Order 1536.
At least 7834 conjugacy classes of subgroups; only the 4131 normal subgroups are shown.
The subgroup lattice has 2194 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×#59004 | C2 |
| hypercenter | #59004 | D3 |
| hypocenter | C3 | C2×#59004 |
| LCS | G ▷ C23×C3 ▷ C3 | |
| UCS | C1 ◁ C23 ◁ #59004 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×D3×#546 | C2 | semidirect |
| 2. C2×D3×D42 | C2 | semidirect |
| 3. C2×D3×#525 | C2 | semidirect |
| 4. C22×D3×#121 | C2 | semidirect |
| 5. #11633087 | C2 | semidirect |
| 6. #11633086 | C2 | semidirect |
| 7. #11633085 | C2 | semidirect |
| 8. #11633084 | C2 | semidirect |
| 9. #11633083 | C2 | semidirect |
| 10. #11633082 | C2 | semidirect |
| 11. #11633081 | C2 | semidirect |
| 12. #11633080 | C2 | semidirect |
| 13. #11633079 | C2 | semidirect |
| 14. #11633078 | C2 | semidirect |
| 15. #11633077 | C2 | semidirect |
| 16. #11633076 | C2 | semidirect |
| 17. #11633075 | C2 | semidirect |
| 18. #11633074 | C2 | semidirect |
| 19. #11633073 | C2 | semidirect |
| 20. #11633072 | C2 | semidirect |
| 21. #11633071 | C2 | semidirect |
| 22. #11633070 | C2 | semidirect |
| 23. #11633069 | C2 | semidirect |
| 24. #11633068 | C2 | semidirect |
| 25. #11633067 | C2 | semidirect |
| 26. #11633066 | C2 | semidirect |
| 27. #11633065 | C2 | semidirect |
| 28. D3×#2678 | C2 | semidirect |
| 29. D3×#2671 | C2 | semidirect |
| 30. D3×#2540 | C2 | semidirect |
| 31. D3×#2431 | C2 | semidirect |
| 32. D3×#2414 | C2 | semidirect |
| 33. D3×#2427 | C2 | semidirect |
| 34. D3×#2435 | C2 | semidirect |
| 35. D3×#2417 | C2 | semidirect |
| 36. D3×#2428 | C2 | semidirect |
| 37. D3×#2464 | C2 | semidirect |
| 38. D3×#2408 | C2 | semidirect |
| 39. D3×#2408 | C2 | semidirect |
| 40. D3×#2424 | C2 | semidirect |
| 41. D3×#2418 | C2 | semidirect |
| 42. D3×#2403 | C2 | semidirect |
| 43. D3×#2363 | C2 | semidirect |
| 44. D3×#2361 | C2 | semidirect |
| 45. D3×D4×C22⋊C4 | C2 | semidirect |
| 46. C4×D3×#120 | C2 | semidirect |
| 47. C3×#59004 | C2 | semidirect |
| 48. C22×D3×#41 | C22 | semidirect |
| 51. C23×D3×D4 | C22 | semidirect |
| 52. C23×D3×D4 | C22 | semidirect |
| 53. C24×C4×D3 | C22 | semidirect |
| 54. C2×C3×#546 | C22 | semidirect |
| 55. C2×C3×D42 | C22 | semidirect |
| 56. C2×C3×#525 | C22 | semidirect |
| 57. C22×C3×#121 | C22 | semidirect |
| 58. C2×#5829 | C22 | semidirect |
| 59. C2×#5828 | C22 | semidirect |
| 60. C2×D4×#67 | C22 | semidirect |
| 61. C2×D4×#67 | C22 | semidirect |
| 62. C2×D4×#67 | C22 | semidirect |
| 63. C22×#938 | C22 | semidirect |
| 64. C2×#5806 | C22 | semidirect |
| 65. C22×#939 | C22 | semidirect |
| 66. C2×#5791 | C22 | semidirect |
| 67. C22×#930 | C22 | semidirect |
| 68. C2×#5717 | C22 | semidirect |
| 69. C2×D3×#127 | C22 | semidirect |
| 70. C2×#5676 | C22 | semidirect |
| 71. C2×D3×#124 | C22 | semidirect |
| 72. C2×D3×#124 | C22 | semidirect |
| 73. C2×#5654 | C22 | semidirect |
| 74. C2×D3×#123 | C22 | semidirect |
| 75. C2×D3×#123 | C22 | semidirect |
| 76. C2×#5656 | C22 | semidirect |
| 77. C2×#5630 | C22 | semidirect |
| 78. C2×D3×C22⋊Q8 | C22 | semidirect |
| 79. C2×D3×C22⋊Q8 | C22 | semidirect |
| 80. C2×D3×C22⋊Q8 | C22 | semidirect |
| 81. C2×#5627 | C22 | semidirect |
| 82. C2×#5627 | C22 | semidirect |
| 83. C2×#5612 | C22 | semidirect |
| 84. C2×#5610 | C22 | semidirect |
| 85. C2×#5609 | C22 | semidirect |
| 86. C2×#5609 | C22 | semidirect |
| 87. C2×#5609 | C22 | semidirect |
| 91. C2×D3×#121 | C22 | semidirect |
| 92. C2×D3×#121 | C22 | semidirect |
| 93. C2×D3×#121 | C22 | semidirect |
| 94. C2×D3×#121 | C22 | semidirect |
| 95. C2×D3×#121 | C22 | semidirect |
| 96. C2×D3×#121 | C22 | semidirect |
| 97. C2×D3×#121 | C22 | semidirect |
| 98. C2×D3×#121 | C22 | semidirect |
| 99. C2×D3×#121 | C22 | semidirect |
| 100. C2×D3×#121 | C22 | semidirect |
| 101. C2×D3×#121 | C22 | semidirect |
| 102. C2×D3×#121 | C22 | semidirect |
| 103. C2×D3×#121 | C22 | semidirect |
| 104. C2×D3×#121 | C22 | semidirect |
| 105. C2×D3×#121 | C22 | semidirect |
| 106. C2×#5606 | C22 | semidirect |
| 107. C2×#5606 | C22 | semidirect |
| 108. C2×#5591 | C22 | semidirect |
| 109. C2×#5590 | C22 | semidirect |
| 110. C2×#5590 | C22 | semidirect |
| 113. C2×D3×#120 | C22 | semidirect |
| 114. C2×D3×#120 | C22 | semidirect |
| 115. C2×D3×#120 | C22 | semidirect |
| 116. C2×D3×#120 | C22 | semidirect |
| 117. C2×#5586 | C22 | semidirect |
| 118. C2×#5550 | C22 | semidirect |
| 119. C2×#5554 | C22 | semidirect |
| 120. C2×D4×D12 | C22 | semidirect |
| 121. C2×D4×D12 | C22 | semidirect |
| 122. C2×#5547 | C22 | semidirect |
| 123. C2×#5547 | C22 | semidirect |
| 125. C2×C4×D3×D4 | C22 | semidirect |
| 126. C2×C4×D3×D4 | C22 | semidirect |
| 127. C2×C4×D3×D4 | C22 | semidirect |
| 128. C2×C4×D3×D4 | C22 | semidirect |
| 129. C2×C4×D3×D4 | C22 | semidirect |
| 130. C2×C4×D3×D4 | C22 | semidirect |
| 131. C2×C4×D3×D4 | C22 | semidirect |
| 132. C2×#5524 | C22 | semidirect |
| 133. C2×D3×#117 | C22 | semidirect |
| 134. C22×#895 | C22 | semidirect |
| 135. C22×D3×C4⋊C4 | C22 | semidirect |
| 136. C2×#5490 | C22 | semidirect |
| 137. C22×#884 | C22 | semidirect |
| 138. C22×D3×C22⋊C4 | C22 | semidirect |
| 139. C22×D3×C22⋊C4 | C22 | semidirect |
| 140. C3×#2678 | C22 | semidirect |
| 141. C3×#2671 | C22 | semidirect |
| 142. C3×#2540 | C22 | semidirect |
| 143. C3×#2464 | C22 | semidirect |
| 144. C3×#2435 | C22 | semidirect |
| 145. C3×#2431 | C22 | semidirect |
| 146. C3×#2428 | C22 | semidirect |
| 147. C3×#2427 | C22 | semidirect |
| 148. C3×#2424 | C22 | semidirect |
| 149. C3×#2418 | C22 | semidirect |
| 150. C3×#2417 | C22 | semidirect |
| 151. C3×#2414 | C22 | semidirect |
| 152. C3×#2408 | C22 | semidirect |
| 153. C3×#2408 | C22 | semidirect |
| 154. C3×#2403 | C22 | semidirect |
| 155. C3×#2363 | C22 | semidirect |
| 156. C3×#2361 | C22 | semidirect |
| 157. C3×D4×C22⋊C4 | C22 | semidirect |
| 158. C3×C4×#120 | C22 | semidirect |
| 159. #84092 | C22 | semidirect |
| 160. #84053 | C22 | semidirect |
| 161. #84053 | C22 | semidirect |
| 162. #84052 | C22 | semidirect |
| 163. #84052 | C22 | semidirect |
| 164. #84050 | C22 | semidirect |
| 165. D4×#217 | C22 | semidirect |
| 166. C4×#953 | C22 | semidirect |
| 167. #83187 | C22 | semidirect |
| 168. #83186 | C22 | semidirect |
| 169. #82998 | C22 | semidirect |
| 170. #82996 | C22 | semidirect |
| 171. #82960 | C22 | semidirect |
| 172. #82960 | C22 | semidirect |
| 173. #82958 | C22 | semidirect |
| 174. #82907 | C22 | semidirect |
| 175. #82905 | C22 | semidirect |
| 176. #82896 | C22 | semidirect |
| 177. #82853 | C22 | semidirect |
| 178. #82815 | C22 | semidirect |
| 179. #82779 | C22 | semidirect |
| 180. #82779 | C22 | semidirect |
| 181. #82761 | C22 | semidirect |
| 182. #82756 | C22 | semidirect |
| 183. #82752 | C22 | semidirect |
| 184. #82720 | C22 | semidirect |
| 185. #82716 | C22 | semidirect |
| 186. #82715 | C22 | semidirect |
| 187. #82707 | C22 | semidirect |
| 188. #82706 | C22 | semidirect |
| 189. #82704 | C22 | semidirect |
| 190. #82703 | C22 | semidirect |
| 191. #82681 | C22 | semidirect |
| 192. #82668 | C22 | semidirect |
| 193. #82668 | C22 | semidirect |
| 194. #82659 | C22 | semidirect |
| 195. #82658 | C22 | semidirect |
| 196. #82652 | C22 | semidirect |
| 197. #82650 | C22 | semidirect |
| 198. #82649 | C22 | semidirect |
| 199. #82648 | C22 | semidirect |
| 200. #82647 | C22 | semidirect |
| 201. #82640 | C22 | semidirect |
| 202. #82640 | C22 | semidirect |
| 203. #82640 | C22 | semidirect |
| 204. #82640 | C22 | semidirect |
| 205. #82637 | C22 | semidirect |
| 206. #82636 | C22 | semidirect |
| 207. #82610 | C22 | semidirect |
| 208. #82604 | C22 | semidirect |
| 209. #82604 | C22 | semidirect |
| 210. #82604 | C22 | semidirect |
| 211. #82604 | C22 | semidirect |
| 212. #82596 | C22 | semidirect |
| 213. #82587 | C22 | semidirect |
| 214. #82586 | C22 | semidirect |
| 215. #82585 | C22 | semidirect |
| 216. #82582 | C22 | semidirect |
| 217. #82582 | C22 | semidirect |
| 218. #82582 | C22 | semidirect |
| 219. Dic3×#120 | C22 | semidirect |
| 220. #82413 | C22 | semidirect |
| 221. #82409 | C22 | semidirect |
| 222. #82408 | C22 | semidirect |
| 223. #82407 | C22 | semidirect |
| 224. #82404 | C22 | semidirect |
| 225. #82403 | C22 | semidirect |
| 226. #82403 | C22 | semidirect |
| 227. #82399 | C22 | semidirect |
| 228. D4×(C2×D3)⋊C4 | C22 | semidirect |
| 229. D4×(C2×D3)⋊C4 | C22 | semidirect |
| 230. C4×#937 | C22 | semidirect |
| 231. C4×#937 | C22 | semidirect |
| 232. C4×#937 | C22 | semidirect |
| 233. #82377 | C22 | semidirect |
| 234. #82353 | C22 | semidirect |
| 235. #82350 | C22 | semidirect |
| 236. #82341 | C22 | semidirect |
| 237. #82340 | C22 | semidirect |
| 238. #82276 | C22 | semidirect |
| 239. #82244 | C22 | semidirect |
| 240. #82194 | C22 | semidirect |
| 241. #82163 | C22 | semidirect |
| 242. #82128 | C22 | semidirect |
| 243. C22⋊C4×#67 | C22 | semidirect |
| 244. C22⋊C4×#67 | C22 | semidirect |
| 245. #82109 | C22 | semidirect |
| 246. #78113 | C22 | semidirect |
| 247. #78101 | C22 | semidirect |
| 248. D3×#399 | C22 | semidirect |
| 249. #78036 | C22 | semidirect |
| 250. #77967 | C22 | semidirect |
| 251. D3×#398 | C22 | semidirect |
| 252. #77753 | C22 | semidirect |
| 253. #77742 | C22 | semidirect |
| 254. #77690 | C22 | semidirect |
| 255. #77669 | C22 | semidirect |
| 256. D3×#397 | C22 | semidirect |
| 257. #77466 | C22 | semidirect |
| 258. #77430 | C22 | semidirect |
| 259. #77416 | C22 | semidirect |
| 260. D3×#396 | C22 | semidirect |
| 261. #77285 | C22 | semidirect |
| 262. #77137 | C22 | semidirect |
| 263. #77136 | C22 | semidirect |
| 264. #77131 | C22 | semidirect |
| 265. #77130 | C22 | semidirect |
| 266. #77114 | C22 | semidirect |
| 267. #77113 | C22 | semidirect |
| 268. #77112 | C22 | semidirect |
| 269. #77111 | C22 | semidirect |
| 270. D3×#394 | C22 | semidirect |
| 271. D3×#394 | C22 | semidirect |
| 272. D3×#394 | C22 | semidirect |
| 273. D3×#394 | C22 | semidirect |
| 274. D3×#394 | C22 | semidirect |
| 275. D3×#394 | C22 | semidirect |
| 276. #76999 | C22 | semidirect |
| 277. #76917 | C22 | semidirect |
| 278. #76905 | C22 | semidirect |
| 279. #76905 | C22 | semidirect |
| 280. #76903 | C22 | semidirect |
| 281. #76902 | C22 | semidirect |
| 282. #76896 | C22 | semidirect |
| 283. #76895 | C22 | semidirect |
| 284. #76895 | C22 | semidirect |
| 285. #76895 | C22 | semidirect |
| 286. #76772 | C22 | semidirect |
| 287. #76771 | C22 | semidirect |
| 288. #76756 | C22 | semidirect |
| 289. #76753 | C22 | semidirect |
| 290. #76753 | C22 | semidirect |
| 291. #76753 | C22 | semidirect |
| 292. #76753 | C22 | semidirect |
| 293. D3×#392 | C22 | semidirect |
| 294. D3×#392 | C22 | semidirect |
| 295. D3×#392 | C22 | semidirect |
| 296. D3×#392 | C22 | semidirect |
| 297. D3×#392 | C22 | semidirect |
| 298. D3×#392 | C22 | semidirect |
| 299. #76710 | C22 | semidirect |
| 300. #76687 | C22 | semidirect |
| 301. #76683 | C22 | semidirect |
| 302. #76682 | C22 | semidirect |
| 303. #76672 | C22 | semidirect |
| 304. #76672 | C22 | semidirect |
| 305. #76671 | C22 | semidirect |
| 306. #76670 | C22 | semidirect |
| 307. #76669 | C22 | semidirect |
| 308. #76669 | C22 | semidirect |
| 309. #76669 | C22 | semidirect |
| 310. #76626 | C22 | semidirect |
| 311. #76624 | C22 | semidirect |
| 312. #76621 | C22 | semidirect |
| 313. D3×#391 | C22 | semidirect |
| 314. #76463 | C22 | semidirect |
| 315. #76462 | C22 | semidirect |
| 316. #76447 | C22 | semidirect |
| 317. #76444 | C22 | semidirect |
| 318. #76442 | C22 | semidirect |
| 319. #76438 | C22 | semidirect |
| 320. #76436 | C22 | semidirect |
| 321. #76436 | C22 | semidirect |
| 322. #76436 | C22 | semidirect |
| 323. #76436 | C22 | semidirect |
| 324. #76433 | C22 | semidirect |
| 325. #76431 | C22 | semidirect |
| 326. #76431 | C22 | semidirect |
| 327. D3×#390 | C22 | semidirect |
| 328. D3×#390 | C22 | semidirect |
| 329. D3×#390 | C22 | semidirect |
| 330. D3×#390 | C22 | semidirect |
| 331. D3×#390 | C22 | semidirect |
| 332. D3×#390 | C22 | semidirect |
| 333. D3×#390 | C22 | semidirect |
| 334. #76347 | C22 | semidirect |
| 335. #76347 | C22 | semidirect |
| 336. #76315 | C22 | semidirect |
| 337. #76315 | C22 | semidirect |
| 338. #76313 | C22 | semidirect |
| 339. #76311 | C22 | semidirect |
| 340. #76305 | C22 | semidirect |
| 341. #76304 | C22 | semidirect |
| 342. #76220 | C22 | semidirect |
| 343. #76219 | C22 | semidirect |
| 344. #76212 | C22 | semidirect |
| 345. #76209 | C22 | semidirect |
| 346. #76206 | C22 | semidirect |
| 347. D3×#389 | C22 | semidirect |
| 348. D3×#389 | C22 | semidirect |
| 349. #75985 | C22 | semidirect |
| 350. #75916 | C22 | semidirect |
| 351. #75858 | C22 | semidirect |
| 352. #75857 | C22 | semidirect |
| 353. #75846 | C22 | semidirect |
| 354. #75845 | C22 | semidirect |
| 355. #75844 | C22 | semidirect |
| 356. D3×#388 | C22 | semidirect |
| 357. D3×#388 | C22 | semidirect |
| 358. D3×#388 | C22 | semidirect |
| 359. #75495 | C22 | semidirect |
| 360. #75480 | C22 | semidirect |
| 361. #75477 | C22 | semidirect |
| 362. #74917 | C22 | semidirect |
| 363. #74913 | C22 | semidirect |
| 364. #74894 | C22 | semidirect |
| 365. #74893 | C22 | semidirect |
| 366. #74892 | C22 | semidirect |
| 367. #74891 | C22 | semidirect |
| 368. #74884 | C22 | semidirect |
| 369. #74884 | C22 | semidirect |
| 370. #74884 | C22 | semidirect |
| 371. #74884 | C22 | semidirect |
| 372. #74878 | C22 | semidirect |
| 373. #74878 | C22 | semidirect |
| 374. #74878 | C22 | semidirect |
| 375. #74878 | C22 | semidirect |
| 378. D3×#386 | C22 | semidirect |
| 379. D3×#386 | C22 | semidirect |
| 380. D3×#386 | C22 | semidirect |
| 381. D3×#386 | C22 | semidirect |
| 382. D3×#386 | C22 | semidirect |
| 383. D3×#386 | C22 | semidirect |
| 384. D3×#386 | C22 | semidirect |
| 385. D3×#386 | C22 | semidirect |
| 386. #74790 | C22 | semidirect |
| 387. #74720 | C22 | semidirect |
| 388. #74719 | C22 | semidirect |
| 389. #74700 | C22 | semidirect |
| 390. #74700 | C22 | semidirect |
| 391. #74698 | C22 | semidirect |
| 392. #74697 | C22 | semidirect |
| 393. #74693 | C22 | semidirect |
| 394. #74677 | C22 | semidirect |
| 395. #74676 | C22 | semidirect |
| 396. #74659 | C22 | semidirect |
| 397. #74659 | C22 | semidirect |
| 398. #74659 | C22 | semidirect |
| 399. #74628 | C22 | semidirect |
| 400. #74627 | C22 | semidirect |
| 401. #74605 | C22 | semidirect |
| 402. #74603 | C22 | semidirect |
| 403. D3×#385 | C22 | semidirect |
| 404. D3×#385 | C22 | semidirect |
| 405. D3×#385 | C22 | semidirect |
| 406. D3×#385 | C22 | semidirect |
| 407. #74432 | C22 | semidirect |
| 408. #74397 | C22 | semidirect |
| 409. #74379 | C22 | semidirect |
| 410. #74379 | C22 | semidirect |
| 411. #74379 | C22 | semidirect |
| 412. #74035 | C22 | semidirect |
| 413. #74021 | C22 | semidirect |
| 414. #74019 | C22 | semidirect |
| 415. #74016 | C22 | semidirect |
| 416. #74016 | C22 | semidirect |
| 417. #74007 | C22 | semidirect |
| 418. D3×#380 | C22 | semidirect |
| 419. D3×#380 | C22 | semidirect |
| 420. D3×#380 | C22 | semidirect |
| 421. #73895 | C22 | semidirect |
| 422. #73889 | C22 | semidirect |
| 423. #73888 | C22 | semidirect |
| 424. #73858 | C22 | semidirect |
| 425. #73852 | C22 | semidirect |
| 426. #73850 | C22 | semidirect |
| 427. #73850 | C22 | semidirect |
| 428. D3×#379 | C22 | semidirect |
| 429. D3×#379 | C22 | semidirect |
| 430. D3×#379 | C22 | semidirect |
| 431. D3×#379 | C22 | semidirect |
| 432. #73827 | C22 | semidirect |
| 433. #73827 | C22 | semidirect |
| 434. #73826 | C22 | semidirect |
| 435. #73824 | C22 | semidirect |
| 436. #73824 | C22 | semidirect |
| 437. #73824 | C22 | semidirect |
| 438. #73818 | C22 | semidirect |
| 439. #73798 | C22 | semidirect |
| 440. #73774 | C22 | semidirect |
| 441. C4×D3×C4⋊C4 | C22 | semidirect |
| 442. #73649 | C22 | semidirect |
| 443. #73591 | C22 | semidirect |
| 444. #73588 | C22 | semidirect |
| 445. #73586 | C22 | semidirect |
| 446. C22⋊C4×D12 | C22 | semidirect |
| 447. C4×#882 | C22 | semidirect |
| 448. C4×#882 | C22 | semidirect |
| 449. C4×#882 | C22 | semidirect |
| 450. C4×D3×C22⋊C4 | C22 | semidirect |
| 451. C4×D3×C22⋊C4 | C22 | semidirect |
| 452. C4×D3×C22⋊C4 | C22 | semidirect |
| 453. C4×D3×C22⋊C4 | C22 | semidirect |
| 454. #73487 | C22 | semidirect |
| 455. #73486 | C22 | semidirect |
| 456. #73470 | C22 | semidirect |
| 457. #73469 | C22 | semidirect |
| 458. #73467 | C22 | semidirect |
| 459. #59004 | D3 | direct (N × H) |
| 463. C22×C3×#41 | C23 | semidirect |
| 466. C23×C3×D4 | C23 | semidirect |
| 467. C23×C3×D4 | C23 | semidirect |
| 468. C24×C3×C4 | C23 | semidirect |
| 472. C23×#67 | C23 | semidirect |
| 473. C23×#67 | C23 | semidirect |
| 474. C23×#67 | C23 | semidirect |
| 475. C24×Dic3 | C23 | semidirect |
| 476. C22×#239 | C23 | semidirect |
| 478. C22×#237 | C23 | semidirect |
| 479. C22×#237 | C23 | semidirect |
| 505. C22×D3×D4 | C23 | semidirect |
| 506. C22×D3×D4 | C23 | semidirect |
| 507. C22×D3×D4 | C23 | semidirect |
| 508. C22×D3×D4 | C23 | semidirect |
| 509. C22×D3×D4 | C23 | semidirect |
| 510. C22×D3×D4 | C23 | semidirect |
| 511. C22×D3×D4 | C23 | semidirect |
| 512. C22×#235 | C23 | semidirect |
| 513. C22×#235 | C23 | semidirect |
| 516. C23×D12 | C23 | semidirect |
| 517. C23×D12 | C23 | semidirect |
| 529. C23×C4×D3 | C23 | semidirect |
| 530. C23×C4×D3 | C23 | semidirect |
| 531. C23×C4×D3 | C23 | semidirect |
| 532. C23×C4×D3 | C23 | semidirect |
| 533. C23×C4×D3 | C23 | semidirect |
| 534. C23×C4×D3 | C23 | semidirect |
| 535. C2×C3×#127 | C23 | semidirect |
| 536. C2×C3×#124 | C23 | semidirect |
| 537. C2×C3×#124 | C23 | semidirect |
| 538. C2×C3×#123 | C23 | semidirect |
| 539. C2×C3×#123 | C23 | semidirect |
| 540. C2×C3×C22⋊Q8 | C23 | semidirect |
| 541. C2×C3×C22⋊Q8 | C23 | semidirect |
| 542. C2×C3×C22⋊Q8 | C23 | semidirect |
| 546. C2×C3×#121 | C23 | semidirect |
| 547. C2×C3×#121 | C23 | semidirect |
| 548. C2×C3×#121 | C23 | semidirect |
| 549. C2×C3×#121 | C23 | semidirect |
| 550. C2×C3×#121 | C23 | semidirect |
| 551. C2×C3×#121 | C23 | semidirect |
| 552. C2×C3×#121 | C23 | semidirect |
| 553. C2×C3×#121 | C23 | semidirect |
| 554. C2×C3×#121 | C23 | semidirect |
| 557. C2×C3×#120 | C23 | semidirect |
| 558. C2×C3×#120 | C23 | semidirect |
| 559. C2×C3×#120 | C23 | semidirect |
| 560. C2×C3×#120 | C23 | semidirect |
| 562. C2×C3×C4×D4 | C23 | semidirect |
| 563. C2×C3×C4×D4 | C23 | semidirect |
| 564. C2×C3×C4×D4 | C23 | semidirect |
| 565. C2×C3×C4×D4 | C23 | semidirect |
| 566. C2×C3×C4×D4 | C23 | semidirect |
| 567. C2×C3×C4×D4 | C23 | semidirect |
| 568. C2×C3×C4×D4 | C23 | semidirect |
| 569. C2×C3×#117 | C23 | semidirect |
| 570. C22×C3×C4⋊C4 | C23 | semidirect |
| 571. C22×C3×C22⋊C4 | C23 | semidirect |
| 572. C22×C3×C22⋊C4 | C23 | semidirect |
| 575. C2×#953 | C23 | semidirect |
| 576. C2×#953 | C23 | semidirect |
| 577. C2×#953 | C23 | semidirect |
| 578. C2×#953 | C23 | semidirect |
| 579. C22×#217 | C23 | semidirect |
| 580. C22×#217 | C23 | semidirect |
| 581. C2×#947 | C23 | semidirect |
| 582. C2×#947 | C23 | semidirect |
| 583. C2×#946 | C23 | semidirect |
| 584. C2×#946 | C23 | semidirect |
| 585. C2×#946 | C23 | semidirect |
| 586. C2×#940 | C23 | semidirect |
| 587. C2×#940 | C23 | semidirect |
| 588. C2×#940 | C23 | semidirect |
| 589. C2×#940 | C23 | semidirect |
| 593. C2×#939 | C23 | semidirect |
| 594. C2×#939 | C23 | semidirect |
| 595. C2×#939 | C23 | semidirect |
| 596. C2×#939 | C23 | semidirect |
| 597. C2×#939 | C23 | semidirect |
| 598. C2×#939 | C23 | semidirect |
| 599. C2×#939 | C23 | semidirect |
| 600. C2×#939 | C23 | semidirect |
| 601. C2×#939 | C23 | semidirect |
| 602. C2×#939 | C23 | semidirect |
| 603. C2×#939 | C23 | semidirect |
| 604. C2×#939 | C23 | semidirect |
| 605. C2×#939 | C23 | semidirect |
| 606. C2×#939 | C23 | semidirect |
| 610. C2×#938 | C23 | semidirect |
| 611. C2×#938 | C23 | semidirect |
| 612. C2×#938 | C23 | semidirect |
| 613. C2×#938 | C23 | semidirect |
| 614. C2×#938 | C23 | semidirect |
| 615. C2×#938 | C23 | semidirect |
| 616. C2×#938 | C23 | semidirect |
| 617. C2×#938 | C23 | semidirect |
| 618. C2×#938 | C23 | semidirect |
| 625. C2×#937 | C23 | semidirect |
| 626. C2×#937 | C23 | semidirect |
| 627. C2×#937 | C23 | semidirect |
| 628. C2×#937 | C23 | semidirect |
| 629. C2×#937 | C23 | semidirect |
| 630. C2×#937 | C23 | semidirect |
| 631. C2×#937 | C23 | semidirect |
| 632. C2×#937 | C23 | semidirect |
| 633. C2×#937 | C23 | semidirect |
| 634. C2×#937 | C23 | semidirect |
| 635. C2×#937 | C23 | semidirect |
| 636. C2×#937 | C23 | semidirect |
| 637. C2×#936 | C23 | semidirect |
| 638. C2×#936 | C23 | semidirect |
| 639. C2×#935 | C23 | semidirect |
| 640. C2×#935 | C23 | semidirect |
| 642. C2×D4×Dic3 | C23 | semidirect |
| 643. C2×D4×Dic3 | C23 | semidirect |
| 644. C2×D4×Dic3 | C23 | semidirect |
| 645. C2×D4×Dic3 | C23 | semidirect |
| 646. C2×D4×Dic3 | C23 | semidirect |
| 647. C2×D4×Dic3 | C23 | semidirect |
| 648. C2×D4×Dic3 | C23 | semidirect |
| 652. C2×#930 | C23 | semidirect |
| 653. C2×#930 | C23 | semidirect |
| 654. C2×#930 | C23 | semidirect |
| 655. C2×#930 | C23 | semidirect |
| 656. C2×#930 | C23 | semidirect |
| 657. C2×#930 | C23 | semidirect |
| 658. C2×#930 | C23 | semidirect |
| 659. C2×#930 | C23 | semidirect |
| 660. C2×#930 | C23 | semidirect |
| 661. C2×#929 | C23 | semidirect |
| 662. C2×#929 | C23 | semidirect |
| 665. C2×C4×#67 | C23 | semidirect |
| 666. C2×C4×#67 | C23 | semidirect |
| 667. C2×C4×#67 | C23 | semidirect |
| 668. C2×C4×#67 | C23 | semidirect |
| 669. C2×C4×#67 | C23 | semidirect |
| 670. C2×C4×#67 | C23 | semidirect |
| 671. C2×C4×#67 | C23 | semidirect |
| 672. C2×C4×#67 | C23 | semidirect |
| 673. C2×C4×#67 | C23 | semidirect |
| 674. C2×C4×#67 | C23 | semidirect |
| 675. C2×C4×#67 | C23 | semidirect |
| 676. C2×C4×#67 | C23 | semidirect |
| 677. C22×(C2×D3)⋊C4 | C23 | semidirect |
| 678. C22×(C2×D3)⋊C4 | C23 | semidirect |
| 679. C22×(C2×D3)⋊C4 | C23 | semidirect |
| 680. C22×(C2×D3)⋊C4 | C23 | semidirect |
| 681. C2×#926 | C23 | semidirect |
| 682. C22×C4⋊Dic3 | C23 | semidirect |
| 683. C2×#924 | C23 | semidirect |
| 684. C2×#924 | C23 | semidirect |
| 685. C2×#924 | C23 | semidirect |
| 686. C22×Dic3⋊C4 | C23 | semidirect |
| 687. D3×#121 | D4 | semidirect |
| 688. D3×#121 | D4 | semidirect |
| 689. C2×#897 | C23 | semidirect |
| 690. C2×#897 | C23 | semidirect |
| 691. C2×#897 | C23 | semidirect |
| 692. C2×#896 | C23 | semidirect |
| 693. C2×#896 | C23 | semidirect |
| 694. C2×#896 | C23 | semidirect |
| 698. C2×#895 | C23 | semidirect |
| 699. C2×#895 | C23 | semidirect |
| 700. C2×#895 | C23 | semidirect |
| 701. C2×#895 | C23 | semidirect |
| 702. C2×#895 | C23 | semidirect |
| 703. C2×#895 | C23 | semidirect |
| 704. C2×#895 | C23 | semidirect |
| 705. C2×#895 | C23 | semidirect |
| 706. C2×#895 | C23 | semidirect |
| 707. C2×#894 | C23 | semidirect |
| 708. C2×#894 | C23 | semidirect |
| 709. C2×#894 | C23 | semidirect |
| 710. C2×#894 | C23 | semidirect |
| 712. C2×#893 | C23 | semidirect |
| 713. C2×#893 | C23 | semidirect |
| 714. C2×#893 | C23 | semidirect |
| 715. C2×#893 | C23 | semidirect |
| 716. C2×#893 | C23 | semidirect |
| 717. C2×#893 | C23 | semidirect |
| 718. C2×#893 | C23 | semidirect |
| 719. C2×#892 | C23 | semidirect |
| 720. C2×#892 | C23 | semidirect |
| 734. C2×D3×C4⋊C4 | C23 | semidirect |
| 735. C2×D3×C4⋊C4 | C23 | semidirect |
| 736. C2×D3×C4⋊C4 | C23 | semidirect |
| 737. C2×#886 | C23 | semidirect |
| 738. C2×#886 | C23 | semidirect |
| 739. C2×#885 | C23 | semidirect |
| 740. C2×#885 | C23 | semidirect |
| 741. C2×#885 | C23 | semidirect |
| 742. C2×#885 | C23 | semidirect |
| 746. C2×#884 | C23 | semidirect |
| 747. C2×#884 | C23 | semidirect |
| 748. C2×#884 | C23 | semidirect |
| 749. C2×#884 | C23 | semidirect |
| 750. C2×#884 | C23 | semidirect |
| 751. C2×#884 | C23 | semidirect |
| 752. C2×#884 | C23 | semidirect |
| 753. C2×#884 | C23 | semidirect |
| 754. C2×#884 | C23 | semidirect |
| 755. C2×#884 | C23 | semidirect |
| 756. C2×#884 | C23 | semidirect |
| 757. C2×#884 | C23 | semidirect |
| 758. C2×#884 | C23 | semidirect |
| 759. C2×#884 | C23 | semidirect |
| 760. C2×#883 | C23 | semidirect |
| 761. C2×#883 | C23 | semidirect |
| 762. C2×#883 | C23 | semidirect |
| 763. C2×#883 | C23 | semidirect |
| 770. C2×#882 | C23 | semidirect |
| 771. C2×#882 | C23 | semidirect |
| 772. C2×#882 | C23 | semidirect |
| 773. C2×#882 | C23 | semidirect |
| 774. C2×#882 | C23 | semidirect |
| 775. C2×#882 | C23 | semidirect |
| 776. C2×#882 | C23 | semidirect |
| 777. C2×#882 | C23 | semidirect |
| 778. C2×#882 | C23 | semidirect |
| 779. C2×#882 | C23 | semidirect |
| 780. C2×#882 | C23 | semidirect |
| 781. C2×#882 | C23 | semidirect |
| 784. C2×#67⋊C4 | C23 | semidirect |
| 785. C2×#67⋊C4 | C23 | semidirect |
| 786. C2×#67⋊C4 | C23 | semidirect |
| 787. C2×#67⋊C4 | C23 | semidirect |
| 788. C2×#67⋊C4 | C23 | semidirect |
| 789. C2×#67⋊C4 | C23 | semidirect |
| 790. C2×#67⋊C4 | C23 | semidirect |
| 791. C2×#67⋊C4 | C23 | semidirect |
| 792. C2×#67⋊C4 | C23 | semidirect |
| 793. C2×#67⋊C4 | C23 | semidirect |
| 794. C2×#67⋊C4 | C23 | semidirect |
| 795. C2×#67⋊C4 | C23 | semidirect |
| 832. C2×D3×C22⋊C4 | C23 | semidirect |
| 833. C2×D3×C22⋊C4 | C23 | semidirect |
| 834. C2×D3×C22⋊C4 | C23 | semidirect |
| 835. C2×D3×C22⋊C4 | C23 | semidirect |
| 836. C2×D3×C22⋊C4 | C23 | semidirect |
| 837. C2×D3×C22⋊C4 | C23 | semidirect |
| 838. C2×D3×C22⋊C4 | C23 | semidirect |
| 839. C2×D3×C22⋊C4 | C23 | semidirect |
| 840. C2×#878 | C23 | semidirect |
| 841. C2×#878 | C23 | semidirect |
| 842. C2×#878 | C23 | semidirect |
| 843. C2×#877 | C23 | semidirect |
| 844. C2×#875 | C23 | semidirect |
| 845. C2×#875 | C23 | semidirect |
| 846. C2×#874 | C23 | semidirect |
| 848. C2×C4×D12 | C23 | semidirect |
| 849. C2×C4×D12 | C23 | semidirect |
| 850. C2×C4×D12 | C23 | semidirect |
| 851. C2×C4×D12 | C23 | semidirect |
| 852. C2×C4×D12 | C23 | semidirect |
| 853. C2×C4×D12 | C23 | semidirect |
| 854. C2×C4×D12 | C23 | semidirect |
| 855. C2×#872 | C23 | semidirect |
| 861. C3×#399 | C23 | semidirect |
| 862. C3×#398 | C23 | semidirect |
| 863. C3×#397 | C23 | semidirect |
| 864. C3×#396 | C23 | semidirect |
| 865. C3×#394 | C23 | semidirect |
| 866. C3×#394 | C23 | semidirect |
| 867. C3×#394 | C23 | semidirect |
| 868. C3×#394 | C23 | semidirect |
| 869. C3×#394 | C23 | semidirect |
| 870. C3×#394 | C23 | semidirect |
| 871. C3×#392 | C23 | semidirect |
| 872. C3×#392 | C23 | semidirect |
| 873. C3×#392 | C23 | semidirect |
| 874. C3×#392 | C23 | semidirect |
| 875. C3×#392 | C23 | semidirect |
| 876. C3×#392 | C23 | semidirect |
| 877. C3×#391 | C23 | semidirect |
| 878. C3×#390 | C23 | semidirect |
| 879. C3×#390 | C23 | semidirect |
| 880. C3×#390 | C23 | semidirect |
| 881. C3×#390 | C23 | semidirect |
| 882. C3×#390 | C23 | semidirect |
| 883. C3×#390 | C23 | semidirect |
| 884. C3×#390 | C23 | semidirect |
| 885. C3×#389 | C23 | semidirect |
| 886. C3×#389 | C23 | semidirect |
| 887. C3×#388 | C23 | semidirect |
| 888. C3×#388 | C23 | semidirect |
| 889. C3×#388 | C23 | semidirect |
| 892. C3×#386 | C23 | semidirect |
| 893. C3×#386 | C23 | semidirect |
| 894. C3×#386 | C23 | semidirect |
| 895. C3×#386 | C23 | semidirect |
| 896. C3×#386 | C23 | semidirect |
| 897. C3×#386 | C23 | semidirect |
| 898. C3×#386 | C23 | semidirect |
| 899. C3×#386 | C23 | semidirect |
| 900. C3×#385 | C23 | semidirect |
| 901. C3×#385 | C23 | semidirect |
| 902. C3×#385 | C23 | semidirect |
| 903. C3×#385 | C23 | semidirect |
| 904. C3×#380 | C23 | semidirect |
| 905. C3×#380 | C23 | semidirect |
| 906. C3×#380 | C23 | semidirect |
| 907. C3×#379 | C23 | semidirect |
| 908. C3×#379 | C23 | semidirect |
| 909. C3×#379 | C23 | semidirect |
| 910. C3×#379 | C23 | semidirect |
| 911. C3×C4×C4⋊C4 | C23 | semidirect |
| 912. C3×C4×C22⋊C4 | C23 | semidirect |
| 913. C3×C4×C22⋊C4 | C23 | semidirect |
| 914. C3×C4×C22⋊C4 | C23 | semidirect |
| 915. C3×C4×C22⋊C4 | C23 | semidirect |
| 916. #5247 | C23 | semidirect |
| 917. #5247 | C23 | semidirect |
| 918. #5247 | C23 | semidirect |
| 919. #5247 | C23 | semidirect |
| 920. #5229 | C23 | semidirect |
| 921. #5223 | C23 | semidirect |
| 922. #5223 | C23 | semidirect |
| 923. #5223 | C23 | semidirect |
| 924. #5223 | C23 | semidirect |
| 925. #5223 | C23 | semidirect |
| 926. #5223 | C23 | semidirect |
| 927. #5223 | C23 | semidirect |
| 928. #5223 | C23 | semidirect |
| 929. #5223 | C23 | semidirect |
| 930. #5223 | C23 | semidirect |
| 931. #5223 | C23 | semidirect |
| 932. #5223 | C23 | semidirect |
| 933. #5223 | C23 | semidirect |
| 934. #5223 | C23 | semidirect |
| 935. #5223 | C23 | semidirect |
| 936. #5223 | C23 | semidirect |
| 937. #5223 | C23 | semidirect |
| 938. #5223 | C23 | semidirect |
| 939. #5222 | C23 | semidirect |
| 940. #5222 | C23 | semidirect |
| 941. #5222 | C23 | semidirect |
| 942. #5222 | C23 | semidirect |
| 943. #5222 | C23 | semidirect |
| 944. #5222 | C23 | semidirect |
| 945. #5221 | C23 | semidirect |
| 946. #5221 | C23 | semidirect |
| 947. #5221 | C23 | semidirect |
| 948. #5221 | C23 | semidirect |
| 949. #5221 | C23 | semidirect |
| 950. #5221 | C23 | semidirect |
| 951. #5221 | C23 | semidirect |
| 954. #5220 | C23 | semidirect |
| 955. #5220 | C23 | semidirect |
| 956. #5220 | C23 | semidirect |
| 957. #5220 | C23 | semidirect |
| 958. #5220 | C23 | semidirect |
| 959. #5220 | C23 | semidirect |
| 960. #5220 | C23 | semidirect |
| 961. #5220 | C23 | semidirect |
| 964. #5213 | C23 | semidirect |
| 965. #5213 | C23 | semidirect |
| 966. #5213 | C23 | semidirect |
| 967. #5213 | C23 | semidirect |
| 968. #5213 | C23 | semidirect |
| 969. #5213 | C23 | semidirect |
| 970. #5213 | C23 | semidirect |
| 971. #5213 | C23 | semidirect |
| 972. #5212 | C23 | semidirect |
| 973. #5212 | C23 | semidirect |
| 974. #5212 | C23 | semidirect |
| 975. #5210 | C23 | semidirect |
| 976. #5210 | C23 | semidirect |
| 977. #5210 | C23 | semidirect |
| 978. #5210 | C23 | semidirect |
| 979. C4×#217 | C23 | semidirect |
| 980. C4×#217 | C23 | semidirect |
| 981. C4×#217 | C23 | semidirect |
| 982. C4×#217 | C23 | semidirect |
| 983. #4994 | C23 | semidirect |
| 984. #4994 | C23 | semidirect |
| 985. #4994 | C23 | semidirect |
| 986. #4993 | C23 | semidirect |
| 987. #4993 | C23 | semidirect |
| 988. #4993 | C23 | semidirect |
| 989. #4992 | C23 | semidirect |
| 990. #4991 | C23 | semidirect |
| 991. #4991 | C23 | semidirect |
| 992. #4991 | C23 | semidirect |
| 993. #4991 | C23 | semidirect |
| 994. #4991 | C23 | semidirect |
| 995. #4991 | C23 | semidirect |
| 996. #4990 | C23 | semidirect |
| 997. #4990 | C23 | semidirect |
| 998. #4990 | C23 | semidirect |
| 999. #4989 | C23 | semidirect |
| 1000. #4989 | C23 | semidirect |
| 1001. #4989 | C23 | semidirect |
| 1002. #4989 | C23 | semidirect |
| 1003. #4989 | C23 | semidirect |
| 1004. #4989 | C23 | semidirect |
| 1005. #4989 | C23 | semidirect |
| 1006. #4989 | C23 | semidirect |
| 1007. #4988 | C23 | semidirect |
| 1008. #4988 | C23 | semidirect |
| 1009. #4988 | C23 | semidirect |
| 1010. #4988 | C23 | semidirect |
| 1011. #4988 | C23 | semidirect |
| 1012. #4988 | C23 | semidirect |
| 1013. #4988 | C23 | semidirect |
| 1014. #4987 | C23 | semidirect |
| 1015. #4987 | C23 | semidirect |
| 1016. #4987 | C23 | semidirect |
| 1017. #4987 | C23 | semidirect |
| 1018. #4987 | C23 | semidirect |
| 1019. #4987 | C23 | semidirect |
| 1020. #4984 | C23 | semidirect |
| 1021. #4984 | C23 | semidirect |
| 1022. #4983 | C23 | semidirect |
| 1023. #4982 | C23 | semidirect |
| 1024. #4982 | C23 | semidirect |
| 1025. #4981 | C23 | semidirect |
| 1026. #4976 | C23 | semidirect |
| 1027. #4976 | C23 | semidirect |
| 1028. Dic3×C4⋊C4 | C23 | semidirect |
| 1029. Dic3×C4⋊C4 | C23 | semidirect |
| 1030. #4973 | C23 | semidirect |
| 1031. #4972 | C23 | semidirect |
| 1032. #4972 | C23 | semidirect |
| 1033. #4961 | C23 | semidirect |
| 1034. #4961 | C23 | semidirect |
| 1035. #4961 | C23 | semidirect |
| 1036. #4961 | C23 | semidirect |
| 1037. #4961 | C23 | semidirect |
| 1038. #4961 | C23 | semidirect |
| 1039. #4961 | C23 | semidirect |
| 1040. #4961 | C23 | semidirect |
| 1041. #4961 | C23 | semidirect |
| 1042. #4961 | C23 | semidirect |
| 1043. #4961 | C23 | semidirect |
| 1044. #4961 | C23 | semidirect |
| 1045. #4960 | C23 | semidirect |
| 1046. #4960 | C23 | semidirect |
| 1047. #4960 | C23 | semidirect |
| 1048. #4960 | C23 | semidirect |
| 1049. #4960 | C23 | semidirect |
| 1050. #4960 | C23 | semidirect |
| 1051. #4960 | C23 | semidirect |
| 1052. #4960 | C23 | semidirect |
| 1053. #4960 | C23 | semidirect |
| 1054. #4960 | C23 | semidirect |
| 1055. #4960 | C23 | semidirect |
| 1056. #4960 | C23 | semidirect |
| 1057. #4960 | C23 | semidirect |
| 1058. #4960 | C23 | semidirect |
| 1059. #4960 | C23 | semidirect |
| 1060. #4960 | C23 | semidirect |
| 1061. #4960 | C23 | semidirect |
| 1062. #4960 | C23 | semidirect |
| 1063. #4959 | C23 | semidirect |
| 1064. #4959 | C23 | semidirect |
| 1065. #4959 | C23 | semidirect |
| 1066. #4959 | C23 | semidirect |
| 1067. #4959 | C23 | semidirect |
| 1068. #4959 | C23 | semidirect |
| 1069. #4959 | C23 | semidirect |
| 1070. #4959 | C23 | semidirect |
| 1071. #4959 | C23 | semidirect |
| 1072. #4959 | C23 | semidirect |
| 1073. #4959 | C23 | semidirect |
| 1074. #4959 | C23 | semidirect |
| 1077. #4958 | C23 | semidirect |
| 1078. #4958 | C23 | semidirect |
| 1079. #4958 | C23 | semidirect |
| 1080. #4958 | C23 | semidirect |
| 1081. #4958 | C23 | semidirect |
| 1082. #4958 | C23 | semidirect |
| 1083. #4958 | C23 | semidirect |
| 1084. #4958 | C23 | semidirect |
| 1085. #4957 | C23 | semidirect |
| 1086. #4957 | C23 | semidirect |
| 1087. #4957 | C23 | semidirect |
| 1088. #4957 | C23 | semidirect |
| 1089. #4957 | C23 | semidirect |
| 1090. #4957 | C23 | semidirect |
| 1091. #4957 | C23 | semidirect |
| 1092. #4957 | C23 | semidirect |
| 1093. #4957 | C23 | semidirect |
| 1094. #4957 | C23 | semidirect |
| 1095. #4957 | C23 | semidirect |
| 1096. #4957 | C23 | semidirect |
| 1097. #4957 | C23 | semidirect |
| 1098. #4957 | C23 | semidirect |
| 1099. #4957 | C23 | semidirect |
| 1100. #4957 | C23 | semidirect |
| 1101. #4957 | C23 | semidirect |
| 1102. #4957 | C23 | semidirect |
| 1103. #4957 | C23 | semidirect |
| 1104. #4957 | C23 | semidirect |
| 1105. #4957 | C23 | semidirect |
| 1106. #4957 | C23 | semidirect |
| 1111. #4956 | C23 | semidirect |
| 1112. #4956 | C23 | semidirect |
| 1113. #4956 | C23 | semidirect |
| 1114. #4956 | C23 | semidirect |
| 1115. #4956 | C23 | semidirect |
| 1116. #4956 | C23 | semidirect |
| 1117. #4956 | C23 | semidirect |
| 1118. #4956 | C23 | semidirect |
| 1119. #4956 | C23 | semidirect |
| 1120. #4956 | C23 | semidirect |
| 1121. #4956 | C23 | semidirect |
| 1122. #4956 | C23 | semidirect |
| 1123. #4956 | C23 | semidirect |
| 1124. #4956 | C23 | semidirect |
| 1125. #4956 | C23 | semidirect |
| 1126. #4956 | C23 | semidirect |
| 1127. #4955 | C23 | semidirect |
| 1128. #4955 | C23 | semidirect |
| 1129. #4955 | C23 | semidirect |
| 1130. #4955 | C23 | semidirect |
| 1131. #4955 | C23 | semidirect |
| 1132. #4955 | C23 | semidirect |
| 1133. #4955 | C23 | semidirect |
| 1134. #4955 | C23 | semidirect |
| 1135. #4955 | C23 | semidirect |
| 1136. #4955 | C23 | semidirect |
| 1137. #4955 | C23 | semidirect |
| 1138. #4955 | C23 | semidirect |
| 1139. #4955 | C23 | semidirect |
| 1140. #4955 | C23 | semidirect |
| 1141. #4955 | C23 | semidirect |
| 1142. #4955 | C23 | semidirect |
| 1143. #4955 | C23 | semidirect |
| 1144. #4955 | C23 | semidirect |
| 1145. #4955 | C23 | semidirect |
| 1146. #4955 | C23 | semidirect |
| 1147. #4955 | C23 | semidirect |
| 1148. #4955 | C23 | semidirect |
| 1149. #4955 | C23 | semidirect |
| 1150. #4955 | C23 | semidirect |
| 1151. #4953 | C23 | semidirect |
| 1152. #4952 | C23 | semidirect |
| 1153. #4952 | C23 | semidirect |
| 1154. #4951 | C23 | semidirect |
| 1155. #4951 | C23 | semidirect |
| 1156. #4951 | C23 | semidirect |
| 1157. #4950 | C23 | semidirect |
| 1158. #4950 | C23 | semidirect |
| 1159. #4950 | C23 | semidirect |
| 1160. #4950 | C23 | semidirect |
| 1161. #4949 | C23 | semidirect |
| 1162. #4949 | C23 | semidirect |
| 1163. #4949 | C23 | semidirect |
| 1164. #4948 | C23 | semidirect |
| 1165. #4948 | C23 | semidirect |
| 1166. #4948 | C23 | semidirect |
| 1167. #4946 | C23 | semidirect |
| 1168. #4946 | C23 | semidirect |
| 1169. #4946 | C23 | semidirect |
| 1170. #4946 | C23 | semidirect |
| 1171. #4945 | C23 | semidirect |
| 1172. #4945 | C23 | semidirect |
| 1173. #4945 | C23 | semidirect |
| 1174. #4944 | C23 | semidirect |
| 1175. #4944 | C23 | semidirect |
| 1176. #4944 | C23 | semidirect |
| 1177. #4942 | C23 | semidirect |
| 1178. #4942 | C23 | semidirect |
| 1179. #4942 | C23 | semidirect |
| 1180. #4942 | C23 | semidirect |
| 1181. #4942 | C23 | semidirect |
| 1182. Dic3×C22⋊C4 | C23 | semidirect |
| 1183. Dic3×C22⋊C4 | C23 | semidirect |
| 1184. Dic3×C22⋊C4 | C23 | semidirect |
| 1185. Dic3×C22⋊C4 | C23 | semidirect |
| 1186. Dic3×C22⋊C4 | C23 | semidirect |
| 1187. Dic3×C22⋊C4 | C23 | semidirect |
| 1188. Dic3×C22⋊C4 | C23 | semidirect |
| 1189. Dic3×C22⋊C4 | C23 | semidirect |
| 1190. #4940 | C23 | semidirect |
| 1191. #4940 | C23 | semidirect |
| 1192. #4940 | C23 | semidirect |
| 1193. #4939 | C23 | semidirect |
| 1194. #4939 | C23 | semidirect |
| 1195. #4939 | C23 | semidirect |
| 1196. #4939 | C23 | semidirect |
| 1197. #4939 | C23 | semidirect |
| 1198. #4939 | C23 | semidirect |
| 1199. #4939 | C23 | semidirect |
| 1200. C4×(C2×D3)⋊C4 | C23 | semidirect |
| 1201. C4×(C2×D3)⋊C4 | C23 | semidirect |
| 1202. C4×(C2×D3)⋊C4 | C23 | semidirect |
| 1203. C4×(C2×D3)⋊C4 | C23 | semidirect |
| 1204. C4×(C2×D3)⋊C4 | C23 | semidirect |
| 1205. C4×(C2×D3)⋊C4 | C23 | semidirect |
| 1206. C4×(C2×D3)⋊C4 | C23 | semidirect |
| 1207. C4×(C2×D3)⋊C4 | C23 | semidirect |
| 1208. C4×C4⋊Dic3 | C23 | semidirect |
| 1209. C4×Dic3⋊C4 | C23 | semidirect |
| 1210. #4929 | C23 | semidirect |
| 1211. #4928 | C23 | semidirect |
| 1212. #4928 | C23 | semidirect |
| 1213. #4677 | C23 | semidirect |
| 1214. #4676 | C23 | semidirect |
| 1215. #4675 | C23 | semidirect |
| 1216. #4675 | C23 | semidirect |
| 1217. #4674 | C23 | semidirect |
| 1218. #4672 | C23 | semidirect |
| 1219. #4672 | C23 | semidirect |
| 1220. #4672 | C23 | semidirect |
| 1221. #4672 | C23 | semidirect |
| 1222. #4672 | C23 | semidirect |
| 1223. #4672 | C23 | semidirect |
| 1224. #4671 | C23 | semidirect |
| 1225. #4671 | C23 | semidirect |
| 1226. #4671 | C23 | semidirect |
| 1227. #4671 | C23 | semidirect |
| 1228. #4671 | C23 | semidirect |
| 1229. #4671 | C23 | semidirect |
| 1230. #4670 | C23 | semidirect |
| 1231. #4670 | C23 | semidirect |
| 1232. #4670 | C23 | semidirect |
| 1233. #4669 | C23 | semidirect |
| 1234. #4669 | C23 | semidirect |
| 1235. #4669 | C23 | semidirect |
| 1236. #4668 | C23 | semidirect |
| 1237. #4668 | C23 | semidirect |
| 1238. #4668 | C23 | semidirect |
| 1239. #4668 | C23 | semidirect |
| 1240. #4668 | C23 | semidirect |
| 1241. #4668 | C23 | semidirect |
| 1242. #4668 | C23 | semidirect |
| 1243. #4668 | C23 | semidirect |
| 1244. #4667 | C23 | semidirect |
| 1245. #4667 | C23 | semidirect |
| 1246. #4667 | C23 | semidirect |
| 1247. #4667 | C23 | semidirect |
| 1248. #4667 | C23 | semidirect |
| 1249. #4666 | C23 | semidirect |
| 1250. #4666 | C23 | semidirect |
| 1251. #4666 | C23 | semidirect |
| 1252. #4666 | C23 | semidirect |
| 1253. #4666 | C23 | semidirect |
| 1254. #4666 | C23 | semidirect |
| 1255. #4666 | C23 | semidirect |
| 1256. #4666 | C23 | semidirect |
| 1261. #4665 | C23 | semidirect |
| 1262. #4665 | C23 | semidirect |
| 1263. #4665 | C23 | semidirect |
| 1264. #4665 | C23 | semidirect |
| 1265. #4665 | C23 | semidirect |
| 1266. #4665 | C23 | semidirect |
| 1267. #4665 | C23 | semidirect |
| 1268. #4665 | C23 | semidirect |
| 1269. #4665 | C23 | semidirect |
| 1270. #4665 | C23 | semidirect |
| 1271. #4665 | C23 | semidirect |
| 1272. #4665 | C23 | semidirect |
| 1273. #4665 | C23 | semidirect |
| 1274. #4665 | C23 | semidirect |
| 1275. #4665 | C23 | semidirect |
| 1276. #4665 | C23 | semidirect |
| 1289. #4661 | C23 | semidirect |
| 1290. #4657 | C23 | semidirect |
| 1291. #4657 | C23 | semidirect |
| 1292. #4649 | C23 | semidirect |
| 1293. #4647 | C23 | semidirect |
| 1294. #4647 | C23 | semidirect |
| 1295. #4646 | C23 | semidirect |
| 1296. #4646 | C23 | semidirect |
| 1297. C2×#546 | C2×D3 | semidirect |
| 1298. C2×D42 | C2×D3 | semidirect |
| 1299. C2×#525 | C2×D3 | semidirect |
| 1300. C22×#121 | C2×D3 | semidirect |
| 1301. #2678 | C2×D3 | semidirect |
| 1302. #2671 | C2×D3 | semidirect |
| 1303. #2540 | C2×D3 | semidirect |
| 1304. #2464 | C2×D3 | semidirect |
| 1305. #2435 | C2×D3 | semidirect |
| 1306. #2431 | C2×D3 | semidirect |
| 1307. #2428 | C2×D3 | semidirect |
| 1308. #2427 | C2×D3 | semidirect |
| 1309. #2424 | C2×D3 | semidirect |
| 1310. #2418 | C2×D3 | semidirect |
| 1311. #2417 | C2×D3 | semidirect |
| 1312. #2414 | C2×D3 | semidirect |
| 1313. #2408 | C2×D3 | semidirect |
| 1314. #2408 | C2×D3 | semidirect |
| 1315. #2403 | C2×D3 | semidirect |
| 1316. #2363 | C2×D3 | semidirect |
| 1317. #2361 | C2×D3 | semidirect |
| 1318. D4×C22⋊C4 | C2×D3 | semidirect |
| 1319. C4×#120 | C2×D3 | semidirect |
| 1415. C2×D3×D4 | C2×D4 | semidirect |
| 1416. C2×D3×D4 | C2×D4 | semidirect |
| 1417. C2×D3×D4 | #41 | semidirect |
| 1437. C22×C4×D3 | C2×D4 | semidirect |
| 1478. C3×#121 | C2×D4 | semidirect |
| 1479. C3×#121 | C2×D4 | semidirect |
| 1570. #939 | C2×D4 | semidirect |
| 1571. #939 | C2×D4 | semidirect |
| 1572. #938 | C2×D4 | semidirect |
| 1573. #938 | C2×D4 | semidirect |
| 1574. #930 | C2×D4 | semidirect |
| 1575. #930 | C2×D4 | semidirect |
| 1698. #895 | C2×D4 | semidirect |
| 1699. #895 | C2×D4 | semidirect |
| 1700. D3×C4⋊C4 | C2×D4 | semidirect |
| 1701. D3×C4⋊C4 | C2×D4 | semidirect |
| 1702. #884 | C2×D4 | semidirect |
| 1703. #884 | C2×D4 | semidirect |
| 1704. D3×C22⋊C4 | C2×D4 | semidirect |
| 1705. D3×C22⋊C4 | C2×D4 | semidirect |
| 1754. C22×#41 | C22×D3 | semidirect |
| 1757. C23×D4 | C22×D3 | semidirect |
| 1758. C23×D4 | C22×D3 | semidirect |
| 1759. C24×C4 | C22×D3 | semidirect |
| 1760. C2×#127 | C22×D3 | semidirect |
| 1761. C2×#124 | C22×D3 | semidirect |
| 1762. C2×#124 | C22×D3 | semidirect |
| 1763. C2×#123 | C22×D3 | semidirect |
| 1764. C2×#123 | C22×D3 | semidirect |
| 1765. C2×C22⋊Q8 | C22×D3 | semidirect |
| 1766. C2×C22⋊Q8 | C22×D3 | semidirect |
| 1767. C2×C22⋊Q8 | C22×D3 | semidirect |
| 1771. C2×#121 | C22×D3 | semidirect |
| 1772. C2×#121 | C22×D3 | semidirect |
| 1773. C2×#121 | C22×D3 | semidirect |
| 1774. C2×#121 | C22×D3 | semidirect |
| 1775. C2×#121 | C22×D3 | semidirect |
| 1776. C2×#121 | C22×D3 | semidirect |
| 1777. C2×#121 | C22×D3 | semidirect |
| 1778. C2×#121 | C22×D3 | semidirect |
| 1779. C2×#121 | C22×D3 | semidirect |
| 1782. C2×#120 | C22×D3 | semidirect |
| 1783. C2×#120 | C22×D3 | semidirect |
| 1784. C2×#120 | C22×D3 | semidirect |
| 1785. C2×#120 | C22×D3 | semidirect |
| 1787. C2×C4×D4 | C22×D3 | semidirect |
| 1788. C2×C4×D4 | C22×D3 | semidirect |
| 1789. C2×C4×D4 | C22×D3 | semidirect |
| 1790. C2×C4×D4 | C22×D3 | semidirect |
| 1791. C2×C4×D4 | C22×D3 | semidirect |
| 1792. C2×C4×D4 | C22×D3 | semidirect |
| 1793. C2×C4×D4 | C22×D3 | semidirect |
| 1794. C2×#117 | C22×D3 | semidirect |
| 1795. C22×C4⋊C4 | C22×D3 | semidirect |
| 1796. C22×C22⋊C4 | C22×D3 | semidirect |
| 1797. C22×C22⋊C4 | C22×D3 | semidirect |
| 1798. #399 | C22×D3 | semidirect |
| 1799. #398 | C22×D3 | semidirect |
| 1800. #397 | C22×D3 | semidirect |
| 1801. #396 | C22×D3 | semidirect |
| 1802. #394 | C22×D3 | semidirect |
| 1803. #394 | C22×D3 | semidirect |
| 1804. #394 | C22×D3 | semidirect |
| 1805. #394 | C22×D3 | semidirect |
| 1806. #394 | C22×D3 | semidirect |
| 1807. #394 | C22×D3 | semidirect |
| 1808. #392 | C22×D3 | semidirect |
| 1809. #392 | C22×D3 | semidirect |
| 1810. #392 | C22×D3 | semidirect |
| 1811. #392 | C22×D3 | semidirect |
| 1812. #392 | C22×D3 | semidirect |
| 1813. #392 | C22×D3 | semidirect |
| 1814. #391 | C22×D3 | semidirect |
| 1815. #390 | C22×D3 | semidirect |
| 1816. #390 | C22×D3 | semidirect |
| 1817. #390 | C22×D3 | semidirect |
| 1818. #390 | C22×D3 | semidirect |
| 1819. #390 | C22×D3 | semidirect |
| 1820. #390 | C22×D3 | semidirect |
| 1821. #390 | C22×D3 | semidirect |
| 1822. #389 | C22×D3 | semidirect |
| 1823. #389 | C22×D3 | semidirect |
| 1824. #388 | C22×D3 | semidirect |
| 1825. #388 | C22×D3 | semidirect |
| 1826. #388 | C22×D3 | semidirect |
| 1829. #386 | C22×D3 | semidirect |
| 1830. #386 | C22×D3 | semidirect |
| 1831. #386 | C22×D3 | semidirect |
| 1832. #386 | C22×D3 | semidirect |
| 1833. #386 | C22×D3 | semidirect |
| 1834. #386 | C22×D3 | semidirect |
| 1835. #386 | C22×D3 | semidirect |
| 1836. #386 | C22×D3 | semidirect |
| 1837. #385 | C22×D3 | semidirect |
| 1838. #385 | C22×D3 | semidirect |
| 1839. #385 | C22×D3 | semidirect |
| 1840. #385 | C22×D3 | semidirect |
| 1841. #380 | C22×D3 | semidirect |
| 1842. #380 | C22×D3 | semidirect |
| 1843. #380 | C22×D3 | semidirect |
| 1844. #379 | C22×D3 | semidirect |
| 1845. #379 | C22×D3 | semidirect |
| 1846. #379 | C22×D3 | semidirect |
| 1847. #379 | C22×D3 | semidirect |
| 1848. C4×C4⋊C4 | C22×D3 | semidirect |
| 1849. C4×C22⋊C4 | C22×D3 | semidirect |
| 1850. C4×C22⋊C4 | C22×D3 | semidirect |
| 1851. C4×C22⋊C4 | C22×D3 | semidirect |
| 1852. C4×C22⋊C4 | C22×D3 | semidirect |
| 1878. C2×C3×D4 | C22×D4 | semidirect |
| 1879. C2×C3×D4 | C22×D4 | semidirect |
| 1880. C2×C3×D4 | C2×#41 | semidirect |
| 1882. C22×C3×C4 | C22×D4 | semidirect |
| 1902. C2×#67 | C22×D4 | semidirect |
| 1903. C2×#67 | C22×D4 | semidirect |
| 1904. C2×#67 | C22×D4 | semidirect |
| 1905. C2×#67 | C2×#41 | semidirect |
| 1906. C2×#67 | C2×#41 | semidirect |
| 1908. C22×Dic3 | C22×D4 | semidirect |
| 1927. C2×D12 | C22×D4 | semidirect |
| 1928. C2×D12 | C22×D4 | semidirect |
| 1929. C2×D12 | C2×#41 | semidirect |
| 1938. C2×C4×D3 | C22×D4 | semidirect |
| 1939. C2×C4×D3 | C22×D4 | semidirect |
| 1942. C3×C4⋊C4 | C22×D4 | semidirect |
| 1943. C3×C4⋊C4 | C22×D4 | semidirect |
| 1944. C3×C22⋊C4 | C22×D4 | semidirect |
| 1945. C3×C22⋊C4 | C22×D4 | semidirect |
| 1946. #217 | C22×D4 | semidirect |
| 1947. #217 | C22×D4 | semidirect |
| 1948. (C2×D3)⋊C4 | C22×D4 | semidirect |
| 1949. (C2×D3)⋊C4 | C22×D4 | semidirect |
| 1950. (C2×D3)⋊C4 | C22×D4 | semidirect |
| 1951. (C2×D3)⋊C4 | C22×D4 | semidirect |
| 1952. C4⋊Dic3 | C22×D4 | semidirect |
| 1953. C4⋊Dic3 | C22×D4 | semidirect |
| 1954. Dic3⋊C4 | C22×D4 | semidirect |
| 1955. Dic3⋊C4 | C22×D4 | semidirect |
| 1989. #121 | D3×D4 | semidirect |
| 1990. #121 | D3×D4 | semidirect |
| 2066. C22×D3 | #546 | semidirect |
| 2108. C2×D4 | C2×D3×D4 | semidirect |
| 2109. C2×D4 | C2×D3×D4 | semidirect |
| 2110. C2×D4 | D3×#41 | semidirect |
| 2112. C22×C4 | C2×D3×D4 | semidirect |
| 2129. C4⋊C4 | C2×D3×D4 | semidirect |
| 2130. C4⋊C4 | C2×D3×D4 | semidirect |
| 2131. C22⋊C4 | C2×D3×D4 | semidirect |
| 2132. C22⋊C4 | C2×D3×D4 | semidirect |
| 2133. C22×C3 | C2×#546 | semidirect |
| 2143. C2×D3 | C2×#546 | semidirect |
| 2175. D3 | #59004 | direct (N × H) |
| 2176. C22 | D3×#546 | semidirect |
| 2185. C3 | C2×#59004 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.