Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
386 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 117 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. #23752928 | C2 | semidirect |
| 2. #23752865 | C2 | semidirect |
| 3. #23752538 | C2 | semidirect |
| 4. #23752532 | C2 | semidirect |
| 5. #23752499 | C2 | semidirect |
| 6. #23752489 | C2 | semidirect |
| 7. #23752466 | C2 | semidirect |
| 8. C4×D1208 | C2 | semidirect |
| 9. #23752291 | C2 | semidirect |
| 10. #23752251 | C2 | semidirect |
| 11. #498×C151 | C2 | semidirect |
| 101. C8×C151 | #41 | semidirect |
| 127. C151 | #3354 | semidirect |
| 131. #498 | D151 | semidirect |
| 229. C8 | #14559005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752928 | 2 |
| #23752865 | 2 |
| #23752538 | 2 |
| #23752532 | 2 |
| #23752499 | 2 |
| #23752489 | 2 |
| #23752466 | 2 |
| C4×D1208 | 2 |
| #23752291 | 2 |
| #23752251 | 2 |
| #498×C151 | 2 |
| #3354 | 151 |