Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 113 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. #23752603 | C2 | semidirect |
| 4. #23752570 | C2 | semidirect |
| 5. #23752433 | C2 | semidirect |
| 6. #23752432 | C2 | semidirect |
| 7. #23752370 | C2 | semidirect |
| 8. #23752367 | C2 | semidirect |
| 10. #23752266 | C2 | semidirect |
| 13. C2×Dic604 | C22 | semidirect |
| 14. C2×#14558994 | C22 | semidirect |
| 16. #18012738 | C22 | semidirect |
| 17. #18012737 | C22 | semidirect |
| 25. Q8×Dic151 | C22 | semidirect |
| 27. #18012704 | C22 | semidirect |
| 32. Dic151⋊C8 | C22 | semidirect |
| 33. #18012664 | C22 | semidirect |
| 34. #18012662 | C22 | semidirect |
| 37. #18012649 | C22 | semidirect |
| 139. C151 | #3215 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752764 | 2 |
| C2×#18012726 | 2 |
| #23752603 | 2 |
| #23752570 | 2 |
| #23752433 | 2 |
| #23752432 | 2 |
| #23752370 | 2 |
| #23752367 | 2 |
| #23752363 | 2 |
| #23752266 | 2 |
| #450×C151 | 2 |
| #3215 | 151 |