Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
338 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 3. #23752611 | C2 | semidirect |
| 4. #23752591 | C2 | semidirect |
| 5. #23752581 | C2 | semidirect |
| 8. #23752316 | C2 | semidirect |
| 9. #23752304 | C2 | semidirect |
| 11. #491×C151 | C2 | semidirect |
| 102. C151 | #3177 | semidirect |
| 109. #491 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752825 | 2 |
| #23752823 | 2 |
| #23752611 | 2 |
| #23752591 | 2 |
| #23752581 | 2 |
| #23752469 | 2 |
| #23752452 | 2 |
| #23752316 | 2 |
| #23752304 | 2 |
| #23752169 | 2 |
| #491×C151 | 2 |
| #3177 | 151 |