Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
242 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 242 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 2. #23752266 | C2 | semidirect |
| 3. #23752063 | C2 | semidirect |
| 4. #23751950 | C2 | semidirect |
| 5. #23751948 | C2 | semidirect |
| 9. #18012730 | C4 | semidirect |
| 10. #18012726 | C4 | semidirect |
| 13. #18012704 | C4 | semidirect |
| 15. D4×Dic151 | C4 | semidirect |
| 109. C151 | #1509 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752743 | 2 |
| #23752266 | 2 |
| #23752063 | 2 |
| #23751950 | 2 |
| #23751948 | 2 |
| #23751946 | 2 |
| #327×C151 | 2 |
| #1509 | 151 |