroup lattice has 1922 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×#649042 | C2 | semidirect |
| 2. C2×#759293 | C2 | semidirect |
| 3. C2×#647658 | C2 | semidirect |
| 4. C2×#612432 | C2 | semidirect |
| 5. C2×#649034 | C2 | semidirect |
| 6. C2×#518973 | C2 | semidirect |
| 7. C2×#649037 | C2 | semidirect |
| 8. C2×#647662 | C2 | semidirect |
| 9. C2×#772784 | C2 | semidirect |
| 10. C2×C4×#2403 | C2 | semidirect |
| 11. C2×#612431 | C2 | semidirect |
| 12. C2×D4×#386 | C2 | semidirect |
| 13. C2×#612426 | C2 | semidirect |
| 14. C2×D4×#379 | C2 | semidirect |
| 15. C2×#772779 | C2 | semidirect |
| 16. C2×#759288 | C2 | semidirect |
| 17. C24×#546 | C2 | semidirect |
| 18. C22×#36212 | C2 | semidirect |
| 19. #72256588 | C2 | direct (N × H) |
| 20. C22×#13867 | C2 | semidirect |
| 21. C22×#36152 | C2 | semidirect |
| 22. C2×#647657 | C2 | semidirect |
| 23. C2×#647663 | C2 | semidirect |
| 24. C2×#647714 | C2 | semidirect |
| 25. C2×#4306523 | C2 | semidirect |
| 26. C2×#612424 | C2 | semidirect |
| 27. C24×D42 | C2 | semidirect |
| 28. C25×#41 | C22 | semidirect |
| 31. C26×D4 | C22 | semidirect |
| 33. C23×#546 | C22 | semidirect |
| 34. C23×#546 | C22 | semidirect |
| 35. C23×#546 | C22 | semidirect |
| 36. C23×#546 | C22 | semidirect |
| 37. C23×#546 | C22 | semidirect |
| 38. C23×#546 | C22 | semidirect |
| 39. C23×#546 | C22 | semidirect |
| 43. C23×D42 | C22 | semidirect |
| 44. C23×D42 | C22 | semidirect |
| 45. C23×D42 | C22 | semidirect |
| 46. C23×D42 | C22 | semidirect |
| 47. C24×#127 | C22 | semidirect |
| 48. C24×#124 | C22 | semidirect |
| 49. C24×#123 | C22 | semidirect |
| 50. C24×C22⋊Q8 | C22 | semidirect |
| 52. C24×#121 | C22 | semidirect |
| 53. C24×#121 | C22 | semidirect |
| 54. C24×#121 | C22 | semidirect |
| 55. C24×#121 | C22 | semidirect |
| 57. C24×#120 | C22 | semidirect |
| 58. C24×#120 | C22 | semidirect |
| 60. C24×C4×D4 | C22 | semidirect |
| 61. C24×C4×D4 | C22 | semidirect |
| 62. C24×C4×D4 | C22 | semidirect |
| 63. C25×C22⋊C4 | C22 | semidirect |
| 64. C22×#2849 | C22 | semidirect |
| 65. C22×#2848 | C22 | semidirect |
| 66. C22×#2847 | C22 | semidirect |
| 67. C22×#2846 | C22 | semidirect |
| 68. C2×#36212 | C22 | semidirect |
| 69. C2×#36152 | C22 | semidirect |
| 70. C22×#2430 | C22 | semidirect |
| 71. C22×#2404 | C22 | semidirect |
| 72. C22×#2431 | C22 | semidirect |
| 73. C22×#2407 | C22 | semidirect |
| 74. C22×#2436 | C22 | semidirect |
| 75. C22×#2435 | C22 | semidirect |
| 76. C22×#2435 | C22 | semidirect |
| 77. C22×#2409 | C22 | semidirect |
| 78. C22×#2408 | C22 | semidirect |
| 79. C22×#2408 | C22 | semidirect |
| 80. C22×#2405 | C22 | semidirect |
| 81. C22×#2405 | C22 | semidirect |
| 82. C22×#2410 | C22 | semidirect |
| 83. C22×#2410 | C22 | semidirect |
| 84. C22×#2410 | C22 | semidirect |
| 86. C22×#2403 | C22 | semidirect |
| 87. C22×#2403 | C22 | semidirect |
| 88. C22×#2403 | C22 | semidirect |
| 89. C22×#2339 | C22 | semidirect |
| 90. C22×D4×C22⋊C4 | C22 | semidirect |
| 91. C22×D4×C22⋊C4 | C22 | semidirect |
| 92. C22×D4×C22⋊C4 | C22 | semidirect |
| 93. C22×D4×C22⋊C4 | C22 | semidirect |
| 94. C22×C4×#120 | C22 | semidirect |
| 95. C22×C4×#120 | C22 | semidirect |
| 96. C23×#386 | C22 | semidirect |
| 97. C23×#386 | C22 | semidirect |
| 98. C23×#379 | C22 | semidirect |
| 99. C23×#379 | C22 | semidirect |
| 100. #4306523 | C22 | semidirect |
| 101. #772784 | C22 | semidirect |
| 102. #772779 | C22 | semidirect |
| 103. #759293 | C22 | semidirect |
| 104. #759288 | C22 | semidirect |
| 105. #649042 | C22 | semidirect |
| 106. #649037 | C22 | semidirect |
| 107. #649034 | C22 | semidirect |
| 108. #647714 | C22 | semidirect |
| 109. #647663 | C22 | semidirect |
| 110. #647662 | C22 | semidirect |
| 111. #647658 | C22 | semidirect |
| 112. #647657 | C22 | semidirect |
| 113. #612432 | C22 | semidirect |
| 114. #612431 | C22 | semidirect |
| 115. #612426 | C22 | semidirect |
| 116. #612424 | C22 | semidirect |
| 117. C2×#16253 | C22 | semidirect |
| 118. C2×#16249 | C22 | semidirect |
| 119. C2×#15950 | C22 | semidirect |
| 120. C2×#15948 | C22 | semidirect |
| 121. C2×#15673 | C22 | semidirect |
| 122. C2×#15310 | C22 | semidirect |
| 123. C2×#15278 | C22 | semidirect |
| 124. C2×#15263 | C22 | semidirect |
| 125. C2×#15263 | C22 | semidirect |
| 126. C2×#15261 | C22 | semidirect |
| 127. C2×#15260 | C22 | semidirect |
| 128. C2×#15259 | C22 | semidirect |
| 129. C2×#15257 | C22 | semidirect |
| 130. C2×#15257 | C22 | semidirect |
| 131. C2×#15227 | C22 | semidirect |
| 132. C2×#15215 | C22 | semidirect |
| 133. C2×#15215 | C22 | semidirect |
| 134. C2×#15177 | C22 | semidirect |
| 135. C2×#15124 | C22 | semidirect |
| 136. C2×#15123 | C22 | semidirect |
| 137. C2×#15123 | C22 | semidirect |
| 138. C2×#14926 | C22 | semidirect |
| 139. C2×#14911 | C22 | semidirect |
| 140. C2×#14911 | C22 | semidirect |
| 141. C2×#14757 | C22 | semidirect |
| 142. C2×#14723 | C22 | semidirect |
| 143. C2×#14722 | C22 | semidirect |
| 144. C2×#14720 | C22 | semidirect |
| 145. C2×#14719 | C22 | semidirect |
| 146. C2×#14719 | C22 | semidirect |
| 147. C2×#14718 | C22 | semidirect |
| 148. C2×#14718 | C22 | semidirect |
| 149. C2×#14718 | C22 | semidirect |
| 150. C2×#14718 | C22 | semidirect |
| 151. C2×#14718 | C22 | semidirect |
| 152. C2×#14717 | C22 | semidirect |
| 153. C2×#14717 | C22 | semidirect |
| 154. C2×#14716 | C22 | semidirect |
| 155. C2×#14716 | C22 | semidirect |
| 156. C2×#14716 | C22 | semidirect |
| 157. C2×#14715 | C22 | semidirect |
| 158. C2×#14715 | C22 | semidirect |
| 159. C2×#14715 | C22 | semidirect |
| 160. C2×#14715 | C22 | semidirect |
| 161. C2×#14715 | C22 | semidirect |
| 162. C2×#14715 | C22 | semidirect |
| 163. C2×#14702 | C22 | semidirect |
| 164. C2×#14698 | C22 | semidirect |
| 165. C2×#14694 | C22 | semidirect |
| 166. C2×#14694 | C22 | semidirect |
| 167. C2×#14680 | C22 | semidirect |
| 168. C2×#14679 | C22 | semidirect |
| 169. D4×#379 | C22 | semidirect |
| 170. #518973 | C22 | semidirect |
| 171. D4×#386 | C22 | semidirect |
| 172. C4×#2403 | C22 | semidirect |
| 173. C2×#14171 | C22 | semidirect |
| 174. C2×#14139 | C22 | semidirect |
| 175. C2×#14137 | C22 | semidirect |
| 176. C2×#14134 | C22 | semidirect |
| 177. C2×#14134 | C22 | semidirect |
| 178. C2×#14127 | C22 | semidirect |
| 179. C2×#14127 | C22 | semidirect |
| 180. C2×#14127 | C22 | semidirect |
| 181. C2×#14027 | C22 | semidirect |
| 182. C2×#14025 | C22 | semidirect |
| 183. C2×#14023 | C22 | semidirect |
| 184. C2×#14023 | C22 | semidirect |
| 185. C2×#14015 | C22 | semidirect |
| 186. C2×#14015 | C22 | semidirect |
| 187. C2×#14015 | C22 | semidirect |
| 188. C2×#13970 | C22 | semidirect |
| 189. C2×#13970 | C22 | semidirect |
| 190. C2×#13968 | C22 | semidirect |
| 191. C2×#13967 | C22 | semidirect |
| 192. C2×#13967 | C22 | semidirect |
| 193. C2×#13967 | C22 | semidirect |
| 194. C2×#13967 | C22 | semidirect |
| 195. C2×#13902 | C22 | semidirect |
| 196. C2×#13902 | C22 | semidirect |
| 197. C2×#13902 | C22 | semidirect |
| 198. C2×#13872 | C22 | semidirect |
| 199. C2×#13872 | C22 | semidirect |
| 200. C2×#13869 | C22 | semidirect |
| 203. C2×#13867 | C22 | semidirect |
| 204. C2×#13867 | C22 | semidirect |
| 205. C2×#13867 | C22 | semidirect |
| 206. C2×#13867 | C22 | semidirect |
| 207. C2×#13867 | C22 | semidirect |
| 208. C2×#13867 | 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×#13867 | C22 | semidirect |
| 216. C2×#13867 | C22 | semidirect |
| 217. C2×#13867 | C22 | semidirect |
| 218. C2×#13867 | C22 | semidirect |
| 219. C2×C4×#392 | C22 | semidirect |
| 220. C22×#1438 | C22 | semidirect |
| 221. C2×D4×#95 | C22 | semidirect |
| 222. C2×C4×#379 | C22 | semidirect |
| 223. C2×C4×#386 | C22 | semidirect |
| 224. C2×C4×#386 | C22 | semidirect |
| 225. C22×C22⋊#95 | C22 | semidirect |
| 229. C24×#41 | C23 | semidirect |
| 230. C24×#41 | C23 | semidirect |
| 231. C24×#41 | C23 | semidirect |
| 232. C25×Q8 | C23 | semidirect |
| 233. C25×D4 | D4 | semidirect |
| 260. C25×D4 | C23 | semidirect |
| 261. C25×D4 | C23 | semidirect |
| 262. C25×D4 | C23 | semidirect |
| 266. C26×C4 | C23 | semidirect |
| 267. C26×C4 | C23 | semidirect |
| 268. C26×C4 | C23 | semidirect |
| 269. C22×#546 | D4 | semidirect |
| 271. C22×#546 | C23 | semidirect |
| 272. C22×#546 | C23 | semidirect |
| 273. C22×#546 | C23 | semidirect |
| 274. C22×#546 | C23 | semidirect |
| 275. C22×#546 | C23 | semidirect |
| 276. C22×#546 | C23 | semidirect |
| 277. C22×D42 | D4 | semidirect |
| 281. C22×D42 | C23 | semidirect |
| 282. C22×D42 | C23 | semidirect |
| 283. C22×D42 | C23 | semidirect |
| 287. C23×#127 | C23 | semidirect |
| 289. C23×#124 | C23 | semidirect |
| 290. C23×#124 | C23 | semidirect |
| 291. C23×#124 | C23 | semidirect |
| 292. C23×#124 | C23 | semidirect |
| 294. C23×#123 | C23 | semidirect |
| 295. C23×#123 | C23 | semidirect |
| 296. C23×#123 | C23 | semidirect |
| 297. C23×#123 | C23 | semidirect |
| 298. C23×#123 | C23 | semidirect |
| 301. C23×C22⋊Q8 | C23 | semidirect |
| 302. C23×C22⋊Q8 | C23 | semidirect |
| 303. C23×C22⋊Q8 | C23 | semidirect |
| 304. C23×C22⋊Q8 | C23 | semidirect |
| 319. C23×#121 | C23 | semidirect |
| 320. C23×#121 | C23 | semidirect |
| 321. C23×#121 | C23 | semidirect |
| 322. C23×#121 | C23 | semidirect |
| 323. C23×#121 | C23 | semidirect |
| 324. C23×#121 | C23 | semidirect |
| 325. C23×#121 | C23 | semidirect |
| 326. C23×#121 | C23 | semidirect |
| 327. C23×#121 | C23 | semidirect |
| 328. C23×#121 | C23 | semidirect |
| 329. C23×#121 | C23 | semidirect |
| 344. C23×#120 | C23 | semidirect |
| 345. C23×#120 | C23 | semidirect |
| 346. C23×#120 | C23 | semidirect |
| 347. C23×#120 | C23 | semidirect |
| 348. C23×#120 | C23 | semidirect |
| 349. C23×#120 | C23 | semidirect |
| 350. C23×#120 | C23 | semidirect |
| 363. C23×C4×D4 | C23 | semidirect |
| 364. C23×C4×D4 | C23 | semidirect |
| 365. C23×C4×D4 | C23 | semidirect |
| 366. C23×C4×D4 | C23 | semidirect |
| 367. C23×C4×D4 | C23 | semidirect |
| 368. C23×C4×D4 | C23 | semidirect |
| 369. C23×C4×D4 | C23 | semidirect |
| 370. C23×C4×D4 | C23 | semidirect |
| 373. C24×C4⋊C4 | C23 | semidirect |
| 374. C24×C4⋊C4 | C23 | semidirect |
| 375. C24×C4⋊C4 | C23 | semidirect |
| 386. C24×C22⋊C4 | C23 | semidirect |
| 387. C24×C22⋊C4 | C23 | semidirect |
| 388. C24×C22⋊C4 | C23 | semidirect |
| 389. C24×C22⋊C4 | C23 | semidirect |
| 390. C24×C22⋊C4 | C23 | semidirect |
| 391. C24×C22⋊C4 | C23 | semidirect |
| 392. C24×C22⋊C4 | C23 | semidirect |
| 393. C24×C22⋊C4 | C23 | semidirect |
| 394. C24×C22⋊C4 | C23 | semidirect |
| 395. C24×C22⋊C4 | C23 | semidirect |
| 396. C24×C22⋊C4 | C23 | semidirect |
| 397. C24×C22⋊C4 | C23 | semidirect |
| 399. C24×C42 | C23 | semidirect |
| 400. C2×#2849 | C23 | semidirect |
| 401. C2×#2848 | C23 | semidirect |
| 402. C2×#2847 | C23 | semidirect |
| 403. C2×#2846 | C23 | semidirect |
| 404. C2×#2430 | C23 | semidirect |
| 405. C2×#2404 | C23 | semidirect |
| 406. C2×#2431 | C23 | semidirect |
| 407. C2×#2407 | C23 | semidirect |
| 408. C2×#2436 | C23 | semidirect |
| 409. C2×#2435 | C23 | semidirect |
| 410. C2×#2435 | C23 | semidirect |
| 411. C2×#2409 | C23 | semidirect |
| 412. C2×#2408 | C23 | semidirect |
| 413. C2×#2408 | C23 | semidirect |
| 414. C2×#2405 | C23 | semidirect |
| 415. C2×#2405 | C23 | semidirect |
| 416. C2×#2410 | C23 | semidirect |
| 417. C2×#2410 | C23 | semidirect |
| 418. C2×#2410 | C23 | semidirect |
| 420. C2×#2403 | C23 | semidirect |
| 421. C2×#2403 | C23 | semidirect |
| 422. C2×#2403 | C23 | semidirect |
| 423. C22×#395 | C23 | semidirect |
| 424. C22×#394 | C23 | semidirect |
| 425. C22×#394 | C23 | semidirect |
| 426. C22×#394 | C23 | semidirect |
| 427. C22×#394 | C23 | semidirect |
| 428. C22×#394 | C23 | semidirect |
| 429. C22×#394 | C23 | semidirect |
| 430. C22×#393 | C23 | semidirect |
| 431. C22×#393 | C23 | semidirect |
| 433. C22×#392 | C23 | semidirect |
| 434. C22×#392 | C23 | semidirect |
| 435. C22×#392 | C23 | semidirect |
| 436. C22×#392 | C23 | semidirect |
| 437. C22×#392 | C23 | semidirect |
| 438. C22×#392 | C23 | semidirect |
| 439. C22×#392 | C23 | semidirect |
| 440. C22×#392 | C23 | semidirect |
| 441. C22×#392 | C23 | semidirect |
| 442. C2×#2339 | C23 | semidirect |
| 443. C2×D4×C22⋊C4 | C23 | semidirect |
| 444. C2×D4×C22⋊C4 | C23 | semidirect |
| 445. C2×D4×C22⋊C4 | C23 | semidirect |
| 446. C2×D4×C22⋊C4 | C23 | semidirect |
| 447. C2×C4×#120 | C23 | semidirect |
| 448. C2×C4×#120 | C23 | semidirect |
| 449. C22×#391 | C23 | semidirect |
| 450. C22×#391 | C23 | semidirect |
| 452. C22×#390 | C23 | semidirect |
| 453. C22×#390 | C23 | semidirect |
| 454. C22×#390 | C23 | semidirect |
| 455. C22×#390 | 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 |
| 476. C22×#386 | C23 | semidirect |
| 477. C22×#386 | C23 | semidirect |
| 478. C22×#386 | C23 | semidirect |
| 479. C22×#386 | C23 | semidirect |
| 480. C22×#386 | C23 | semidirect |
| 481. C22×#386 | C23 | semidirect |
| 482. C22×#386 | C23 | semidirect |
| 483. C22×#386 | C23 | semidirect |
| 484. C22×#386 | C23 | semidirect |
| 485. C22×#386 | C23 | semidirect |
| 486. C22×#386 | C23 | semidirect |
| 487. C22×#386 | C23 | semidirect |
| 488. C22×#386 | C23 | semidirect |
| 489. C22×#386 | C23 | semidirect |
| 490. C22×#386 | C23 | semidirect |
| 493. C22×#385 | C23 | semidirect |
| 494. C22×#385 | C23 | semidirect |
| 495. C22×#385 | C23 | semidirect |
| 496. C22×#385 | C23 | semidirect |
| 497. C22×#385 | C23 | semidirect |
| 498. C22×#385 | C23 | semidirect |
| 499. C22×#381 | C23 | semidirect |
| 501. C22×#380 | C23 | semidirect |
| 502. C22×#380 | C23 | semidirect |
| 503. C22×#380 | C23 | semidirect |
| 504. C22×#380 | 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×#379 | C23 | semidirect |
| 526. C22×#379 | C23 | semidirect |
| 527. C22×#379 | C23 | semidirect |
| 528. C22×#379 | C23 | semidirect |
| 530. C22×C4×C22⋊C4 | C23 | semidirect |
| 531. C22×C4×C22⋊C4 | C23 | semidirect |
| 532. C22×C4×C22⋊C4 | C23 | semidirect |
| 533. C22×C4×C22⋊C4 | C23 | semidirect |
| 534. C23×#95 | C23 | semidirect |
| 535. C23×#95 | C23 | semidirect |
| 536. #16253 | C23 | semidirect |
| 537. #16249 | C23 | semidirect |
| 538. #15950 | C23 | semidirect |
| 539. #15948 | C23 | semidirect |
| 540. #15673 | C23 | semidirect |
| 541. #15310 | C23 | semidirect |
| 542. #15278 | C23 | semidirect |
| 543. #15263 | C23 | semidirect |
| 544. #15263 | C23 | semidirect |
| 545. #15261 | C23 | semidirect |
| 546. #15260 | C23 | semidirect |
| 547. #15259 | C23 | semidirect |
| 548. #15257 | C23 | semidirect |
| 549. #15257 | C23 | semidirect |
| 550. #15227 | C23 | semidirect |
| 551. #15215 | C23 | semidirect |
| 552. #15215 | C23 | semidirect |
| 553. #15177 | C23 | semidirect |
| 554. #15124 | C23 | semidirect |
| 555. #15123 | C23 | semidirect |
| 556. #15123 | C23 | semidirect |
| 557. #14926 | C23 | semidirect |
| 558. #14911 | C23 | semidirect |
| 559. #14911 | C23 | semidirect |
| 560. #14757 | C23 | semidirect |
| 561. #14723 | C23 | semidirect |
| 562. #14722 | C23 | semidirect |
| 563. #14720 | C23 | semidirect |
| 564. #14719 | C23 | semidirect |
| 565. #14719 | C23 | semidirect |
| 566. #14718 | C23 | semidirect |
| 567. #14718 | C23 | semidirect |
| 568. #14718 | C23 | semidirect |
| 569. #14718 | C23 | semidirect |
| 570. #14718 | C23 | semidirect |
| 571. #14717 | C23 | semidirect |
| 572. #14717 | C23 | semidirect |
| 573. #14716 | C23 | semidirect |
| 574. #14716 | C23 | semidirect |
| 575. #14716 | 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. #14702 | C23 | semidirect |
| 583. #14698 | C23 | semidirect |
| 584. #14694 | C23 | semidirect |
| 585. #14694 | C23 | semidirect |
| 586. #14680 | C23 | semidirect |
| 587. #14679 | C23 | semidirect |
| 588. #14171 | C23 | semidirect |
| 589. #14139 | C23 | semidirect |
| 590. #14137 | C23 | semidirect |
| 591. #14134 | C23 | semidirect |
| 592. #14134 | C23 | semidirect |
| 593. #14127 | C23 | semidirect |
| 594. #14127 | C23 | semidirect |
| 595. #14127 | C23 | semidirect |
| 596. #14027 | C23 | semidirect |
| 597. #14025 | C23 | semidirect |
| 598. #14023 | C23 | semidirect |
| 599. #14023 | C23 | semidirect |
| 600. #14015 | C23 | semidirect |
| 601. #14015 | C23 | semidirect |
| 602. #14015 | C23 | semidirect |
| 603. #13970 | C23 | semidirect |
| 604. #13970 | C23 | semidirect |
| 605. #13968 | C23 | semidirect |
| 606. #13967 | C23 | semidirect |
| 607. #13967 | C23 | semidirect |
| 608. #13967 | C23 | semidirect |
| 609. #13967 | C23 | semidirect |
| 610. #13902 | C23 | semidirect |
| 611. #13902 | C23 | semidirect |
| 612. #13902 | C23 | semidirect |
| 613. #13872 | C23 | semidirect |
| 614. #13872 | C23 | semidirect |
| 615. #13869 | C23 | semidirect |
| 618. #13867 | C23 | semidirect |
| 619. #13867 | C23 | semidirect |
| 620. #13867 | C23 | semidirect |
| 621. #13867 | C23 | semidirect |
| 622. #13867 | C23 | semidirect |
| 623. #13867 | C23 | semidirect |
| 624. #13867 | C23 | semidirect |
| 625. #13867 | C23 | semidirect |
| 626. #13867 | C23 | semidirect |
| 627. #13867 | C23 | semidirect |
| 628. #13867 | C23 | semidirect |
| 629. #13867 | C23 | semidirect |
| 630. #13867 | C23 | semidirect |
| 631. #13867 | C23 | semidirect |
| 632. #13867 | C23 | semidirect |
| 633. C4×#392 | C23 | semidirect |
| 634. C2×#1444 | C23 | semidirect |
| 635. C2×#1444 | C23 | semidirect |
| 636. C2×#1441 | C23 | semidirect |
| 637. C2×#1441 | C23 | semidirect |
| 638. C2×#1441 | C23 | semidirect |
| 639. C2×#1440 | C23 | semidirect |
| 640. C2×#1440 | C23 | semidirect |
| 641. C2×#1440 | C23 | semidirect |
| 642. C2×#1440 | C23 | semidirect |
| 643. C2×#1439 | C23 | semidirect |
| 644. C2×#1439 | C23 | semidirect |
| 645. C2×#1439 | C23 | semidirect |
| 646. C2×#1439 | C23 | semidirect |
| 647. C2×#1439 | C23 | semidirect |
| 648. C2×#1439 | C23 | semidirect |
| 649. C2×#1439 | C23 | semidirect |
| 650. C2×#1439 | C23 | semidirect |
| 651. C2×#1439 | C23 | semidirect |
| 652. C2×#1439 | C23 | semidirect |
| 653. C2×#1439 | C23 | semidirect |
| 654. C2×#1439 | C23 | semidirect |
| 655. C2×#1439 | C23 | semidirect |
| 656. C2×#1439 | 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. C2×#1438 | C23 | semidirect |
| 670. C2×#1438 | C23 | semidirect |
| 671. C2×#1438 | C23 | semidirect |
| 672. C2×#1438 | C23 | semidirect |
| 673. C2×#1438 | C23 | semidirect |
| 674. C2×#1438 | C23 | semidirect |
| 675. C2×#1438 | C23 | semidirect |
| 676. C2×#1438 | C23 | semidirect |
| 677. C2×#1438 | C23 | semidirect |
| 678. C2×#1438 | C23 | semidirect |
| 679. C2×#1438 | C23 | semidirect |
| 680. C2×#1438 | C23 | semidirect |
| 681. C2×#1438 | C23 | semidirect |
| 682. C2×#1438 | C23 | semidirect |
| 683. D4×#95 | C23 | semidirect |
| 684. C4×#379 | C23 | semidirect |
| 685. C4×#386 | C23 | semidirect |
| 686. C4×#386 | C23 | semidirect |
| 687. C2×#1437 | C23 | semidirect |
| 688. C2×#1437 | C23 | semidirect |
| 689. C2×#1437 | C23 | semidirect |
| 690. C2×#1436 | C23 | semidirect |
| 691. C2×#1436 | C23 | semidirect |
| 692. C2×#1436 | C23 | semidirect |
| 693. C2×C4⋊#95 | C23 | semidirect |
| 694. C2×C4⋊#95 | C23 | semidirect |
| 695. C2×C4⋊#95 | C23 | semidirect |
| 705. C2×C22⋊#95 | C23 | semidirect |
| 706. C2×C22⋊#95 | C23 | semidirect |
| 707. C2×C22⋊#95 | C23 | semidirect |
| 708. C2×C22⋊#95 | C23 | semidirect |
| 709. C2×C22⋊#95 | C23 | semidirect |
| 710. C2×C22⋊#95 | C23 | semidirect |
| 711. C2×C22⋊#95 | C23 | semidirect |
| 712. C2×C22⋊#95 | C23 | semidirect |
| 713. C2×C22⋊#95 | C23 | semidirect |
| 714. C2×C22⋊#95 | C23 | semidirect |
| 715. C2×C22⋊#95 | C23 | semidirect |
| 716. C2×C22⋊#95 | C23 | semidirect |
| 717. C2×C22⋊#95 | C23 | semidirect |
| 718. C2×C22⋊#95 | C23 | semidirect |
| 719. C2×C22⋊#95 | C23 | semidirect |
| 720. C2×C4×#95 | C23 | semidirect |
| 736. C23×#41 | C2×D4 | semidirect |
| 738. C23×#41 | C24 | semidirect |
| 739. C23×#41 | C24 | semidirect |
| 742. C24×Q8 | C24 | semidirect |
| 755. C24×D4 | C2×D4 | semidirect |
| 756. C24×D4 | C2×D4 | semidirect |
| 757. C24×D4 | #41 | semidirect |
| 814. C24×D4 | C24 | semidirect |
| 815. C24×D4 | C24 | semidirect |
| 846. C25×C4 | C24 | semidirect |
| 847. C25×C4 | C24 | semidirect |
| 848. C25×C4 | C24 | semidirect |
| 849. C2×#546 | C2×D4 | semidirect |
| 850. C2×D42 | C2×D4 | semidirect |
| 851. C22×#127 | C2×D4 | semidirect |
| 855. C22×#124 | C2×D4 | semidirect |
| 857. C22×#124 | C24 | semidirect |
| 858. C22×#124 | C24 | semidirect |
| 859. C22×#124 | C24 | semidirect |
| 860. C22×#123 | C2×D4 | semidirect |
| 862. C22×#123 | C24 | semidirect |
| 863. C22×#123 | C24 | semidirect |
| 864. C22×#123 | C24 | semidirect |
| 865. C22×#123 | C24 | semidirect |
| 866. C22×C22⋊Q8 | C2×D4 | semidirect |
| 869. C22×C22⋊Q8 | C24 | semidirect |
| 870. C22×C22⋊Q8 | C24 | semidirect |
| 871. C22×C22⋊Q8 | C24 | semidirect |
| 873. C22×#121 | C2×D4 | semidirect |
| 874. C22×#121 | C2×D4 | semidirect |
| 875. C22×#121 | C2×D4 | semidirect |
| 876. C22×#121 | C2×D4 | semidirect |
| 890. C22×#121 | C24 | semidirect |
| 891. C22×#121 | C24 | semidirect |
| 892. C22×#121 | C24 | semidirect |
| 893. C22×#121 | C24 | semidirect |
| 894. C22×#121 | C24 | semidirect |
| 895. C22×#121 | C24 | semidirect |
| 896. C22×#121 | C24 | semidirect |
| 898. C22×#120 | C2×D4 | semidirect |
| 899. C22×#120 | C2×D4 | semidirect |
| 913. C22×#120 | C24 | semidirect |
| 914. C22×#120 | C24 | semidirect |
| 915. C22×#120 | C24 | semidirect |
| 916. C22×#120 | C24 | semidirect |
| 917. C22×#120 | C24 | semidirect |
| 919. C22×C4×D4 | C2×D4 | semidirect |
| 920. C22×C4×D4 | C2×D4 | semidirect |
| 921. C22×C4×D4 | C2×D4 | semidirect |
| 933. C22×C4×D4 | C24 | semidirect |
| 934. C22×C4×D4 | C24 | semidirect |
| 935. C22×C4×D4 | C24 | semidirect |
| 936. C22×C4×D4 | C24 | semidirect |
| 937. C22×C4×D4 | C24 | semidirect |
| 953. C23×C4⋊C4 | C24 | semidirect |
| 954. C23×C4⋊C4 | C24 | semidirect |
| 955. C23×C4⋊C4 | C24 | semidirect |
| 956. C23×C22⋊C4 | C2×D4 | semidirect |
| 1023. C23×C22⋊C4 | C24 | semidirect |
| 1024. C23×C22⋊C4 | C24 | semidirect |
| 1025. C23×C22⋊C4 | C24 | semidirect |
| 1026. C23×C22⋊C4 | C24 | semidirect |
| 1027. C23×C22⋊C4 | C24 | semidirect |
| 1028. C23×C22⋊C4 | C24 | semidirect |
| 1029. C23×C22⋊C4 | C24 | semidirect |
| 1030. C23×C22⋊C4 | C24 | semidirect |
| 1031. C23×C22⋊C4 | C24 | semidirect |
| 1032. C23×C22⋊C4 | C24 | semidirect |
| 1033. C23×C22⋊C4 | C24 | semidirect |
| 1040. C23×C42 | C24 | semidirect |
| 1041. C2×#395 | C24 | semidirect |
| 1042. C2×#394 | C24 | semidirect |
| 1043. C2×#394 | C24 | semidirect |
| 1044. C2×#394 | C24 | semidirect |
| 1045. C2×#394 | C24 | semidirect |
| 1046. C2×#394 | C24 | semidirect |
| 1047. C2×#394 | C24 | semidirect |
| 1048. C2×#393 | C24 | semidirect |
| 1049. C2×#393 | C24 | semidirect |
| 1051. C2×#392 | C24 | semidirect |
| 1052. C2×#392 | C24 | semidirect |
| 1053. C2×#392 | C24 | semidirect |
| 1054. C2×#392 | C24 | semidirect |
| 1055. C2×#392 | C24 | semidirect |
| 1056. C2×#392 | C24 | semidirect |
| 1057. C2×#392 | C24 | semidirect |
| 1058. C2×#392 | C24 | semidirect |
| 1059. C2×#392 | C24 | semidirect |
| 1060. C2×#391 | C24 | semidirect |
| 1061. C2×#391 | C24 | semidirect |
| 1063. C2×#390 | C24 | semidirect |
| 1064. C2×#390 | C24 | semidirect |
| 1065. C2×#390 | C24 | semidirect |
| 1066. C2×#390 | C24 | semidirect |
| 1077. C2×#386 | C24 | semidirect |
| 1078. C2×#386 | C24 | semidirect |
| 1079. C2×#386 | C24 | semidirect |
| 1080. C2×#386 | C24 | semidirect |
| 1081. C2×#386 | C24 | semidirect |
| 1082. C2×#386 | C24 | semidirect |
| 1083. C2×#386 | C24 | semidirect |
| 1084. C2×#386 | C24 | semidirect |
| 1085. C2×#386 | C24 | semidirect |
| 1086. C2×#386 | C24 | semidirect |
| 1087. C2×#386 | C24 | semidirect |
| 1088. C2×#386 | C24 | semidirect |
| 1089. C2×#386 | C24 | semidirect |
| 1090. C2×#386 | C24 | semidirect |
| 1091. C2×#386 | C24 | semidirect |
| 1092. C2×#386 | C24 | semidirect |
| 1093. C2×#386 | C24 | semidirect |
| 1094. C2×#386 | C24 | semidirect |
| 1095. C2×#386 | C24 | semidirect |
| 1096. C2×#386 | C24 | semidirect |
| 1097. C2×#386 | C24 | semidirect |
| 1098. C2×#386 | C24 | semidirect |
| 1099. C2×#386 | C24 | semidirect |
| 1102. C2×#385 | C24 | semidirect |
| 1103. C2×#385 | C24 | semidirect |
| 1104. C2×#385 | C24 | semidirect |
| 1105. C2×#385 | C24 | semidirect |
| 1106. C2×#385 | C24 | semidirect |
| 1107. C2×#385 | C24 | semidirect |
| 1108. C2×#381 | C24 | semidirect |
| 1110. C2×#380 | C24 | semidirect |
| 1111. C2×#380 | C24 | semidirect |
| 1112. C2×#380 | C24 | semidirect |
| 1113. C2×#380 | C24 | semidirect |
| 1125. C2×#379 | C24 | semidirect |
| 1126. C2×#379 | C24 | semidirect |
| 1127. C2×#379 | C24 | semidirect |
| 1128. C2×#379 | C24 | semidirect |
| 1129. C2×#379 | C24 | semidirect |
| 1130. C2×#379 | C24 | semidirect |
| 1131. C2×#379 | C24 | semidirect |
| 1132. C2×#379 | C24 | semidirect |
| 1133. C2×#379 | C24 | semidirect |
| 1134. C2×#379 | C24 | semidirect |
| 1135. C2×#379 | C24 | semidirect |
| 1137. C2×C4×C22⋊C4 | C24 | semidirect |
| 1138. C2×C4×C22⋊C4 | C24 | semidirect |
| 1139. C2×C4×C22⋊C4 | C24 | semidirect |
| 1140. C2×C4×C22⋊C4 | C24 | semidirect |
| 1167. C22×#95 | C24 | semidirect |
| 1168. C22×#95 | C24 | semidirect |
| 1169. #1444 | C24 | semidirect |
| 1170. #1444 | C24 | semidirect |
| 1171. #1441 | C24 | semidirect |
| 1172. #1441 | C24 | semidirect |
| 1173. #1441 | C24 | semidirect |
| 1174. #1440 | C24 | semidirect |
| 1175. #1440 | C24 | semidirect |
| 1176. #1440 | C24 | semidirect |
| 1177. #1440 | C24 | semidirect |
| 1178. #1439 | C24 | semidirect |
| 1179. #1439 | C24 | semidirect |
| 1180. #1439 | C24 | semidirect |
| 1181. #1439 | C24 | semidirect |
| 1182. #1439 | C24 | semidirect |
| 1183. #1439 | C24 | semidirect |
| 1184. #1439 | C24 | semidirect |
| 1185. #1439 | C24 | semidirect |
| 1186. #1439 | C24 | semidirect |
| 1187. #1439 | C24 | semidirect |
| 1188. #1439 | C24 | semidirect |
| 1189. #1439 | C24 | semidirect |
| 1190. #1439 | C24 | semidirect |
| 1191. #1439 | C24 | semidirect |
| 1194. #1438 | C24 | semidirect |
| 1195. #1438 | C24 | semidirect |
| 1196. #1438 | C24 | semidirect |
| 1197. #1438 | C24 | semidirect |
| 1198. #1438 | C24 | semidirect |
| 1199. #1438 | C24 | semidirect |
| 1200. #1438 | C24 | semidirect |
| 1201. #1438 | C24 | semidirect |
| 1202. #1438 | C24 | semidirect |
| 1203. #1438 | C24 | semidirect |
| 1204. #1438 | C24 | semidirect |
| 1205. #1438 | C24 | semidirect |
| 1206. #1438 | C24 | semidirect |
| 1207. #1438 | C24 | semidirect |
| 1208. #1438 | C24 | semidirect |
| 1209. #1438 | C24 | semidirect |
| 1210. #1438 | C24 | semidirect |
| 1211. #1438 | C24 | semidirect |
| 1212. #1438 | C24 | semidirect |
| 1213. #1438 | C24 | semidirect |
| 1214. #1438 | C24 | semidirect |
| 1215. #1438 | C24 | semidirect |
| 1216. #1438 | C24 | semidirect |
| 1217. #1437 | C24 | semidirect |
| 1218. #1437 | C24 | semidirect |
| 1219. #1437 | C24 | semidirect |
| 1220. #1436 | C24 | semidirect |
| 1221. #1436 | C24 | semidirect |
| 1222. #1436 | C24 | semidirect |
| 1223. C4⋊#95 | C24 | semidirect |
| 1224. C4⋊#95 | C24 | semidirect |
| 1225. C4⋊#95 | C24 | semidirect |
| 1235. C22⋊#95 | C24 | semidirect |
| 1236. C22⋊#95 | C24 | semidirect |
| 1237. C22⋊#95 | C24 | semidirect |
| 1238. C22⋊#95 | C24 | semidirect |
| 1239. C22⋊#95 | C24 | semidirect |
| 1240. C22⋊#95 | C24 | semidirect |
| 1241. C22⋊#95 | C24 | semidirect |
| 1242. C22⋊#95 | C24 | semidirect |
| 1243. C22⋊#95 | C24 | semidirect |
| 1244. C22⋊#95 | C24 | semidirect |
| 1245. C22⋊#95 | C24 | semidirect |
| 1246. C22⋊#95 | C24 | semidirect |
| 1247. C22⋊#95 | C24 | semidirect |
| 1248. C22⋊#95 | C24 | semidirect |
| 1249. C4×#95 | C24 | semidirect |
| 1262. C26 | C2×#41 | semidirect |
| 1286. C22×#41 | C22×D4 | semidirect |
| 1287. C23×Q8 | C22×D4 | semidirect |
| 1290. C23×D4 | #120 | semidirect |
| 1291. C23×D4 | #120 | semidirect |
| 1328. C23×D4 | C22×D4 | semidirect |
| 1329. C23×D4 | C22×D4 | semidirect |
| 1330. C23×D4 | C22×D4 | semidirect |
| 1332. C23×D4 | C2×#41 | semidirect |
| 1333. C23×D4 | C2×#41 | semidirect |
| 1379. C24×C4 | C22×D4 | semidirect |
| 1380. C24×C4 | C22×D4 | semidirect |
| 1381. C24×C4 | C22×D4 | semidirect |
| 1382. C24×C4 | C2×#41 | semidirect |
| 1425. C2×#127 | C22×D4 | semidirect |
| 1426. C2×#124 | C22×D4 | semidirect |
| 1427. C2×#123 | C22×D4 | semidirect |
| 1428. C2×C22⋊Q8 | C22×D4 | semidirect |
| 1430. C2×#121 | C22×D4 | semidirect |
| 1431. C2×#121 | C22×D4 | semidirect |
| 1432. C2×#121 | C22×D4 | semidirect |
| 1433. C2×#121 | C22×D4 | semidirect |
| 1435. C2×#120 | C22×D4 | semidirect |
| 1436. C2×#120 | C22×D4 | semidirect |
| 1438. C2×C4×D4 | C22×D4 | semidirect |
| 1439. C2×C4×D4 | C22×D4 | semidirect |
| 1440. C2×C4×D4 | C22×D4 | semidirect |
| 1443. C22×C4⋊C4 | C22×D4 | semidirect |
| 1444. C22×C4⋊C4 | C22×D4 | semidirect |
| 1445. C22×C4⋊C4 | C22×D4 | semidirect |
| 1466. C22×C22⋊C4 | C22×D4 | semidirect |
| 1467. C22×C22⋊C4 | C22×D4 | semidirect |
| 1468. C22×C22⋊C4 | C22×D4 | semidirect |
| 1469. C22×C22⋊C4 | C22×D4 | semidirect |
| 1470. C22×C22⋊C4 | C22×D4 | semidirect |
| 1471. C22×C22⋊C4 | C22×D4 | semidirect |
| 1529. C22×C42 | C22×D4 | semidirect |
| 1563. C25 | #546 | semidirect |
| 1595. C25 | C22×#41 | semidirect |
| 1615. C22×Q8 | C23×D4 | semidirect |
| 1622. C22×D4 | C2×#120 | semidirect |
| 1623. C22×D4 | C2×#120 | semidirect |
| 1626. C22×D4 | #546 | semidirect |
| 1651. C22×D4 | C23×D4 | semidirect |
| 1652. C22×D4 | C23×D4 | semidirect |
| 1654. C22×D4 | C22×#41 | semidirect |
| 1686. C23×C4 | C23×D4 | semidirect |
| 1687. C23×C4 | C23×D4 | semidirect |
| 1688. C23×C4 | C23×D4 | semidirect |
| 1690. C23×C4 | C22×#41 | semidirect |
| 1711. C2×C4⋊C4 | C23×D4 | semidirect |
| 1712. C2×C4⋊C4 | C23×D4 | semidirect |
| 1713. C2×C4⋊C4 | C23×D4 | semidirect |
| 1721. C2×C22⋊C4 | C23×D4 | semidirect |
| 1722. C2×C22⋊C4 | C23×D4 | semidirect |
| 1723. C2×C22⋊C4 | C23×D4 | semidirect |
| 1724. C2×C22⋊C4 | C23×D4 | semidirect |
| 1725. C2×C22⋊C4 | C23×D4 | semidirect |
| 1727. C2×C42 | C23×D4 | semidirect |
| 1742. C24 | C2×#546 | semidirect |
| 1743. C24 | C2×#546 | semidirect |
| 1786. C2×D4 | #2403 | semidirect |
| 1795. C2×D4 | C2×#546 | semidirect |
| 1804. C22×C4 | C2×#546 | semidirect |
| 1826. C23 | #36152 | semidirect |
| 1827. C23 | #36212 | semidirect |
| 1846. C23 | C22×#546 | semidirect |
| 1872. D4 | C2×#2403 | semidirect |
| 1880. C2×C4 | C22×#546 | semidirect |
| 1884. C22 | C2×#36152 | semidirect |
| 1886. C22 | C2×#36212 | semidirect |
| 1917. C2 | #72256588 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.