Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
704 conjugacy classes of subgroups; only the 161 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 161 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. C2×#18012769 | C2 | semidirect |
| 2. #23752783 | C2 | semidirect |
| 3. #23752395 | C2 | semidirect |
| 4. #23752390 | C2 | semidirect |
| 5. #23752229 | C2 | semidirect |
| 6. #23752196 | C2 | semidirect |
| 8. C22×Dic302 | C22 | semidirect |
| 10. #18012769 | C22 | semidirect |
| 13. C2×#14558988 | C22 | semidirect |
| 14. #18012737 | C22 | semidirect |
| 15. #18012726 | C22 | semidirect |
| 18. #18012698 | C22 | semidirect |
| 19. #18012666 | C22 | semidirect |
| 20. #18012658 | C22 | semidirect |
| 21. #18012656 | C22 | semidirect |
| 129. C151 | #3022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012769 | 2 |
| #23752783 | 2 |
| #23752395 | 2 |
| #23752390 | 2 |
| #23752229 | 2 |
| #23752196 | 2 |
| #585×C151 | 2 |
| #3022 | 151 |