Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
370 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 370 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. #23752817 | C2 | semidirect |
| 2. #23752512 | C2 | semidirect |
| 3. #23752509 | C2 | semidirect |
| 4. #23752463 | C2 | semidirect |
| 5. #23752446 | C2 | semidirect |
| 6. #23752407 | C2 | semidirect |
| 7. #23752404 | C2 | semidirect |
| 8. #23752239 | C2 | semidirect |
| 9. #540×C151 | C2 | semidirect |
| 106. C151 | #3259 | semidirect |
| 109. #540 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752817 | 2 |
| #23752512 | 2 |
| #23752509 | 2 |
| #23752463 | 2 |
| #23752446 | 2 |
| #23752407 | 2 |
| #23752404 | 2 |
| #23752239 | 2 |
| #540×C151 | 2 |
| #3259 | 151 |