Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
994 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 994 conjugacy classes of subgroups — too many to draw. Only its 143 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C22×D4×D19 | C2 | semidirect |
| 2. C2×#10597357 | C2 | semidirect |
| 3. #11927054 | C2 | semidirect |
| 4. #11926697 | C2 | semidirect |
| 5. #11926696 | C2 | semidirect |
| 6. #11926695 | C2 | semidirect |
| 7. #11926677 | C2 | semidirect |
| 8. #11926676 | C2 | semidirect |
| 9. #11926547 | C2 | semidirect |
| 10. #11926506 | C2 | semidirect |
| 11. C19×#447 | C2 | semidirect |
| 15. C2×#64543 | C22 | semidirect |
| 23. C2×D8×C19 | C22 | semidirect |
| 24. C19×#121 | C22 | semidirect |
| 25. #10597384 | C22 | semidirect |
| 28. C2×#64526 | C22 | semidirect |
| 29. C2×#64525 | C22 | semidirect |
| 30. #10597370 | C22 | semidirect |
| 32. C2×#64516 | C22 | semidirect |
| 33. C2×#64515 | C22 | semidirect |
| 34. #10597343 | C22 | semidirect |
| 35. #10597338 | C22 | semidirect |
| 38. C19×#102 | C22 | semidirect |
| 39. C19×C22⋊C8 | C22 | semidirect |
| 40. #10597289 | C22 | semidirect |
| 41. C22⋊(C19⋊C8) | C22 | semidirect |
| 42. #10597278 | C22 | semidirect |
| 43. (C2×D19)⋊C8 | C22 | semidirect |
| 44. #10597266 | C22 | semidirect |
| 57. C2×D4×C19 | C23 | semidirect |
| 72. D4×D19 | D4 | semidirect |
| 81. C2×Dic38 | C23 | semidirect |
| 83. C2×C8×C19 | C23 | semidirect |
| 84. C4⋊C4×C19 | C23 | semidirect |
| 93. C4⋊Dic19 | C23 | semidirect |
| 96. C2×C19⋊C8 | C23 | semidirect |
| 160. C22×C19 | AGL(1,ℤ/8) | semidirect |
| 174. C2×D19 | AGL(1,ℤ/8) | semidirect |
| 190. #447 | D19 | semidirect |
| 217. C2×D8 | C2×D19 | semidirect |
| 223. #121 | C2×D19 | semidirect |
| 231. #102 | C2×D19 | semidirect |
| 234. C22⋊C8 | C2×D19 | semidirect |
| 235. C19 | #3003 | semidirect |
| 264. C2×D4 | C22×D19 | semidirect |
| 279. C2×C8 | C22×D19 | semidirect |
| 283. C4⋊C4 | C22×D19 | semidirect |
| 363. C22 | #10597357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D4×D19 | 2 |
| C2×#10597357 | 2 |
| #11927054 | 2 |
| #11926697 | 2 |
| #11926696 | 2 |
| #11926695 | 2 |
| #11926677 | 2 |
| #11926676 | 2 |
| #11926547 | 2 |
| #11926506 | 2 |
| C19×#447 | 2 |
| #3003 | 19 |