Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #23752612 | C2 | semidirect |
| 3. #23752590 | C2 | semidirect |
| 4. #23752579 | C2 | semidirect |
| 7. #23752319 | C2 | semidirect |
| 8. #23752318 | C2 | semidirect |
| 9. #23752304 | C2 | semidirect |
| 103. C151 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752822 | 2 |
| #23752612 | 2 |
| #23752590 | 2 |
| #23752579 | 2 |
| #23752470 | 2 |
| #23752451 | 2 |
| #23752319 | 2 |
| #23752318 | 2 |
| #23752304 | 2 |
| #23752170 | 2 |
| #470×C151 | 2 |
| #3177 | 151 |