Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
444 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 444 conjugacy classes of subgroups — too many to draw. Only its 119 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. #23752764 | C2 | semidirect |
| 3. #23752547 | C2 | semidirect |
| 4. #23752491 | C2 | semidirect |
| 5. #23752416 | C2 | semidirect |
| 8. #23752315 | C2 | semidirect |
| 9. #23752311 | C2 | semidirect |
| 10. #23752266 | C2 | semidirect |
| 11. #484×C151 | C2 | semidirect |
| 16. #18012738 | C22 | semidirect |
| 17. #18012737 | C22 | semidirect |
| 21. Q8×Dic151 | C22 | semidirect |
| 23. #18012704 | C22 | semidirect |
| 31. #18012672 | C22 | semidirect |
| 32. Dic151⋊C8 | C22 | semidirect |
| 33. #18012662 | C22 | semidirect |
| 37. #18012649 | C22 | semidirect |
| 40. #107×C151 | C22 | semidirect |
| 41. #103×C151 | C22 | semidirect |
| 136. C151 | #3110 | semidirect |
| 141. #484 | D151 | semidirect |
| 171. #107 | C2×D151 | semidirect |
| 174. #103 | C2×D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752764 | 2 |
| C2×#18012701 | 2 |
| #23752547 | 2 |
| #23752491 | 2 |
| #23752416 | 2 |
| #23752365 | 2 |
| #23752362 | 2 |
| #23752315 | 2 |
| #23752311 | 2 |
| #23752266 | 2 |
| #484×C151 | 2 |
| #3110 | 151 |