Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
340 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 340 conjugacy classes of subgroups — too many to draw. Only its 123 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. #23752580 | C2 | semidirect |
| 3. #23752562 | C2 | semidirect |
| 4. #23752519 | C2 | semidirect |
| 5. #23752507 | C2 | semidirect |
| 8. #23752343 | C2 | semidirect |
| 11. #557×C151 | C2 | semidirect |
| 116. C151 | #3372 | semidirect |
| 118. #557 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752922 | 2 |
| #23752580 | 2 |
| #23752562 | 2 |
| #23752519 | 2 |
| #23752507 | 2 |
| #23752414 | 2 |
| #23752343 | 2 |
| #23752310 | 2 |
| C4×#14558991 | 2 |
| #557×C151 | 2 |
| #3372 | 151 |