Finite Group DatabasebetaFinite Group DatabasebetaOrder 2048.
At least 9914 conjugacy classes of subgroups; only the 4502 normal subgroups are shown.
The subgroup lattice has 979 nodes (normal subgroups only) — too large to display as a diagram.
| subgroup | G/H | |
|---|---|---|
| center, socle | C22 | C2×D4×#120 |
| commutator, Frattini, cosocle | C23×C4 | C26 |
| LCS | G ▷ C23×C4 ▷ C22 ▷ C1 | |
| UCS | C1 ◁ C22 ◁ C24×C4 ◁ G | |
| LECS | G ▷ C23×C4 ▷ C22 ▷ C1 | |
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #72316289 | C2 | semidirect |
| 2. #72316281 | C2 | semidirect |
| 3. #72316279 | C2 | semidirect |
| 4. #72316270 | C2 | semidirect |
| 5. #72316256 | C2 | semidirect |
| 6. #72316253 | C2 | semidirect |
| 7. #72316252 | C2 | semidirect |
| 8. #72316091 | C2 | semidirect |
| 9. #72316071 | C2 | semidirect |
| 10. #72316027 | C2 | semidirect |
| 11. #72316004 | C2 | semidirect |
| 12. #72315965 | C2 | semidirect |
| 13. #72315953 | C2 | semidirect |
| 14. #72315859 | C2 | semidirect |
| 15. #72313062 | C2 | semidirect |
| 16. #99×AGL(1,ℤ/8) | C2 | semidirect |
| 17. #72306538 | C2 | semidirect |
| 18. #72283155 | C2 | semidirect |
| 19. #72282390 | C2 | semidirect |
| 20. #72281249 | C2 | semidirect |
| 21. AGL(1,ℤ/8)×H(5,𝔽2) | C2 | semidirect |
| 22. C2×D4×B(4,𝔽2) | C2 | semidirect |
| 23. #72214295 | C2 | semidirect |
| 24. #41×H(5,𝔽2) | C22 | semidirect |
| 26. #10583024 | C22 | semidirect |
| 27. #10583022 | C22 | semidirect |
| 28. SD16×H(5,𝔽2) | C22 | semidirect |
| 29. D8×H(5,𝔽2) | C22 | semidirect |
| 30. #10577652 | C22 | semidirect |
| 31. #10577308 | C22 | semidirect |
| 34. C22×#3003 | C22 | semidirect |
| 35. M16×H(5,𝔽2) | C22 | semidirect |
| 36. #7638525 | C22 | semidirect |
| 37. C2×D4×#120 | C22 | semidirect |
| 38. #6667550 | C22 | semidirect |
| 39. #6667544 | C22 | semidirect |
| 40. #6667526 | C22 | semidirect |
| 41. #6667520 | C22 | semidirect |
| 42. #6667490 | C22 | semidirect |
| 43. #6667484 | C22 | semidirect |
| 44. #6667466 | C22 | semidirect |
| 45. #6667460 | C22 | semidirect |
| 46. #6629387 | C22 | semidirect |
| 48. #6628842 | C22 | semidirect |
| 49. #6627251 | C22 | semidirect |
| 50. #6625594 | C22 | semidirect |
| 51. #6617483 | C22 | semidirect |
| 52. #6617370 | C22 | semidirect |
| 53. #6596199 | C22 | semidirect |
| 54. #6595786 | C22 | semidirect |
| 55. #6591514 | C22 | semidirect |
| 56. #6573723 | C22 | semidirect |
| 59. D4×B(4,𝔽2) | C22 | semidirect |
| 60. D4×B(4,𝔽2) | C22 | semidirect |
| 61. #6459758 | C22 | semidirect |
| 62. #6459356 | C22 | semidirect |
| 63. #6454870 | C22 | semidirect |
| 64. #6454041 | C22 | semidirect |
| 65. C2×#25771 | C22 | semidirect |
| 66. C2×#24260 | C22 | semidirect |
| 67. #6440505 | C22 | semidirect |
| 68. #6440417 | C22 | semidirect |
| 69. #6437684 | C22 | semidirect |
| 70. #6437518 | C22 | semidirect |
| 71. #6433040 | C22 | semidirect |
| 72. #6432836 | C22 | semidirect |
| 73. #41×#99 | C22 | semidirect |
| 74. C22⋊C4×AGL(1,ℤ/8) | C22 | semidirect |
| 75. C2×D4×#99 | C22 | semidirect |
| 76. #6375566 | C22 | semidirect |
| 78. #6346604 | C22 | semidirect |
| 79. #6346599 | C22 | semidirect |
| 80. #348126 | C22 | semidirect |
| 81. #348124 | C22 | semidirect |
| 82. #348106 | C22 | semidirect |
| 83. #348104 | C22 | semidirect |
| 84. #346542 | C22 | semidirect |
| 85. #346542 | C22 | semidirect |
| 86. #346534 | C22 | semidirect |
| 87. #346534 | C22 | semidirect |
| 88. #346521 | C22 | semidirect |
| 89. #346520 | C22 | semidirect |
| 90. #346519 | C22 | semidirect |
| 91. #346518 | C22 | semidirect |
| 92. #301941 | C22 | semidirect |
| 93. #301935 | C22 | semidirect |
| 94. #301913 | C22 | semidirect |
| 95. #301905 | C22 | semidirect |
| 96. #301887 | C22 | semidirect |
| 97. #301879 | C22 | semidirect |
| 98. #267443 | C22 | semidirect |
| 99. #267435 | C22 | semidirect |
| 100. #267424 | C22 | semidirect |
| 101. #267420 | C22 | semidirect |
| 102. #267392 | C22 | semidirect |
| 103. #267388 | C22 | semidirect |
| 104. #267379 | C22 | semidirect |
| 105. #267379 | C22 | semidirect |
| 106. #267376 | C22 | semidirect |
| 107. #267372 | C22 | semidirect |
| 108. #267371 | C22 | semidirect |
| 109. #267371 | C22 | semidirect |
| 110. #265280 | C22 | semidirect |
| 111. #265276 | C22 | semidirect |
| 112. #265260 | C22 | semidirect |
| 113. #265257 | C22 | semidirect |
| 114. #265250 | C22 | semidirect |
| 115. #265247 | C22 | semidirect |
| 116. #248608 | C22 | semidirect |
| 117. #248605 | C22 | semidirect |
| 118. #248603 | C22 | semidirect |
| 119. #248600 | C22 | semidirect |
| 120. #248551 | C22 | semidirect |
| 121. #248551 | C22 | semidirect |
| 122. #248513 | C22 | semidirect |
| 123. #248510 | C22 | semidirect |
| 124. #248506 | C22 | semidirect |
| 125. #248503 | C22 | semidirect |
| 126. #248456 | C22 | semidirect |
| 127. #248456 | C22 | semidirect |
| 128. #248455 | C22 | semidirect |
| 129. #248455 | C22 | semidirect |
| 130. #239387 | C22 | semidirect |
| 131. #235103 | C22 | semidirect |
| 132. #235099 | C22 | semidirect |
| 133. #234325 | C22 | semidirect |
| 134. SD16×#99 | C22 | semidirect |
| 135. D8×#99 | C22 | semidirect |
| 136. #220265 | C22 | semidirect |
| 137. #220264 | C22 | semidirect |
| 138. #220245 | C22 | semidirect |
| 139. #220244 | C22 | semidirect |
| 140. #208819 | C22 | semidirect |
| 141. #208817 | C22 | semidirect |
| 142. #208811 | C22 | semidirect |
| 143. #208809 | C22 | semidirect |
| 144. #205799 | C22 | semidirect |
| 145. #201387 | C22 | semidirect |
| 146. #201386 | C22 | semidirect |
| 147. #198416 | C22 | semidirect |
| 148. #198404 | C22 | semidirect |
| 149. #193892 | C22 | semidirect |
| 150. #192046 | C22 | semidirect |
| 151. #188814 | C22 | semidirect |
| 152. #185655 | C22 | semidirect |
| 153. #185643 | C22 | semidirect |
| 154. #185345 | C22 | semidirect |
| 155. #185339 | C22 | semidirect |
| 156. #184911 | C22 | semidirect |
| 157. M16×#99 | C22 | semidirect |
| 158. C25×D4 | C23 | semidirect |
| 159. C23×AGL(1,ℤ/8) | D4 | semidirect |
| 161. C23×AGL(1,ℤ/8) | C23 | semidirect |
| 162. #62984 | C23 | semidirect |
| 163. #62983 | C23 | semidirect |
| 164. Q8×H(5,𝔽2) | C23 | semidirect |
| 167. D4×H(5,𝔽2) | C23 | semidirect |
| 172. C22×#525 | C23 | semidirect |
| 174. #62253 | C23 | semidirect |
| 175. #62245 | C23 | semidirect |
| 176. #62243 | C23 | semidirect |
| 177. #61572 | C23 | semidirect |
| 179. #61569 | C23 | semidirect |
| 180. #61562 | C23 | semidirect |
| 183. #61559 | C23 | semidirect |
| 186. C2×#3274 | D4 | semidirect |
| 187. C2×#3272 | D4 | semidirect |
| 188. C2×#3265 | D4 | semidirect |
| 190. C2×#3264 | D4 | semidirect |
| 193. C2×#3151 | D4 | semidirect |
| 194. C2×#3094 | C23 | semidirect |
| 195. C2×#3055 | D4 | semidirect |
| 197. C2×#3038 | D4 | semidirect |
| 198. C2×#3036 | D4 | semidirect |
| 200. C2×#3006 | D4 | semidirect |
| 202. C2×#3003 | D4 | semidirect |
| 204. C2×#3003 | C23 | semidirect |
| 205. C22×#450 | C23 | semidirect |
| 206. C22×#450 | C23 | semidirect |
| 207. C22×#447 | C23 | semidirect |
| 208. C22×#447 | C23 | semidirect |
| 209. #60309 | C23 | semidirect |
| 210. C8×H(5,𝔽2) | C23 | semidirect |
| 212. C2×C4×AGL(1,ℤ/8) | D4 | semidirect |
| 214. C22×#418 | C23 | semidirect |
| 215. C22×#418 | C23 | semidirect |
| 216. C22×#407 | C23 | semidirect |
| 217. #39723 | C23 | semidirect |
| 218. #39595 | C23 | semidirect |
| 219. #39466 | C23 | semidirect |
| 220. #39338 | C23 | semidirect |
| 221. #39133 | C23 | semidirect |
| 222. #39121 | C23 | semidirect |
| 223. #38916 | C23 | semidirect |
| 224. #38904 | C23 | semidirect |
| 225. #36614 | C23 | semidirect |
| 226. C2×#2847 | C23 | semidirect |
| 229. D4×#120 | C23 | semidirect |
| 230. D4×#120 | C23 | semidirect |
| 231. #34810 | C23 | semidirect |
| 233. C2×#2433 | C23 | semidirect |
| 235. C22⋊C4×#41 | C23 | semidirect |
| 236. C2×D4×C22⋊C4 | C23 | semidirect |
| 238. #32976 | C23 | semidirect |
| 239. #32976 | C23 | semidirect |
| 240. #32927 | C23 | semidirect |
| 241. #32927 | C23 | semidirect |
| 244. #32881 | C23 | semidirect |
| 245. #32881 | C23 | semidirect |
| 246. #32878 | C23 | semidirect |
| 247. #32878 | C23 | semidirect |
| 248. #29735 | C23 | semidirect |
| 249. #29734 | C23 | semidirect |
| 250. #29732 | C23 | semidirect |
| 251. #29730 | C23 | semidirect |
| 252. #29595 | C23 | semidirect |
| 253. #29594 | C23 | semidirect |
| 254. #29593 | C23 | semidirect |
| 255. #29592 | C23 | semidirect |
| 256. #28344 | C23 | semidirect |
| 257. #28341 | C23 | semidirect |
| 258. #28332 | C23 | semidirect |
| 259. #28329 | C23 | semidirect |
| 260. #28107 | C23 | semidirect |
| 261. #28104 | C23 | semidirect |
| 262. #28097 | C23 | semidirect |
| 263. #28094 | C23 | semidirect |
| 264. #25948 | C23 | semidirect |
| 265. #25900 | C23 | semidirect |
| 266. #25853 | C23 | semidirect |
| 267. #25772 | C23 | semidirect |
| 270. #25771 | C23 | semidirect |
| 271. #25664 | C23 | semidirect |
| 272. #25586 | C23 | semidirect |
| 273. #24531 | C23 | semidirect |
| 274. #24530 | C23 | semidirect |
| 275. #24527 | C23 | semidirect |
| 276. #24526 | C23 | semidirect |
| 277. #24356 | C23 | semidirect |
| 278. #24356 | C23 | semidirect |
| 279. #24354 | C23 | semidirect |
| 280. #24354 | C23 | semidirect |
| 281. #24350 | C23 | semidirect |
| 282. #24350 | C23 | semidirect |
| 285. #24260 | C23 | semidirect |
| 286. #24260 | C23 | semidirect |
| 287. #24260 | C23 | semidirect |
| 288. #24260 | C23 | semidirect |
| 289. #24140 | C23 | semidirect |
| 290. #24140 | C23 | semidirect |
| 292. #24033 | C23 | semidirect |
| 294. #24032 | C23 | semidirect |
| 295. #23858 | C23 | semidirect |
| 296. #23855 | C23 | semidirect |
| 297. #23851 | C23 | semidirect |
| 298. #23848 | C23 | semidirect |
| 299. #22534 | C23 | semidirect |
| 300. Q8×#99 | C23 | semidirect |
| 301. Q8×#99 | C23 | semidirect |
| 302. #22476 | C23 | semidirect |
| 303. C22⋊C4×SD16 | C23 | semidirect |
| 304. C22⋊C4×D8 | C23 | semidirect |
| 305. #22437 | C23 | semidirect |
| 306. #22436 | C23 | semidirect |
| 309. D4×#99 | C23 | semidirect |
| 310. D4×#99 | C23 | semidirect |
| 311. D4×#99 | C23 | semidirect |
| 312. #22034 | C23 | semidirect |
| 313. #22032 | C23 | semidirect |
| 314. #22030 | C23 | semidirect |
| 315. #22028 | C23 | semidirect |
| 324. #21420 | C23 | semidirect |
| 325. C2×#1964 | C23 | semidirect |
| 326. #20973 | C23 | semidirect |
| 327. #20971 | C23 | semidirect |
| 331. #20837 | C23 | semidirect |
| 333. #20702 | C23 | semidirect |
| 334. #20661 | C23 | semidirect |
| 337. #20601 | C23 | semidirect |
| 338. #20598 | C23 | semidirect |
| 339. #20598 | C23 | semidirect |
| 340. #20579 | C23 | semidirect |
| 342. C22⋊C4×M16 | C23 | semidirect |
| 343. #18203 | C23 | semidirect |
| 344. #18203 | C23 | semidirect |
| 345. #18202 | C23 | semidirect |
| 346. #18202 | C23 | semidirect |
| 347. #18198 | C23 | semidirect |
| 348. #18196 | C23 | semidirect |
| 349. #18194 | C23 | semidirect |
| 350. #17592 | C23 | semidirect |
| 351. #17577 | C23 | semidirect |
| 353. #10565 | C23 | semidirect |
| 354. #10565 | C23 | semidirect |
| 355. #10564 | C23 | semidirect |
| 356. #10564 | C23 | semidirect |
| 357. #10322 | C23 | semidirect |
| 358. #10322 | C23 | semidirect |
| 359. #10320 | C23 | semidirect |
| 360. #10320 | C23 | semidirect |
| 361. #9954 | C23 | semidirect |
| 362. #9954 | C23 | semidirect |
| 363. #9953 | C23 | semidirect |
| 364. #9952 | C23 | semidirect |
| 365. #9951 | C23 | semidirect |
| 366. #9950 | C23 | semidirect |
| 367. #9946 | C23 | semidirect |
| 368. #9946 | C23 | semidirect |
| 369. #9786 | C23 | semidirect |
| 370. #9785 | C23 | semidirect |
| 371. #9783 | C23 | semidirect |
| 372. #9781 | C23 | semidirect |
| 373. #9474 | C23 | semidirect |
| 374. #9473 | C23 | semidirect |
| 375. #9472 | C23 | semidirect |
| 376. #9470 | C23 | semidirect |
| 377. #9469 | C23 | semidirect |
| 378. #9468 | C23 | semidirect |
| 379. #9468 | C23 | semidirect |
| 380. #9262 | C23 | semidirect |
| 381. #9262 | C23 | semidirect |
| 382. #9259 | C23 | semidirect |
| 383. #9259 | C23 | semidirect |
| 384. #9259 | C23 | semidirect |
| 385. #9259 | C23 | semidirect |
| 386. #9255 | C23 | semidirect |
| 387. #9255 | C23 | semidirect |
| 388. #8967 | C23 | semidirect |
| 389. #8967 | C23 | semidirect |
| 390. #8965 | C23 | semidirect |
| 391. #8965 | C23 | semidirect |
| 392. #8852 | C23 | semidirect |
| 393. #8851 | C23 | semidirect |
| 394. #8851 | C23 | semidirect |
| 395. #8610 | C23 | semidirect |
| 396. #8609 | C23 | semidirect |
| 397. #8608 | C23 | semidirect |
| 398. #8381 | C23 | semidirect |
| 399. #8379 | C23 | semidirect |
| 400. #8377 | C23 | semidirect |
| 403. #8375 | C23 | semidirect |
| 404. #8375 | C23 | semidirect |
| 405. #8352 | C23 | semidirect |
| 406. #8351 | C23 | semidirect |
| 407. #8350 | C23 | semidirect |
| 408. #8350 | C23 | semidirect |
| 409. #8350 | C23 | semidirect |
| 410. #8350 | C23 | semidirect |
| 411. #8316 | C23 | semidirect |
| 412. #8316 | C23 | semidirect |
| 413. #8161 | C23 | semidirect |
| 414. #8160 | C23 | semidirect |
| 415. C8×#99 | C23 | semidirect |
| 416. #7983 | C23 | semidirect |
| 417. #7929 | C23 | semidirect |
| 419. C23×#41 | C2×D4 | semidirect |
| 435. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 436. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 437. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 438. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 439. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 440. C23×SD16 | C2×D4 | semidirect |
| 442. C23×SD16 | C24 | semidirect |
| 443. C23×D8 | C2×D4 | semidirect |
| 445. C23×D8 | C24 | semidirect |
| 446. C23×M16 | C2×D4 | semidirect |
| 454. C2×#550 | C2×D4 | semidirect |
| 456. C2×#548 | C2×D4 | semidirect |
| 458. C2×#547 | C2×D4 | semidirect |
| 459. C2×#546 | C2×D4 | semidirect |
| 466. C2×#532 | C2×D4 | semidirect |
| 468. C2×#525 | C2×D4 | semidirect |
| 470. C22×C22⋊Q8 | C24 | semidirect |
| 471. C22×C22⋊Q8 | C24 | semidirect |
| 474. C22×#121 | C24 | semidirect |
| 475. C22×#121 | C24 | semidirect |
| 482. C2×C4×#41 | C2×D4 | semidirect |
| 488. C2×#496 | C2×D4 | semidirect |
| 489. C2×#496 | C2×D4 | semidirect |
| 490. C2×#493 | C2×D4 | semidirect |
| 491. C2×#492 | C2×D4 | semidirect |
| 494. C2×#469 | C2×D4 | semidirect |
| 495. C2×#469 | C2×D4 | semidirect |
| 496. C2×#468 | C2×D4 | semidirect |
| 497. C2×#468 | C2×D4 | semidirect |
| 498. C2×#466 | C2×D4 | semidirect |
| 500. C2×#465 | C2×D4 | semidirect |
| 502. C2×#460 | C2×D4 | semidirect |
| 503. C2×#460 | C2×D4 | semidirect |
| 504. C2×#463 | C2×D4 | semidirect |
| 505. C2×#463 | C2×D4 | semidirect |
| 506. C2×#461 | C2×D4 | semidirect |
| 507. C2×#459 | C2×D4 | semidirect |
| 508. C2×#459 | C2×D4 | semidirect |
| 509. C2×#459 | C2×D4 | semidirect |
| 514. C2×#449 | C2×D4 | semidirect |
| 515. C2×#449 | C2×D4 | semidirect |
| 516. C2×#449 | C2×D4 | semidirect |
| 517. C2×#449 | C2×D4 | semidirect |
| 518. C2×#448 | C2×D4 | semidirect |
| 521. C2×#450 | C2×D4 | semidirect |
| 522. C2×#450 | C2×D4 | semidirect |
| 524. C2×#450 | C24 | semidirect |
| 526. C2×#447 | C2×D4 | semidirect |
| 527. C2×#447 | C2×D4 | semidirect |
| 528. C2×#447 | C2×D4 | semidirect |
| 531. C2×#447 | C24 | semidirect |
| 534. C2×#442 | C2×D4 | semidirect |
| 535. C2×#440 | C2×D4 | semidirect |
| 536. C2×C4×SD16 | C2×D4 | semidirect |
| 537. C2×C4×D8 | C2×D4 | semidirect |
| 538. C2×#436 | C2×D4 | semidirect |
| 539. C2×#435 | C2×D4 | semidirect |
| 542. C2×#428 | C2×D4 | semidirect |
| 543. C2×#423 | C2×D4 | semidirect |
| 544. C2×#417 | C2×D4 | semidirect |
| 545. C2×#417 | C2×D4 | semidirect |
| 546. C2×#417 | C2×D4 | semidirect |
| 549. C2×#418 | C2×D4 | semidirect |
| 552. C22×#102 | C24 | semidirect |
| 553. C22×#102 | C24 | semidirect |
| 556. C2×#407 | C2×D4 | semidirect |
| 559. C22×C22⋊C8 | C24 | semidirect |
| 560. C22×C22⋊C8 | C24 | semidirect |
| 561. C2×C4×M16 | C2×D4 | semidirect |
| 562. #2848 | C24 | semidirect |
| 563. #2848 | C24 | semidirect |
| 566. #2847 | C24 | semidirect |
| 567. #2847 | C24 | semidirect |
| 568. #2504 | C24 | semidirect |
| 569. #2503 | C24 | semidirect |
| 570. #2502 | C24 | semidirect |
| 571. #2501 | C24 | semidirect |
| 580. Q8×C22⋊C4 | C24 | semidirect |
| 581. Q8×C22⋊C4 | C24 | semidirect |
| 584. D4×C22⋊C4 | C24 | semidirect |
| 585. D4×C22⋊C4 | C24 | semidirect |
| 600. #1996 | C24 | semidirect |
| 601. #1996 | C24 | semidirect |
| 604. #1964 | C24 | semidirect |
| 605. #1964 | C24 | semidirect |
| 608. #1893 | C24 | semidirect |
| 609. #1892 | C24 | semidirect |
| 624. #1850 | C24 | semidirect |
| 625. #1850 | C24 | semidirect |
| 626. #1824 | C24 | semidirect |
| 627. #1823 | C24 | semidirect |
| 628. #1808 | C24 | semidirect |
| 629. #1807 | C24 | semidirect |
| 639. #1787 | C24 | semidirect |
| 642. #1786 | C24 | semidirect |
| 643. #1786 | C24 | semidirect |
| 644. #1786 | C24 | semidirect |
| 645. #1779 | C24 | semidirect |
| 646. #1779 | C24 | semidirect |
| 653. #1752 | C24 | semidirect |
| 654. C8×C22⋊C4 | C24 | semidirect |
| 656. #1520 | C24 | semidirect |
| 659. #1519 | C24 | semidirect |
| 662. #1289 | C24 | semidirect |
| 663. #1289 | C24 | semidirect |
| 664. #1282 | C24 | semidirect |
| 665. #1282 | C24 | semidirect |
| 674. C22×#41 | C22×D4 | semidirect |
| 675. C22×#41 | C22×D4 | semidirect |
| 676. C23×Q8 | C22×D4 | semidirect |
| 685. C23×D4 | C22×D4 | semidirect |
| 713. C22×SD16 | C22×D4 | semidirect |
| 714. C22×SD16 | C22×D4 | semidirect |
| 715. C22×SD16 | C22×D4 | semidirect |
| 722. C22×D8 | C22×D4 | semidirect |
| 723. C22×D8 | C22×D4 | semidirect |
| 724. C22×D8 | C22×D4 | semidirect |
| 730. C22×M16 | C22×D4 | semidirect |
| 731. C23×C8 | C22×D4 | semidirect |
| 734. C2×C4⋊Q8 | C22×D4 | semidirect |
| 737. C2×#127 | C22×D4 | semidirect |
| 738. C2×#124 | C22×D4 | semidirect |
| 739. C2×#124 | C22×D4 | semidirect |
| 741. C2×C22⋊Q8 | C22×D4 | semidirect |
| 742. C2×C22⋊Q8 | C22×D4 | semidirect |
| 748. C2×#121 | C22×D4 | semidirect |
| 749. C2×#121 | C22×D4 | semidirect |
| 759. C2×C4×Q8 | C22×D4 | semidirect |
| 760. C2×C4×Q8 | C22×D4 | semidirect |
| 767. C2×C4×D4 | C22×D4 | semidirect |
| 768. C2×C4×D4 | C22×D4 | semidirect |
| 783. B(4,𝔽2) | AGL(1,ℤ/8) | semidirect |
| 784. C2×#107 | C22×D4 | semidirect |
| 785. C2×#106 | C22×D4 | semidirect |
| 786. C2×C4⋊C8 | C22×D4 | semidirect |
| 787. C2×C4⋊C8 | C22×D4 | semidirect |
| 788. C2×#103 | C22×D4 | semidirect |
| 789. C2×#103 | C22×D4 | semidirect |
| 790. C2×#103 | C22×D4 | semidirect |
| 795. C2×#102 | C22×D4 | semidirect |
| 796. C2×#102 | C22×D4 | semidirect |
| 797. C2×#102 | C22×D4 | semidirect |
| 798. C2×#102 | C22×D4 | semidirect |
| 799. C2×#102 | C22×D4 | semidirect |
| 807. C2×C22⋊C8 | C22×D4 | semidirect |
| 808. C2×C22⋊C8 | C22×D4 | semidirect |
| 811. C2×#97 | C22×D4 | semidirect |
| 812. C2×C4×C8 | C22×D4 | semidirect |
| 896. #120 | C2×AGL(1,ℤ/8) | semidirect |
| 920. #99 | C2×AGL(1,ℤ/8) | semidirect |
| 925. C24 | C22×AGL(1,ℤ/8) | semidirect |
| 929. C2×D4 | #3026 | semidirect |
| 953. C22⋊C4 | C22×AGL(1,ℤ/8) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.