Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
490 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×#14558992 | C2 | semidirect |
| 3. #23752689 | C2 | semidirect |
| 4. #23752431 | C2 | semidirect |
| 5. #23752409 | C2 | semidirect |
| 6. #23752239 | C2 | semidirect |
| 7. #23752217 | C2 | semidirect |
| 8. #23752208 | C2 | semidirect |
| 12. C2×#14558994 | C22 | semidirect |
| 15. C2×#14558992 | C22 | semidirect |
| 18. C4×Dic302 | C22 | semidirect |
| 22. C4⋊(C151⋊C8) | C22 | semidirect |
| 23. #18012663 | C22 | semidirect |
| 25. #18012660 | C22 | semidirect |
| 35. C2×Dic302 | D4 | semidirect |
| 116. C151 | #3043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#18012769 | 2 |
| C22×#14558992 | 2 |
| #23752689 | 2 |
| #23752431 | 2 |
| #23752409 | 2 |
| #23752239 | 2 |
| #23752217 | 2 |
| #23752208 | 2 |
| #535×C151 | 2 |
| #3043 | 151 |