Finite Group DatabasebetaFinite Group Databasebeta← AGL(1,ℤ/8)×B(4,𝔽2) #72313109
Order 2048.
At least 10562 conjugacy classes of subgroups; only the 4542 normal subgroups are shown.
The subgroup lattice has 987 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. #72313097 | C2 | semidirect |
| 2. M16×B(4,𝔽2) | C2 | semidirect |
| 3. #72313087 | C2 | semidirect |
| 4. #72313082 | C2 | semidirect |
| 5. #72313079 | C2 | semidirect |
| 6. #72313072 | C2 | semidirect |
| 7. #72313069 | C2 | semidirect |
| 8. #72313064 | C2 | semidirect |
| 9. #72313062 | C2 | semidirect |
| 10. #99×AGL(1,ℤ/8) | C2 | semidirect |
| 11. #72313059 | C2 | semidirect |
| 12. #72313057 | C2 | semidirect |
| 13. #41×B(4,𝔽2) | C2 | semidirect |
| 14. #72281249 | C2 | semidirect |
| 15. D8×B(4,𝔽2) | C2 | semidirect |
| 16. #72268322 | C2 | semidirect |
| 17. AGL(1,ℤ/8)×H(5,𝔽2) | C2 | semidirect |
| 18. #72257733 | C2 | semidirect |
| 19. #120×AGL(1,ℤ/8) | C2 | semidirect |
| 20. SD16×B(4,𝔽2) | C2 | semidirect |
| 21. C2×D4×B(4,𝔽2) | C2 | semidirect |
| 22. #72226680 | C2 | semidirect |
| 23. #72214295 | C2 | semidirect |
| 24. C24×AGL(1,ℤ/8) | C22 | semidirect |
| 25. #41×H(5,𝔽2) | C22 | semidirect |
| 26. C2×D4×H(5,𝔽2) | C22 | semidirect |
| 27. #10583024 | C22 | semidirect |
| 28. #10583022 | C22 | semidirect |
| 29. SD16×H(5,𝔽2) | C22 | semidirect |
| 30. D8×H(5,𝔽2) | C22 | semidirect |
| 31. #10577652 | C22 | semidirect |
| 32. #10577308 | C22 | semidirect |
| 33. #10577301 | C22 | semidirect |
| 35. M16×H(5,𝔽2) | C22 | semidirect |
| 36. #41×#120 | C22 | semidirect |
| 37. C2×D4×#120 | C22 | semidirect |
| 38. #6629386 | C22 | semidirect |
| 39. #6629007 | C22 | semidirect |
| 40. C2×#32926 | C22 | semidirect |
| 41. #6628845 | C22 | semidirect |
| 42. #6628842 | C22 | semidirect |
| 43. #6627247 | C22 | semidirect |
| 44. Q8×B(4,𝔽2) | C22 | semidirect |
| 45. #6617478 | C22 | semidirect |
| 46. #6617366 | C22 | semidirect |
| 47. #6596184 | C22 | semidirect |
| 48. #6595772 | C22 | semidirect |
| 49. #6591500 | C22 | semidirect |
| 51. D4×B(4,𝔽2) | C22 | semidirect |
| 52. D4×B(4,𝔽2) | C22 | semidirect |
| 53. D4×B(4,𝔽2) | C22 | semidirect |
| 54. D4×B(4,𝔽2) | C22 | semidirect |
| 55. #6573502 | C22 | semidirect |
| 56. #6573500 | C22 | semidirect |
| 57. #6573487 | C22 | semidirect |
| 58. #6573485 | C22 | semidirect |
| 59. #6573480 | C22 | semidirect |
| 60. #6573477 | C22 | semidirect |
| 61. SD16×#120 | C22 | semidirect |
| 62. D8×#120 | C22 | semidirect |
| 63. #6454869 | C22 | semidirect |
| 64. #6454041 | C22 | semidirect |
| 65. C2×#25771 | C22 | semidirect |
| 66. #6443244 | C22 | semidirect |
| 67. #6442768 | C22 | semidirect |
| 68. C2×#24260 | C22 | semidirect |
| 69. #6437684 | C22 | semidirect |
| 70. #6437680 | C22 | semidirect |
| 71. #6437518 | C22 | semidirect |
| 72. #6437510 | C22 | semidirect |
| 73. #41×#99 | C22 | semidirect |
| 74. C22⋊C4×AGL(1,ℤ/8) | C22 | semidirect |
| 75. C2×D4×#99 | C22 | semidirect |
| 76. M16×#120 | C22 | semidirect |
| 78. #6346599 | C22 | semidirect |
| 79. #6346596 | C22 | semidirect |
| 80. #348119 | C22 | semidirect |
| 81. #348118 | C22 | semidirect |
| 82. #348099 | C22 | semidirect |
| 83. #348098 | C22 | semidirect |
| 84. #346526 | C22 | semidirect |
| 85. #346526 | C22 | semidirect |
| 86. #346521 | C22 | semidirect |
| 87. #346520 | C22 | semidirect |
| 88. #346519 | C22 | semidirect |
| 89. #346518 | C22 | semidirect |
| 90. #346518 | C22 | semidirect |
| 91. #346518 | C22 | semidirect |
| 92. #301921 | C22 | semidirect |
| 93. #301918 | C22 | semidirect |
| 94. #301896 | C22 | semidirect |
| 95. #301891 | C22 | semidirect |
| 96. #301866 | C22 | semidirect |
| 97. #301861 | C22 | semidirect |
| 98. #267443 | C22 | semidirect |
| 99. #267435 | C22 | semidirect |
| 100. #267423 | C22 | semidirect |
| 101. #267419 | C22 | semidirect |
| 102. #267391 | C22 | semidirect |
| 103. #267387 | C22 | semidirect |
| 104. #267379 | C22 | semidirect |
| 105. #267379 | C22 | semidirect |
| 106. #267375 | C22 | semidirect |
| 107. #267371 | C22 | semidirect |
| 108. #267371 | C22 | semidirect |
| 109. #267371 | C22 | semidirect |
| 110. #265272 | C22 | semidirect |
| 111. #265268 | C22 | semidirect |
| 112. #265240 | C22 | semidirect |
| 113. #265237 | C22 | semidirect |
| 114. #265230 | C22 | semidirect |
| 115. #265227 | C22 | semidirect |
| 116. #248560 | C22 | semidirect |
| 117. #248557 | C22 | semidirect |
| 118. #248555 | C22 | semidirect |
| 119. #248552 | C22 | semidirect |
| 120. #248551 | C22 | semidirect |
| 121. #248551 | C22 | semidirect |
| 122. #248465 | C22 | semidirect |
| 123. #248462 | C22 | semidirect |
| 124. #248458 | C22 | semidirect |
| 125. #248456 | C22 | semidirect |
| 126. #248456 | C22 | semidirect |
| 127. #248455 | C22 | semidirect |
| 128. #248455 | C22 | semidirect |
| 129. #248455 | C22 | semidirect |
| 130. #239387 | C22 | semidirect |
| 131. #235099 | C22 | semidirect |
| 132. #235097 | 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. #208814 | C22 | semidirect |
| 141. #208812 | C22 | semidirect |
| 142. #208806 | C22 | semidirect |
| 143. C8×B(4,𝔽2) | C22 | semidirect |
| 144. #205799 | C22 | semidirect |
| 145. #201386 | C22 | semidirect |
| 146. #201384 | 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. C24×#41 | C23 | semidirect |
| 159. C25×D4 | C23 | semidirect |
| 160. C23×AGL(1,ℤ/8) | D4 | semidirect |
| 162. C23×AGL(1,ℤ/8) | C23 | semidirect |
| 163. C23×AGL(1,ℤ/8) | C23 | semidirect |
| 164. C23×AGL(1,ℤ/8) | C23 | semidirect |
| 165. C23×AGL(1,ℤ/8) | C23 | semidirect |
| 166. C23×AGL(1,ℤ/8) | C23 | semidirect |
| 167. C24×SD16 | C23 | semidirect |
| 168. C24×D8 | C23 | semidirect |
| 169. C24×M16 | C23 | semidirect |
| 170. #62984 | C23 | semidirect |
| 171. #62983 | C23 | semidirect |
| 172. Q8×H(5,𝔽2) | C23 | semidirect |
| 175. D4×H(5,𝔽2) | C23 | semidirect |
| 181. #62253 | C23 | semidirect |
| 182. #62245 | C23 | semidirect |
| 183. #62243 | C23 | semidirect |
| 184. #61572 | C23 | semidirect |
| 186. #61569 | C23 | semidirect |
| 187. #61562 | C23 | semidirect |
| 190. #61559 | C23 | semidirect |
| 193. C2×#3274 | D4 | semidirect |
| 194. C2×#3272 | D4 | semidirect |
| 195. C2×#3265 | D4 | semidirect |
| 197. C2×#3264 | D4 | semidirect |
| 200. C2×#3151 | D4 | semidirect |
| 201. C2×#3055 | D4 | semidirect |
| 203. C2×#3038 | D4 | semidirect |
| 204. C2×#3036 | D4 | semidirect |
| 206. C2×#3006 | D4 | semidirect |
| 208. C2×#3006 | C23 | semidirect |
| 209. C2×#3003 | D4 | semidirect |
| 211. C2×#3003 | C23 | semidirect |
| 212. #60309 | C23 | semidirect |
| 213. C8×H(5,𝔽2) | C23 | semidirect |
| 215. C2×C4×AGL(1,ℤ/8) | D4 | semidirect |
| 217. #36614 | C23 | semidirect |
| 218. C2×#2847 | C23 | semidirect |
| 219. #36575 | C23 | semidirect |
| 220. Q8×#120 | C23 | semidirect |
| 221. #36429 | C23 | semidirect |
| 222. #36428 | C23 | semidirect |
| 223. #36213 | C23 | semidirect |
| 224. #36212 | C23 | semidirect |
| 225. #36152 | C23 | semidirect |
| 228. D4×#120 | C23 | semidirect |
| 229. D4×#120 | C23 | semidirect |
| 230. D4×#120 | C23 | semidirect |
| 231. #34738 | C23 | semidirect |
| 233. C2×#2433 | C23 | semidirect |
| 235. C22⋊C4×#41 | C23 | semidirect |
| 236. C2×D4×C22⋊C4 | C23 | semidirect |
| 238. #32975 | C23 | semidirect |
| 239. #32975 | C23 | semidirect |
| 240. #32936 | C23 | semidirect |
| 241. #32935 | C23 | semidirect |
| 242. #32930 | C23 | semidirect |
| 243. #32929 | C23 | semidirect |
| 246. #32926 | C23 | semidirect |
| 247. #32926 | C23 | semidirect |
| 248. #32881 | C23 | semidirect |
| 249. #32881 | C23 | semidirect |
| 250. #32880 | C23 | semidirect |
| 251. #32880 | C23 | semidirect |
| 252. #32879 | C23 | semidirect |
| 253. #32878 | C23 | semidirect |
| 254. #32878 | C23 | semidirect |
| 255. #32878 | C23 | semidirect |
| 256. #25947 | C23 | semidirect |
| 257. #25899 | C23 | semidirect |
| 258. #25852 | C23 | semidirect |
| 259. #25788 | C23 | semidirect |
| 260. #25783 | C23 | semidirect |
| 261. #25779 | C23 | semidirect |
| 262. #25774 | C23 | semidirect |
| 265. #25771 | C23 | semidirect |
| 266. #25771 | C23 | semidirect |
| 267. #25663 | C23 | semidirect |
| 268. #25585 | C23 | semidirect |
| 269. #24359 | C23 | semidirect |
| 270. #24358 | C23 | semidirect |
| 271. #24356 | C23 | semidirect |
| 272. #24356 | C23 | semidirect |
| 273. #24355 | C23 | semidirect |
| 274. #24354 | C23 | semidirect |
| 275. #24354 | C23 | semidirect |
| 276. #24354 | C23 | semidirect |
| 277. #24350 | C23 | semidirect |
| 278. #24350 | C23 | semidirect |
| 279. #24272 | C23 | semidirect |
| 280. #24269 | C23 | semidirect |
| 281. #24267 | C23 | semidirect |
| 282. #24264 | 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 |
| 291. #23858 | C23 | semidirect |
| 292. #23855 | C23 | semidirect |
| 293. #23851 | C23 | semidirect |
| 295. #23849 | C23 | semidirect |
| 297. #23848 | 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 |
| 320. #21441 | C23 | semidirect |
| 321. #21440 | C23 | semidirect |
| 322. #21439 | C23 | semidirect |
| 323. C8×#120 | C23 | semidirect |
| 324. #21420 | C23 | semidirect |
| 325. C2×#1964 | C23 | semidirect |
| 326. #20973 | C23 | semidirect |
| 327. #20971 | C23 | semidirect |
| 331. #20837 | C23 | semidirect |
| 333. #20661 | C23 | semidirect |
| 336. #20601 | 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. #18198 | C23 | semidirect |
| 344. #18196 | C23 | semidirect |
| 345. #18195 | C23 | semidirect |
| 346. #18195 | C23 | semidirect |
| 347. #18194 | C23 | semidirect |
| 348. #18194 | 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. #9949 | C23 | semidirect |
| 364. #9948 | C23 | semidirect |
| 365. #9947 | C23 | semidirect |
| 366. #9946 | 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. #9472 | C23 | semidirect |
| 374. #9472 | C23 | semidirect |
| 375. #9471 | C23 | semidirect |
| 376. #9468 | C23 | semidirect |
| 377. #9468 | C23 | semidirect |
| 378. #9468 | C23 | semidirect |
| 379. #9467 | 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 |
| 422. C23×#41 | C24 | semidirect |
| 423. C23×#41 | C24 | semidirect |
| 424. C24×Q8 | C24 | semidirect |
| 425. C24×D4 | C2×D4 | semidirect |
| 430. C24×D4 | C24 | semidirect |
| 438. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 439. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 440. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 441. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 442. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 443. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 444. C22×AGL(1,ℤ/8) | C2×D4 | semidirect |
| 445. C23×SD16 | C2×D4 | semidirect |
| 448. C23×SD16 | C24 | semidirect |
| 449. C23×SD16 | C24 | semidirect |
| 450. C23×D8 | C2×D4 | semidirect |
| 453. C23×D8 | C24 | semidirect |
| 454. C23×D8 | C24 | semidirect |
| 455. C23×M16 | C2×D4 | semidirect |
| 458. C23×M16 | C24 | semidirect |
| 459. C24×C8 | C24 | semidirect |
| 465. C2×#550 | C2×D4 | semidirect |
| 467. C2×#548 | C2×D4 | semidirect |
| 469. C2×#547 | C2×D4 | semidirect |
| 470. C2×#546 | C2×D4 | semidirect |
| 472. C2×D42 | C2×D4 | semidirect |
| 473. C2×D42 | C2×D4 | semidirect |
| 477. C2×#532 | C2×D4 | semidirect |
| 478. C22×#127 | C2×D4 | semidirect |
| 479. C2×#525 | C2×D4 | semidirect |
| 481. C22×#121 | C2×D4 | semidirect |
| 489. C2×C4×#41 | C2×D4 | semidirect |
| 490. C22×C4×D4 | C2×D4 | semidirect |
| 494. C2×#496 | C2×D4 | semidirect |
| 495. C2×#496 | C2×D4 | semidirect |
| 496. C2×#493 | C2×D4 | semidirect |
| 497. C2×#492 | C2×D4 | semidirect |
| 498. C2×#469 | C2×D4 | semidirect |
| 499. C2×#469 | C2×D4 | semidirect |
| 500. C2×#468 | C2×D4 | semidirect |
| 501. C2×#468 | C2×D4 | semidirect |
| 502. C2×#466 | C2×D4 | semidirect |
| 504. C2×#465 | C2×D4 | semidirect |
| 506. C2×#460 | C2×D4 | semidirect |
| 507. C2×#460 | C2×D4 | semidirect |
| 508. C2×#463 | C2×D4 | semidirect |
| 509. C2×#463 | C2×D4 | semidirect |
| 510. C2×#461 | C2×D4 | semidirect |
| 511. C2×#459 | C2×D4 | semidirect |
| 512. C2×#459 | C2×D4 | semidirect |
| 513. C2×#459 | C2×D4 | semidirect |
| 518. C2×#449 | C2×D4 | semidirect |
| 519. C2×#449 | C2×D4 | semidirect |
| 520. C2×#449 | C2×D4 | semidirect |
| 521. C2×#449 | C2×D4 | semidirect |
| 522. C2×#448 | C2×D4 | semidirect |
| 525. C2×#450 | C2×D4 | semidirect |
| 526. C2×#450 | C2×D4 | semidirect |
| 527. C2×#450 | C2×D4 | semidirect |
| 529. C2×#450 | C24 | semidirect |
| 530. C2×#447 | C2×D4 | semidirect |
| 531. C2×#447 | C2×D4 | semidirect |
| 532. C2×#447 | C2×D4 | semidirect |
| 533. C2×#447 | C2×D4 | semidirect |
| 537. C2×#447 | C24 | semidirect |
| 540. C2×#442 | C2×D4 | semidirect |
| 541. C2×#440 | C2×D4 | semidirect |
| 542. C2×C4×SD16 | C2×D4 | semidirect |
| 543. C2×C4×D8 | C2×D4 | semidirect |
| 544. C2×#436 | C2×D4 | semidirect |
| 545. C2×#435 | C2×D4 | semidirect |
| 548. C2×#428 | C2×D4 | semidirect |
| 549. C2×#423 | C2×D4 | semidirect |
| 550. C2×#417 | C2×D4 | semidirect |
| 551. C2×#417 | C2×D4 | semidirect |
| 552. C2×#417 | C2×D4 | semidirect |
| 553. C2×#418 | C2×D4 | semidirect |
| 554. C2×#418 | C2×D4 | semidirect |
| 555. C2×#418 | C2×D4 | semidirect |
| 558. C2×#407 | C2×D4 | 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. #2436 | C24 | semidirect |
| 569. #2435 | C24 | semidirect |
| 570. #2434 | C24 | semidirect |
| 573. #2433 | 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. #1808 | C24 | semidirect |
| 627. #1807 | C24 | semidirect |
| 637. #1787 | C24 | semidirect |
| 638. #1787 | C24 | semidirect |
| 641. #1786 | 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 |
| 686. C23×D4 | C22×D4 | semidirect |
| 715. C22×SD16 | C22×D4 | semidirect |
| 716. C22×SD16 | C22×D4 | semidirect |
| 717. C22×SD16 | C22×D4 | semidirect |
| 724. C22×D8 | C22×D4 | semidirect |
| 725. C22×D8 | C22×D4 | semidirect |
| 726. C22×D8 | C22×D4 | semidirect |
| 732. C22×M16 | C22×D4 | semidirect |
| 733. C23×C8 | C22×D4 | semidirect |
| 736. C2×C4⋊Q8 | C22×D4 | semidirect |
| 739. C2×#127 | C22×D4 | semidirect |
| 740. C2×#124 | C22×D4 | semidirect |
| 741. C2×#124 | C22×D4 | semidirect |
| 743. C2×C22⋊Q8 | C22×D4 | semidirect |
| 744. C2×C22⋊Q8 | C22×D4 | semidirect |
| 750. C2×#121 | C22×D4 | semidirect |
| 751. C2×#121 | C22×D4 | semidirect |
| 761. C2×C4×Q8 | C22×D4 | semidirect |
| 762. C2×C4×Q8 | C22×D4 | semidirect |
| 769. C2×C4×D4 | C22×D4 | semidirect |
| 770. C2×C4×D4 | C22×D4 | semidirect |
| 783. B(4,𝔽2) | AGL(1,ℤ/8) | direct (N × H) |
| 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 |
| 840. H(5,𝔽2) | C2×AGL(1,ℤ/8) | semidirect |
| 878. AGL(1,ℤ/8) | B(4,𝔽2) | direct (N × H) |
| 897. #120 | C2×AGL(1,ℤ/8) | semidirect |
| 921. #99 | C2×AGL(1,ℤ/8) | semidirect |
| 926. C24 | C22×AGL(1,ℤ/8) | semidirect |
| 928. #41 | C2×B(4,𝔽2) | semidirect |
| 931. C2×D4 | C2×B(4,𝔽2) | semidirect |
| 953. SD16 | C2×B(4,𝔽2) | semidirect |
| 954. D8 | C2×B(4,𝔽2) | semidirect |
| 955. M16 | C2×B(4,𝔽2) | semidirect |
| 958. C22⋊C4 | C22×AGL(1,ℤ/8) | semidirect |
| 961. C23 | D4×AGL(1,ℤ/8) | semidirect |
| 965. Q8 | C22×B(4,𝔽2) | semidirect |
| 967. D4 | C22×B(4,𝔽2) | semidirect |
| 972. C2×C4 | D4×AGL(1,ℤ/8) | semidirect |
| 975. C8 | C22×B(4,𝔽2) | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.