Order 1536.
At least 6074 conjugacy classes of subgroups; only the 3657 normal subgroups are shown.
The subgroup lattice has 1793 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, Frattini | C23 | C25×D3 |
| commutator, socle, cosocle | C23×C3 | C26 |
| Fitting | C3×#34980 | C2 |
| hypercenter | #34980 | D3 |
| hypocenter | C3 | #7792761 |
| LCS | G ▷ C23×C3 ▷ C3 | |
| UCS | C1 ◁ C23 ◁ #34980 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#87239 | C2 | semidirect |
| 2. C2×#86310 | C2 | semidirect |
| 3. #11632807 | C2 | semidirect |
| 4. #11632791 | C2 | semidirect |
| 5. #11428344 | C2 | semidirect |
| 6. #11427641 | C2 | semidirect |
| 7. #11400014 | C2 | semidirect |
| 8. #11394099 | C2 | semidirect |
| 9. #11304979 | C2 | semidirect |
| 10. #11304731 | C2 | semidirect |
| 11. #11301899 | C2 | semidirect |
| 12. #11301743 | C2 | semidirect |
| 13. #11233664 | C2 | semidirect |
| 14. #11223266 | C2 | semidirect |
| 15. #11203918 | C2 | semidirect |
| 16. #11203825 | C2 | semidirect |
| 17. #11170481 | C2 | semidirect |
| 18. #11169873 | C2 | semidirect |
| 19. #11167374 | C2 | semidirect |
| 20. #11167082 | C2 | semidirect |
| 21. #11166977 | C2 | semidirect |
| 22. #11166958 | C2 | semidirect |
| 23. #11070659 | C2 | semidirect |
| 24. #11042676 | C2 | semidirect |
| 25. #11042614 | C2 | semidirect |
| 26. #11024182 | C2 | semidirect |
| 27. #11023807 | C2 | semidirect |
| 28. #11002553 | C2 | semidirect |
| 29. #11001922 | C2 | semidirect |
| 30. #10990485 | C2 | semidirect |
| 31. #10981324 | C2 | semidirect |
| 32. #10981249 | C2 | semidirect |
| 33. C2×#84052 | C2 | semidirect |
| 34. #10958535 | C2 | semidirect |
| 35. C3×#34980 | C2 | semidirect |
| 36. C24×C3×D4 | C22 | semidirect |
| 37. C24×#67 | C22 | semidirect |
| 38. C22×#1004 | C22 | semidirect |
| 39. C2×C3×#534 | C22 | semidirect |
| 40. C2×C3×#534 | C22 | semidirect |
| 41. C22×C3×#120 | C22 | semidirect |
| 42. C22×#953 | C22 | semidirect |
| 43. C22×#953 | C22 | semidirect |
| 44. C22×#953 | C22 | semidirect |
| 45. C2×D4×#67 | C22 | semidirect |
| 46. C2×D4×#67 | C22 | semidirect |
| 47. C2×D4×#67 | C22 | semidirect |
| 48. C2×D4×#67 | C22 | semidirect |
| 49. C2×D4×#67 | C22 | semidirect |
| 50. C2×D4×#67 | C22 | semidirect |
| 52. C2×#5805 | C22 | semidirect |
| 53. C2×#5804 | C22 | semidirect |
| 54. C2×#5804 | C22 | semidirect |
| 55. C22×#937 | C22 | semidirect |
| 56. C22×#937 | C22 | semidirect |
| 57. C2×#5806 | C22 | semidirect |
| 58. C2×#5806 | C22 | semidirect |
| 59. C2×#5806 | C22 | semidirect |
| 60. C2×#5806 | C22 | semidirect |
| 61. C2×#5798 | C22 | semidirect |
| 62. C2×#5791 | C22 | semidirect |
| 63. C2×#5791 | C22 | semidirect |
| 64. C2×#5666 | C22 | semidirect |
| 65. C2×#5659 | C22 | semidirect |
| 66. C2×#5658 | C22 | semidirect |
| 67. C2×#5654 | C22 | semidirect |
| 68. C2×#5657 | C22 | semidirect |
| 69. C2×#5620 | C22 | semidirect |
| 70. C2×#5612 | C22 | semidirect |
| 71. C2×#5613 | C22 | semidirect |
| 72. C2×#5607 | C22 | semidirect |
| 73. C2×#5590 | C22 | semidirect |
| 74. C2×#5590 | C22 | semidirect |
| 75. C2×#5590 | C22 | semidirect |
| 76. C2×#5590 | C22 | semidirect |
| 77. C2×#5590 | C22 | semidirect |
| 78. C2×#5589 | C22 | semidirect |
| 79. C2×D3×#120 | C22 | semidirect |
| 80. C2×#5594 | C22 | semidirect |
| 81. C2×#5593 | C22 | semidirect |
| 82. C2×#5490 | C22 | semidirect |
| 83. C2×#5490 | C22 | semidirect |
| 84. C3×#2849 | C22 | semidirect |
| 85. C3×#2846 | C22 | semidirect |
| 86. C3×#2613 | C22 | semidirect |
| 87. C3×#2613 | C22 | semidirect |
| 88. C3×#2410 | C22 | semidirect |
| 89. C3×#2410 | C22 | semidirect |
| 90. C3×#2410 | C22 | semidirect |
| 91. C3×#2410 | C22 | semidirect |
| 92. C3×#2405 | C22 | semidirect |
| 93. C3×#2405 | C22 | semidirect |
| 94. C3×#2403 | C22 | semidirect |
| 95. C3×#2403 | C22 | semidirect |
| 96. C3×#2308 | C22 | semidirect |
| 97. C3×#2308 | C22 | semidirect |
| 98. C2×C3×#379 | C22 | semidirect |
| 99. C2×#5247 | C22 | semidirect |
| 100. #84052 | C22 | semidirect |
| 101. #84052 | C22 | semidirect |
| 102. #84052 | C22 | semidirect |
| 103. #84052 | C22 | semidirect |
| 104. #84052 | C22 | semidirect |
| 105. #84052 | C22 | semidirect |
| 106. #84052 | C22 | semidirect |
| 107. #84052 | C22 | semidirect |
| 108. #84052 | C22 | semidirect |
| 109. C2×#5223 | C22 | semidirect |
| 110. C2×#5223 | C22 | semidirect |
| 111. #84049 | C22 | semidirect |
| 112. #84048 | C22 | semidirect |
| 113. #84048 | C22 | semidirect |
| 114. C2×#5220 | C22 | semidirect |
| 115. C2×#5220 | C22 | semidirect |
| 116. C2×#5213 | C22 | semidirect |
| 117. #82910 | C22 | semidirect |
| 118. #82907 | C22 | semidirect |
| 119. #82905 | C22 | semidirect |
| 120. #82901 | C22 | semidirect |
| 121. #82898 | C22 | semidirect |
| 122. #82893 | C22 | semidirect |
| 123. #82886 | C22 | semidirect |
| 124. #82884 | C22 | semidirect |
| 125. #82858 | C22 | semidirect |
| 126. #82853 | C22 | semidirect |
| 127. #82848 | C22 | semidirect |
| 128. #82847 | C22 | semidirect |
| 129. #82846 | C22 | semidirect |
| 130. #82718 | C22 | semidirect |
| 131. #82715 | C22 | semidirect |
| 132. #82714 | C22 | semidirect |
| 133. #82713 | C22 | semidirect |
| 134. #82688 | C22 | semidirect |
| 135. #82687 | C22 | semidirect |
| 136. #82683 | C22 | semidirect |
| 137. #82681 | C22 | semidirect |
| 138. #82658 | C22 | semidirect |
| 139. #82650 | C22 | semidirect |
| 140. #82649 | C22 | semidirect |
| 141. #82640 | C22 | semidirect |
| 142. #82610 | C22 | semidirect |
| 143. #82609 | C22 | semidirect |
| 144. #82609 | C22 | semidirect |
| 145. #82608 | C22 | semidirect |
| 146. #82608 | C22 | semidirect |
| 147. #82606 | C22 | semidirect |
| 148. #82606 | C22 | semidirect |
| 149. #82606 | C22 | semidirect |
| 150. #82606 | C22 | semidirect |
| 151. #82606 | C22 | semidirect |
| 152. #82606 | C22 | semidirect |
| 153. #82605 | C22 | semidirect |
| 154. #82604 | C22 | semidirect |
| 155. #82604 | C22 | semidirect |
| 156. #82604 | C22 | semidirect |
| 157. #82604 | C22 | semidirect |
| 158. #82604 | C22 | semidirect |
| 159. #82601 | C22 | semidirect |
| 160. #82598 | C22 | semidirect |
| 161. #82597 | C22 | semidirect |
| 162. #82596 | C22 | semidirect |
| 163. #82596 | C22 | semidirect |
| 164. #82595 | C22 | semidirect |
| 165. #82594 | C22 | semidirect |
| 166. #82594 | C22 | semidirect |
| 167. #82594 | C22 | semidirect |
| 168. #82592 | C22 | semidirect |
| 169. #82589 | C22 | semidirect |
| 170. #82588 | C22 | semidirect |
| 171. #82588 | C22 | semidirect |
| 172. #82588 | C22 | semidirect |
| 173. #82588 | C22 | semidirect |
| 174. #82587 | C22 | semidirect |
| 175. #82587 | C22 | semidirect |
| 176. #82586 | C22 | semidirect |
| 177. #82586 | C22 | semidirect |
| 178. #82585 | C22 | semidirect |
| 179. #82582 | C22 | semidirect |
| 180. #82582 | C22 | semidirect |
| 181. #82579 | C22 | semidirect |
| 182. #82579 | C22 | semidirect |
| 183. #82127 | C22 | semidirect |
| 184. #82127 | C22 | semidirect |
| 185. #82127 | C22 | semidirect |
| 186. #82127 | C22 | semidirect |
| 187. #82125 | C22 | semidirect |
| 188. #82115 | C22 | semidirect |
| 189. #82109 | C22 | semidirect |
| 190. #82109 | C22 | semidirect |
| 191. #82109 | C22 | semidirect |
| 192. #82109 | C22 | semidirect |
| 193. #82107 | C22 | semidirect |
| 194. #82107 | C22 | semidirect |
| 195. #82099 | C22 | semidirect |
| 196. #82099 | C22 | semidirect |
| 197. #82099 | C22 | semidirect |
| 198. #82099 | C22 | semidirect |
| 199. #77150 | C22 | semidirect |
| 200. #77140 | C22 | semidirect |
| 201. #77138 | C22 | semidirect |
| 202. #77138 | C22 | semidirect |
| 203. #77127 | C22 | semidirect |
| 204. #77127 | C22 | semidirect |
| 205. #77122 | C22 | semidirect |
| 206. #77119 | C22 | semidirect |
| 207. #77116 | C22 | semidirect |
| 208. #77114 | C22 | semidirect |
| 209. #77114 | C22 | semidirect |
| 210. #77111 | C22 | semidirect |
| 211. #77111 | C22 | semidirect |
| 212. #77108 | C22 | semidirect |
| 213. #77108 | C22 | semidirect |
| 214. #77016 | C22 | semidirect |
| 215. #77012 | C22 | semidirect |
| 216. #76982 | C22 | semidirect |
| 217. #76967 | C22 | semidirect |
| 218. #76962 | C22 | semidirect |
| 219. #76951 | C22 | semidirect |
| 220. #76947 | C22 | semidirect |
| 221. #76920 | C22 | semidirect |
| 222. #76920 | C22 | semidirect |
| 223. #76916 | C22 | semidirect |
| 224. #76916 | C22 | semidirect |
| 225. #76902 | C22 | semidirect |
| 226. #76895 | C22 | semidirect |
| 227. #76894 | C22 | semidirect |
| 228. #76894 | C22 | semidirect |
| 229. #76891 | C22 | semidirect |
| 230. #76889 | C22 | semidirect |
| 231. #76773 | C22 | semidirect |
| 232. #76771 | C22 | semidirect |
| 233. #76771 | C22 | semidirect |
| 234. #76764 | C22 | semidirect |
| 235. #76764 | C22 | semidirect |
| 236. #76763 | C22 | semidirect |
| 237. #76756 | C22 | semidirect |
| 238. #76754 | C22 | semidirect |
| 239. #76753 | C22 | semidirect |
| 240. #76753 | C22 | semidirect |
| 241. #76753 | C22 | semidirect |
| 242. #76753 | C22 | semidirect |
| 243. D3×#392 | C22 | semidirect |
| 244. #76718 | C22 | semidirect |
| 245. #76714 | C22 | semidirect |
| 246. #76700 | C22 | semidirect |
| 247. #76697 | C22 | semidirect |
| 248. #76691 | C22 | semidirect |
| 249. #76687 | C22 | semidirect |
| 250. #76686 | C22 | semidirect |
| 251. #76686 | C22 | semidirect |
| 252. #76682 | C22 | semidirect |
| 253. #76677 | C22 | semidirect |
| 254. #76677 | C22 | semidirect |
| 255. #76675 | C22 | semidirect |
| 256. #76675 | C22 | semidirect |
| 257. #76673 | C22 | semidirect |
| 258. #76672 | C22 | semidirect |
| 259. #76672 | C22 | semidirect |
| 260. #76669 | C22 | semidirect |
| 261. #76669 | C22 | semidirect |
| 262. #76667 | C22 | semidirect |
| 263. #74922 | C22 | semidirect |
| 264. #74918 | C22 | semidirect |
| 265. #74918 | C22 | semidirect |
| 266. #74918 | C22 | semidirect |
| 267. #74917 | C22 | semidirect |
| 268. #74915 | C22 | semidirect |
| 269. #74912 | C22 | semidirect |
| 270. #74912 | C22 | semidirect |
| 271. #74912 | C22 | semidirect |
| 272. #74911 | C22 | semidirect |
| 273. #74911 | C22 | semidirect |
| 274. #74910 | C22 | semidirect |
| 275. #74910 | C22 | semidirect |
| 276. #74910 | C22 | semidirect |
| 277. #74910 | C22 | semidirect |
| 278. #74910 | C22 | semidirect |
| 279. #74908 | C22 | semidirect |
| 280. #74902 | C22 | semidirect |
| 281. #74901 | C22 | semidirect |
| 282. #74898 | C22 | semidirect |
| 283. #74894 | C22 | semidirect |
| 284. #74886 | C22 | semidirect |
| 285. #74883 | C22 | semidirect |
| 286. #74881 | C22 | semidirect |
| 287. #74877 | C22 | semidirect |
| 288. #74876 | C22 | semidirect |
| 289. #74829 | C22 | semidirect |
| 290. #74828 | C22 | semidirect |
| 291. #74818 | C22 | semidirect |
| 292. #74814 | C22 | semidirect |
| 293. #74809 | C22 | semidirect |
| 294. #74808 | C22 | semidirect |
| 295. #74805 | C22 | semidirect |
| 296. #74798 | C22 | semidirect |
| 297. #74793 | C22 | semidirect |
| 298. #74792 | C22 | semidirect |
| 299. #74783 | C22 | semidirect |
| 300. #74758 | C22 | semidirect |
| 301. #74753 | C22 | semidirect |
| 302. #74751 | C22 | semidirect |
| 303. #74751 | C22 | semidirect |
| 304. #74719 | C22 | semidirect |
| 305. #74714 | C22 | semidirect |
| 306. #74688 | C22 | semidirect |
| 307. #74685 | C22 | semidirect |
| 308. #74684 | C22 | semidirect |
| 309. #74680 | C22 | semidirect |
| 310. #74679 | C22 | semidirect |
| 311. #74671 | C22 | semidirect |
| 312. #74669 | C22 | semidirect |
| 313. #74667 | C22 | semidirect |
| 314. #74667 | C22 | semidirect |
| 315. #74641 | C22 | semidirect |
| 316. #74634 | C22 | semidirect |
| 317. #74628 | C22 | semidirect |
| 318. #74623 | C22 | semidirect |
| 319. #74622 | C22 | semidirect |
| 320. #74618 | C22 | semidirect |
| 321. #74617 | C22 | semidirect |
| 322. #74594 | C22 | semidirect |
| 323. #74541 | C22 | semidirect |
| 324. #74537 | C22 | semidirect |
| 325. #74530 | C22 | semidirect |
| 326. #74516 | C22 | semidirect |
| 327. #74509 | C22 | semidirect |
| 328. #74499 | C22 | semidirect |
| 329. #74496 | C22 | semidirect |
| 330. #74385 | C22 | semidirect |
| 331. #74131 | C22 | semidirect |
| 332. #74129 | C22 | semidirect |
| 333. #74126 | C22 | semidirect |
| 334. #74125 | C22 | semidirect |
| 335. #74121 | C22 | semidirect |
| 336. #74076 | C22 | semidirect |
| 337. #74065 | C22 | semidirect |
| 338. #74059 | C22 | semidirect |
| 339. #73861 | C22 | semidirect |
| 340. #73859 | C22 | semidirect |
| 341. #73858 | C22 | semidirect |
| 342. #73858 | C22 | semidirect |
| 343. #73857 | C22 | semidirect |
| 344. #73856 | C22 | semidirect |
| 345. #73854 | C22 | semidirect |
| 346. #73854 | C22 | semidirect |
| 347. #73854 | C22 | semidirect |
| 348. #73854 | C22 | semidirect |
| 349. #73853 | C22 | semidirect |
| 350. #73852 | C22 | semidirect |
| 351. #73852 | C22 | semidirect |
| 352. #73852 | C22 | semidirect |
| 353. #73852 | C22 | semidirect |
| 354. #73850 | C22 | semidirect |
| 355. #73850 | C22 | semidirect |
| 356. #73850 | C22 | semidirect |
| 357. #73850 | C22 | semidirect |
| 358. #73850 | C22 | semidirect |
| 359. #73850 | C22 | semidirect |
| 360. #73840 | C22 | semidirect |
| 361. #73839 | C22 | semidirect |
| 362. #73838 | C22 | semidirect |
| 363. #73837 | C22 | semidirect |
| 364. #73831 | C22 | semidirect |
| 365. #73830 | C22 | semidirect |
| 366. #73829 | C22 | semidirect |
| 367. #73829 | C22 | semidirect |
| 368. #73828 | C22 | semidirect |
| 369. #73828 | C22 | semidirect |
| 370. #73827 | C22 | semidirect |
| 371. #73826 | C22 | semidirect |
| 372. #73826 | C22 | semidirect |
| 373. #73824 | C22 | semidirect |
| 374. #73824 | C22 | semidirect |
| 375. #73824 | C22 | semidirect |
| 376. #73824 | C22 | semidirect |
| 377. #73821 | C22 | semidirect |
| 378. #73818 | C22 | semidirect |
| 379. #34980 | D3 | semidirect |
| 392. C23×C3×D4 | C23 | semidirect |
| 406. C23×#67 | C23 | semidirect |
| 407. C23×#67 | C23 | semidirect |
| 408. C23×#67 | C23 | semidirect |
| 410. C22×#237 | C23 | semidirect |
| 411. C22×#237 | C23 | semidirect |
| 413. C22×D3×D4 | C23 | semidirect |
| 414. C22×D3×D4 | C23 | semidirect |
| 415. C22×D3×D4 | C23 | semidirect |
| 416. C22×D3×D4 | C23 | semidirect |
| 417. C22×D3×D4 | C23 | semidirect |
| 418. C22×D3×D4 | C23 | semidirect |
| 421. C22×#235 | C23 | semidirect |
| 426. C2×C3×#123 | C23 | semidirect |
| 429. C2×C3×#121 | C23 | semidirect |
| 430. C2×C3×#121 | C23 | semidirect |
| 441. C2×C3×#120 | C23 | semidirect |
| 442. C2×C3×#120 | C23 | semidirect |
| 443. C2×C3×#120 | C23 | semidirect |
| 447. C22×C3×C22⋊C4 | C23 | semidirect |
| 448. C22×C3×C22⋊C4 | C23 | semidirect |
| 449. C22×C3×C22⋊C4 | C23 | semidirect |
| 468. C2×#953 | C23 | semidirect |
| 469. C2×#953 | C23 | semidirect |
| 470. C2×#953 | C23 | semidirect |
| 471. C2×#953 | C23 | semidirect |
| 472. C2×#953 | C23 | semidirect |
| 473. C2×#953 | C23 | semidirect |
| 484. C22×#217 | C23 | semidirect |
| 485. C22×#217 | C23 | semidirect |
| 486. #5805 | D4 | semidirect |
| 493. C2×#940 | C23 | semidirect |
| 494. C2×#940 | C23 | semidirect |
| 495. C2×#940 | C23 | semidirect |
| 503. C2×#939 | C23 | semidirect |
| 504. C2×#939 | C23 | semidirect |
| 505. C2×#939 | C23 | semidirect |
| 506. C2×#939 | C23 | semidirect |
| 507. C2×#939 | C23 | semidirect |
| 508. C2×#939 | C23 | semidirect |
| 509. C2×#939 | C23 | semidirect |
| 510. C2×#939 | C23 | semidirect |
| 511. C2×#939 | C23 | semidirect |
| 512. C2×#939 | C23 | semidirect |
| 513. C2×#939 | C23 | semidirect |
| 514. C2×#939 | C23 | semidirect |
| 515. C2×#939 | C23 | semidirect |
| 516. C2×#939 | C23 | semidirect |
| 517. C2×#939 | C23 | semidirect |
| 522. C2×#938 | C23 | semidirect |
| 523. C2×#938 | C23 | semidirect |
| 524. C2×#938 | C23 | semidirect |
| 540. C2×#937 | C23 | semidirect |
| 541. C2×#937 | C23 | semidirect |
| 542. C2×#937 | C23 | semidirect |
| 543. C2×#937 | C23 | semidirect |
| 544. C2×#937 | C23 | semidirect |
| 545. C2×#937 | C23 | semidirect |
| 546. C2×#937 | C23 | semidirect |
| 547. C2×#937 | C23 | semidirect |
| 548. C2×#937 | C23 | semidirect |
| 553. C2×#936 | C23 | semidirect |
| 556. C2×#935 | C23 | semidirect |
| 557. C2×#935 | C23 | semidirect |
| 558. C2×#935 | C23 | semidirect |
| 560. C2×D4×Dic3 | C23 | semidirect |
| 561. C2×D4×Dic3 | C23 | semidirect |
| 562. C2×D4×Dic3 | C23 | semidirect |
| 563. C2×D4×Dic3 | C23 | semidirect |
| 564. C2×D4×Dic3 | C23 | semidirect |
| 565. C2×D4×Dic3 | C23 | semidirect |
| 566. C2×#930 | C23 | semidirect |
| 567. C2×#930 | C23 | semidirect |
| 568. C2×#930 | C23 | semidirect |
| 569. C2×#930 | C23 | semidirect |
| 570. C2×#930 | C23 | semidirect |
| 571. C2×#930 | C23 | semidirect |
| 572. C2×#930 | C23 | semidirect |
| 573. C2×#930 | C23 | semidirect |
| 576. C2×#929 | C23 | semidirect |
| 577. C2×#929 | C23 | semidirect |
| 578. C2×C4×#67 | C23 | semidirect |
| 579. C2×C4×#67 | C23 | semidirect |
| 580. C2×C4×#67 | C23 | semidirect |
| 581. C2×C4×#67 | C23 | semidirect |
| 582. C2×C4×#67 | C23 | semidirect |
| 583. C2×C4×#67 | C23 | semidirect |
| 584. C2×C4×#67 | C23 | semidirect |
| 585. C2×C4×#67 | C23 | semidirect |
| 590. C2×#924 | C23 | semidirect |
| 591. C2×#924 | C23 | semidirect |
| 592. C2×#898 | C23 | semidirect |
| 593. C2×#898 | C23 | semidirect |
| 594. C2×#897 | C23 | semidirect |
| 595. C2×#896 | C23 | semidirect |
| 596. C2×#895 | C23 | semidirect |
| 597. C2×#894 | C23 | semidirect |
| 598. C2×#893 | C23 | semidirect |
| 599. C2×#892 | C23 | semidirect |
| 600. C2×#886 | C23 | semidirect |
| 601. C2×#885 | C23 | semidirect |
| 602. C2×#885 | C23 | semidirect |
| 603. C2×#885 | C23 | semidirect |
| 604. C2×#885 | C23 | semidirect |
| 605. C2×#885 | C23 | semidirect |
| 610. C2×#884 | C23 | semidirect |
| 611. C2×#884 | C23 | semidirect |
| 612. C2×#884 | C23 | semidirect |
| 613. C2×#884 | C23 | semidirect |
| 614. C2×#884 | C23 | semidirect |
| 615. C2×#884 | C23 | semidirect |
| 616. C2×#884 | C23 | semidirect |
| 617. C2×#883 | C23 | semidirect |
| 618. C2×#883 | C23 | semidirect |
| 619. C2×#883 | C23 | semidirect |
| 620. C2×#883 | C23 | semidirect |
| 624. C2×#882 | C23 | semidirect |
| 625. C2×#882 | C23 | semidirect |
| 626. C2×#882 | C23 | semidirect |
| 627. C2×#882 | C23 | semidirect |
| 628. C2×#882 | C23 | semidirect |
| 629. C2×#882 | C23 | semidirect |
| 630. C2×#882 | C23 | semidirect |
| 631. C2×#882 | C23 | semidirect |
| 632. C2×#882 | C23 | semidirect |
| 633. C2×#882 | C23 | semidirect |
| 634. C2×#882 | C23 | semidirect |
| 635. C2×#882 | C23 | semidirect |
| 636. C2×#882 | C23 | semidirect |
| 640. C2×#67⋊C4 | C23 | semidirect |
| 641. C2×#67⋊C4 | C23 | semidirect |
| 642. C2×#67⋊C4 | C23 | semidirect |
| 643. C2×#67⋊C4 | C23 | semidirect |
| 644. C2×#67⋊C4 | C23 | semidirect |
| 645. C2×#67⋊C4 | C23 | semidirect |
| 646. C2×#67⋊C4 | C23 | semidirect |
| 647. C2×#67⋊C4 | C23 | semidirect |
| 648. C2×#67⋊C4 | C23 | semidirect |
| 650. C2×D3×C22⋊C4 | C23 | semidirect |
| 651. C2×D3×C22⋊C4 | C23 | semidirect |
| 652. C2×D3×C22⋊C4 | C23 | semidirect |
| 653. C2×D3×C22⋊C4 | C23 | semidirect |
| 654. C2×D3×C22⋊C4 | C23 | semidirect |
| 655. C2×#879 | C23 | semidirect |
| 656. C2×#879 | C23 | semidirect |
| 658. C2×#878 | C23 | semidirect |
| 659. C2×#878 | C23 | semidirect |
| 664. C3×#394 | C23 | semidirect |
| 665. C3×#394 | C23 | semidirect |
| 666. C3×#394 | C23 | semidirect |
| 667. C3×#394 | C23 | semidirect |
| 672. C3×#392 | C23 | semidirect |
| 673. C3×#392 | C23 | semidirect |
| 674. C3×#392 | C23 | semidirect |
| 675. C3×#392 | C23 | semidirect |
| 682. C3×#386 | C23 | semidirect |
| 683. C3×#386 | C23 | semidirect |
| 684. C3×#386 | C23 | semidirect |
| 685. C3×#386 | C23 | semidirect |
| 686. C3×#386 | C23 | semidirect |
| 687. C3×#386 | C23 | semidirect |
| 688. C3×#386 | C23 | semidirect |
| 689. C3×#386 | C23 | semidirect |
| 690. C3×#385 | C23 | semidirect |
| 691. C3×#385 | C23 | semidirect |
| 692. C3×#385 | C23 | semidirect |
| 693. C3×#385 | C23 | semidirect |
| 704. C3×#379 | C23 | semidirect |
| 705. C3×#379 | C23 | semidirect |
| 710. #5247 | C23 | semidirect |
| 731. #5223 | C23 | semidirect |
| 732. #5223 | C23 | semidirect |
| 733. #5223 | C23 | semidirect |
| 734. #5223 | C23 | semidirect |
| 735. #5223 | C23 | semidirect |
| 736. #5223 | C23 | semidirect |
| 737. #5223 | C23 | semidirect |
| 738. #5223 | C23 | semidirect |
| 739. #5223 | C23 | semidirect |
| 740. #5223 | C23 | semidirect |
| 741. #5223 | C23 | semidirect |
| 742. #5223 | C23 | semidirect |
| 743. #5223 | C23 | semidirect |
| 744. #5223 | C23 | semidirect |
| 745. #5222 | C23 | semidirect |
| 746. #5222 | C23 | semidirect |
| 747. #5222 | C23 | semidirect |
| 748. #5222 | C23 | semidirect |
| 749. #5222 | C23 | semidirect |
| 750. #5222 | C23 | semidirect |
| 751. #5221 | C23 | semidirect |
| 752. #5221 | C23 | semidirect |
| 753. #5221 | C23 | semidirect |
| 766. #5220 | C23 | semidirect |
| 767. #5220 | C23 | semidirect |
| 768. #5220 | C23 | semidirect |
| 769. #5220 | C23 | semidirect |
| 770. #5220 | C23 | semidirect |
| 771. #5220 | C23 | semidirect |
| 772. #5220 | C23 | semidirect |
| 773. #5220 | C23 | semidirect |
| 774. #5220 | C23 | semidirect |
| 783. #5213 | C23 | semidirect |
| 784. #5213 | C23 | semidirect |
| 785. #5213 | C23 | semidirect |
| 786. #5213 | C23 | semidirect |
| 787. #5213 | C23 | semidirect |
| 788. #5213 | C23 | semidirect |
| 789. #5213 | C23 | semidirect |
| 790. #5213 | C23 | semidirect |
| 791. #5211 | C23 | semidirect |
| 792. #5210 | C23 | semidirect |
| 793. #5210 | C23 | semidirect |
| 794. #5210 | C23 | semidirect |
| 795. #5210 | C23 | semidirect |
| 796. C4×#217 | C23 | semidirect |
| 797. C4×#217 | C23 | semidirect |
| 800. #4994 | C23 | semidirect |
| 801. #4993 | C23 | semidirect |
| 802. #4993 | C23 | semidirect |
| 803. #4992 | C23 | semidirect |
| 804. #4991 | C23 | semidirect |
| 805. #4991 | C23 | semidirect |
| 806. #4991 | C23 | semidirect |
| 807. #4990 | C23 | semidirect |
| 808. #4989 | C23 | semidirect |
| 809. #4989 | C23 | semidirect |
| 810. #4989 | C23 | semidirect |
| 811. #4989 | C23 | semidirect |
| 812. #4988 | C23 | semidirect |
| 813. #4988 | C23 | semidirect |
| 814. #4987 | C23 | semidirect |
| 815. #4986 | C23 | semidirect |
| 816. #4983 | C23 | semidirect |
| 817. #4982 | C23 | semidirect |
| 818. #4981 | C23 | semidirect |
| 819. #4979 | C23 | semidirect |
| 820. #4978 | C23 | semidirect |
| 821. #4978 | C23 | semidirect |
| 822. #4976 | C23 | semidirect |
| 823. #4972 | C23 | semidirect |
| 824. #4961 | C23 | semidirect |
| 825. #4961 | C23 | semidirect |
| 826. #4961 | C23 | semidirect |
| 827. #4961 | C23 | semidirect |
| 828. #4961 | C23 | semidirect |
| 829. #4961 | C23 | semidirect |
| 830. #4961 | C23 | semidirect |
| 831. #4961 | C23 | semidirect |
| 832. #4961 | C23 | semidirect |
| 833. #4961 | C23 | semidirect |
| 834. #4961 | C23 | semidirect |
| 835. #4961 | C23 | semidirect |
| 836. #4961 | C23 | semidirect |
| 845. #4960 | C23 | semidirect |
| 846. #4960 | C23 | semidirect |
| 847. #4960 | C23 | semidirect |
| 848. #4960 | C23 | semidirect |
| 849. #4960 | C23 | semidirect |
| 850. #4960 | C23 | semidirect |
| 851. #4960 | C23 | semidirect |
| 852. #4960 | C23 | semidirect |
| 853. #4960 | C23 | semidirect |
| 854. #4960 | C23 | semidirect |
| 855. #4960 | C23 | semidirect |
| 856. #4960 | C23 | semidirect |
| 857. #4960 | C23 | semidirect |
| 858. #4960 | C23 | semidirect |
| 859. #4960 | C23 | semidirect |
| 864. #4959 | C23 | semidirect |
| 865. #4959 | C23 | semidirect |
| 866. #4959 | C23 | semidirect |
| 867. #4959 | C23 | semidirect |
| 868. #4959 | C23 | semidirect |
| 869. #4959 | C23 | semidirect |
| 870. #4959 | C23 | semidirect |
| 871. #4959 | C23 | semidirect |
| 872. #4959 | C23 | semidirect |
| 873. #4959 | C23 | semidirect |
| 874. #4959 | C23 | semidirect |
| 875. #4959 | C23 | semidirect |
| 876. #4959 | C23 | semidirect |
| 877. #4959 | C23 | semidirect |
| 878. #4959 | C23 | semidirect |
| 879. #4959 | C23 | semidirect |
| 880. #4959 | C23 | semidirect |
| 887. #4958 | C23 | semidirect |
| 888. #4958 | C23 | semidirect |
| 889. #4958 | C23 | semidirect |
| 890. #4958 | C23 | semidirect |
| 891. #4958 | C23 | semidirect |
| 892. #4958 | C23 | semidirect |
| 893. #4958 | C23 | semidirect |
| 894. #4958 | C23 | semidirect |
| 895. #4958 | C23 | semidirect |
| 896. #4958 | C23 | semidirect |
| 897. #4958 | C23 | semidirect |
| 898. #4958 | C23 | semidirect |
| 899. #4958 | C23 | semidirect |
| 900. #4958 | C23 | semidirect |
| 901. #4958 | C23 | semidirect |
| 902. #4958 | C23 | semidirect |
| 903. #4958 | C23 | semidirect |
| 908. #4957 | C23 | semidirect |
| 909. #4957 | C23 | semidirect |
| 910. #4957 | C23 | semidirect |
| 911. #4957 | C23 | semidirect |
| 912. #4957 | C23 | semidirect |
| 913. #4957 | C23 | semidirect |
| 914. #4957 | C23 | semidirect |
| 915. #4957 | C23 | semidirect |
| 916. #4957 | C23 | semidirect |
| 917. #4957 | C23 | semidirect |
| 918. #4957 | C23 | semidirect |
| 919. #4957 | C23 | semidirect |
| 920. #4957 | C23 | semidirect |
| 921. #4957 | C23 | semidirect |
| 922. #4957 | C23 | semidirect |
| 923. #4957 | C23 | semidirect |
| 928. #4956 | C23 | semidirect |
| 929. #4956 | C23 | semidirect |
| 930. #4956 | C23 | semidirect |
| 931. #4956 | C23 | semidirect |
| 932. #4956 | C23 | semidirect |
| 933. #4956 | C23 | semidirect |
| 934. #4956 | C23 | semidirect |
| 935. #4956 | C23 | semidirect |
| 936. #4956 | C23 | semidirect |
| 937. #4956 | C23 | semidirect |
| 938. #4956 | C23 | semidirect |
| 939. #4956 | C23 | semidirect |
| 940. #4956 | C23 | semidirect |
| 941. #4956 | C23 | semidirect |
| 942. #4956 | C23 | semidirect |
| 943. #4956 | C23 | semidirect |
| 944. #4956 | C23 | semidirect |
| 947. #4955 | C23 | semidirect |
| 948. #4955 | C23 | semidirect |
| 949. #4955 | C23 | semidirect |
| 950. #4955 | C23 | semidirect |
| 951. #4955 | C23 | semidirect |
| 952. #4955 | C23 | semidirect |
| 953. #4955 | C23 | semidirect |
| 954. #4955 | C23 | semidirect |
| 955. #4955 | C23 | semidirect |
| 956. #4955 | C23 | semidirect |
| 957. #4953 | C23 | semidirect |
| 958. #4953 | C23 | semidirect |
| 959. #4953 | C23 | semidirect |
| 960. #4953 | C23 | semidirect |
| 961. #4953 | C23 | semidirect |
| 962. #4952 | C23 | semidirect |
| 963. #4952 | C23 | semidirect |
| 964. #4952 | C23 | semidirect |
| 965. #4952 | C23 | semidirect |
| 966. #4952 | C23 | semidirect |
| 967. #4952 | C23 | semidirect |
| 968. #4952 | C23 | semidirect |
| 969. #4951 | C23 | semidirect |
| 970. #4951 | C23 | semidirect |
| 971. #4951 | C23 | semidirect |
| 972. #4951 | C23 | semidirect |
| 973. #4951 | C23 | semidirect |
| 974. #4951 | C23 | semidirect |
| 977. #4950 | C23 | semidirect |
| 978. #4950 | C23 | semidirect |
| 979. #4950 | C23 | semidirect |
| 980. #4950 | C23 | semidirect |
| 981. #4949 | C23 | semidirect |
| 982. #4949 | C23 | semidirect |
| 983. #4949 | C23 | semidirect |
| 984. #4949 | C23 | semidirect |
| 985. #4948 | C23 | semidirect |
| 986. #4948 | C23 | semidirect |
| 987. #4948 | C23 | semidirect |
| 988. #4948 | C23 | semidirect |
| 989. #4948 | C23 | semidirect |
| 990. #4948 | C23 | semidirect |
| 991. #4948 | C23 | semidirect |
| 992. #4947 | C23 | semidirect |
| 993. #4947 | C23 | semidirect |
| 994. #4947 | C23 | semidirect |
| 995. #4947 | C23 | semidirect |
| 998. #4946 | C23 | semidirect |
| 999. #4946 | C23 | semidirect |
| 1000. #4946 | C23 | semidirect |
| 1001. #4946 | C23 | semidirect |
| 1002. #4946 | C23 | semidirect |
| 1003. #4946 | C23 | semidirect |
| 1004. #4945 | C23 | semidirect |
| 1005. #4945 | C23 | semidirect |
| 1006. #4945 | C23 | semidirect |
| 1007. #4945 | C23 | semidirect |
| 1008. #4945 | C23 | semidirect |
| 1009. #4945 | C23 | semidirect |
| 1010. #4944 | C23 | semidirect |
| 1011. #4944 | C23 | semidirect |
| 1012. #4944 | C23 | semidirect |
| 1013. #4944 | C23 | semidirect |
| 1014. #4944 | C23 | semidirect |
| 1015. #4944 | C23 | semidirect |
| 1016. #4944 | C23 | semidirect |
| 1017. #4944 | C23 | semidirect |
| 1018. #4944 | C23 | semidirect |
| 1021. #4942 | C23 | semidirect |
| 1022. #4942 | C23 | semidirect |
| 1023. #4942 | C23 | semidirect |
| 1024. #4942 | C23 | semidirect |
| 1025. #4942 | C23 | semidirect |
| 1026. #4942 | C23 | semidirect |
| 1027. #4942 | C23 | semidirect |
| 1030. Dic3×C22⋊C4 | C23 | semidirect |
| 1031. Dic3×C22⋊C4 | C23 | semidirect |
| 1032. Dic3×C22⋊C4 | C23 | semidirect |
| 1033. Dic3×C22⋊C4 | C23 | semidirect |
| 1034. Dic3×C22⋊C4 | C23 | semidirect |
| 1035. Dic3×C22⋊C4 | C23 | semidirect |
| 1036. #4677 | C23 | semidirect |
| 1037. #4677 | C23 | semidirect |
| 1038. #4676 | C23 | semidirect |
| 1039. #4676 | C23 | semidirect |
| 1040. #4675 | C23 | semidirect |
| 1041. #4675 | C23 | semidirect |
| 1042. #4675 | C23 | semidirect |
| 1043. #4675 | C23 | semidirect |
| 1044. #4674 | C23 | semidirect |
| 1045. #4674 | C23 | semidirect |
| 1046. #4674 | C23 | semidirect |
| 1047. #4673 | C23 | semidirect |
| 1048. #4673 | C23 | semidirect |
| 1049. #4673 | C23 | semidirect |
| 1050. #4672 | C23 | semidirect |
| 1051. #4672 | C23 | semidirect |
| 1052. #4672 | C23 | semidirect |
| 1053. #4672 | C23 | semidirect |
| 1054. #4671 | C23 | semidirect |
| 1055. #4671 | C23 | semidirect |
| 1056. #4670 | C23 | semidirect |
| 1057. #4670 | C23 | semidirect |
| 1058. #4670 | C23 | semidirect |
| 1059. #4670 | C23 | semidirect |
| 1060. #4670 | C23 | semidirect |
| 1061. #4669 | C23 | semidirect |
| 1062. #4669 | C23 | semidirect |
| 1063. #4669 | C23 | semidirect |
| 1064. #4668 | C23 | semidirect |
| 1065. #4667 | C23 | semidirect |
| 1066. #4667 | C23 | semidirect |
| 1067. #4667 | C23 | semidirect |
| 1068. #4666 | C23 | semidirect |
| 1069. #4665 | C23 | semidirect |
| 1070. #4665 | C23 | semidirect |
| 1071. #4665 | C23 | semidirect |
| 1072. #4665 | C23 | semidirect |
| 1073. #4665 | C23 | semidirect |
| 1074. #4665 | C23 | semidirect |
| 1075. #4665 | C23 | semidirect |
| 1076. #4665 | C23 | semidirect |
| 1077. #4665 | C23 | semidirect |
| 1078. #4665 | C23 | semidirect |
| 1079. #4664 | C23 | semidirect |
| 1080. #4664 | C23 | semidirect |
| 1081. D3×#95 | C23 | semidirect |
| 1082. #4660 | C23 | semidirect |
| 1083. #4658 | C23 | semidirect |
| 1084. #4658 | C23 | semidirect |
| 1085. #4657 | C23 | semidirect |
| 1086. #4654 | C23 | semidirect |
| 1087. #4654 | C23 | semidirect |
| 1088. #4654 | C23 | semidirect |
| 1089. #4653 | C23 | semidirect |
| 1090. #4653 | C23 | semidirect |
| 1091. #4652 | C23 | semidirect |
| 1092. #4651 | C23 | semidirect |
| 1093. #4650 | C23 | semidirect |
| 1094. #4650 | C23 | semidirect |
| 1095. #4649 | C23 | semidirect |
| 1096. #4648 | C23 | semidirect |
| 1097. #4646 | C23 | semidirect |
| 1098. #4646 | C23 | semidirect |
| 1099. #4646 | C23 | semidirect |
| 1100. C24×D4 | C2×D3 | semidirect |
| 1101. C2×#534 | C2×D3 | semidirect |
| 1102. C2×#534 | C2×D3 | semidirect |
| 1103. C22×#120 | C2×D3 | semidirect |
| 1104. #2849 | C2×D3 | semidirect |
| 1105. #2846 | C2×D3 | semidirect |
| 1106. #2613 | C2×D3 | semidirect |
| 1107. #2613 | C2×D3 | semidirect |
| 1108. #2410 | C2×D3 | semidirect |
| 1109. #2410 | C2×D3 | semidirect |
| 1110. #2410 | C2×D3 | semidirect |
| 1111. #2410 | C2×D3 | semidirect |
| 1112. #2405 | C2×D3 | semidirect |
| 1113. #2405 | C2×D3 | semidirect |
| 1114. #2403 | C2×D3 | semidirect |
| 1115. #2403 | C2×D3 | semidirect |
| 1116. #2308 | C2×D3 | semidirect |
| 1117. #2308 | C2×D3 | semidirect |
| 1118. C2×#379 | C2×D3 | semidirect |
| 1136. C22×C3×D4 | C2×D4 | semidirect |
| 1219. C2×#235 | C2×D4 | semidirect |
| 1280. #953 | C2×D4 | semidirect |
| 1281. #953 | C2×D4 | semidirect |
| 1330. #940 | C2×D4 | semidirect |
| 1331. #940 | C2×D4 | semidirect |
| 1332. #938 | C2×D4 | semidirect |
| 1333. #938 | C2×D4 | semidirect |
| 1334. #936 | C2×D4 | semidirect |
| 1335. #936 | C2×D4 | semidirect |
| 1384. #926 | C2×D4 | semidirect |
| 1484. C23×D4 | C22×D3 | semidirect |
| 1490. C2×#123 | C22×D3 | semidirect |
| 1493. C2×#121 | C22×D3 | semidirect |
| 1494. C2×#121 | C22×D3 | semidirect |
| 1505. C2×#120 | C22×D3 | semidirect |
| 1506. C2×#120 | C22×D3 | semidirect |
| 1507. C2×#120 | C22×D3 | semidirect |
| 1511. C22×C22⋊C4 | C22×D3 | semidirect |
| 1512. C22×C22⋊C4 | C22×D3 | semidirect |
| 1513. C22×C22⋊C4 | C22×D3 | semidirect |
| 1518. #394 | C22×D3 | semidirect |
| 1519. #394 | C22×D3 | semidirect |
| 1520. #394 | C22×D3 | semidirect |
| 1521. #394 | C22×D3 | semidirect |
| 1526. #392 | C22×D3 | semidirect |
| 1527. #392 | C22×D3 | semidirect |
| 1528. #392 | C22×D3 | semidirect |
| 1529. #392 | C22×D3 | semidirect |
| 1536. #386 | C22×D3 | semidirect |
| 1537. #386 | C22×D3 | semidirect |
| 1538. #386 | C22×D3 | semidirect |
| 1539. #386 | C22×D3 | semidirect |
| 1540. #386 | C22×D3 | semidirect |
| 1541. #386 | C22×D3 | semidirect |
| 1542. #386 | C22×D3 | semidirect |
| 1543. #386 | C22×D3 | semidirect |
| 1544. #385 | C22×D3 | semidirect |
| 1545. #385 | C22×D3 | semidirect |
| 1546. #385 | C22×D3 | semidirect |
| 1547. #385 | C22×D3 | semidirect |
| 1558. #379 | C22×D3 | semidirect |
| 1559. #379 | C22×D3 | semidirect |
| 1595. C2×#67 | C22×D4 | semidirect |
| 1596. C2×#67 | C22×D4 | semidirect |
| 1597. C2×#67 | H(5,𝔽2) | semidirect |
| 1610. C2×D12 | C22×D4 | semidirect |
| 1611. C2×C4×D3 | C22×D4 | semidirect |
| 1612. C2×Dic6 | C22×D4 | semidirect |
| 1616. #217 | C22×D4 | semidirect |
| 1617. #217 | C22×D4 | semidirect |
| 1618. C4⋊Dic3 | C22×D4 | semidirect |
| 1619. C4×Dic3 | C22×D4 | semidirect |
| 1620. C4×Dic3 | C22×D4 | semidirect |
| 1631. C22×D4 | D3×D4 | semidirect |
| 1786. C3 | #7792761 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.