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. #23752613 | C2 | semidirect |
| 3. #23752590 | C2 | semidirect |
| 4. #23752579 | C2 | semidirect |
| 8. #23752317 | C2 | semidirect |
| 9. C4×Dic604 | C2 | semidirect |
| 11. C4×Q16×C151 | C2 | semidirect |
| 111. C151 | #3177 | semidirect |
| 122. C4×Q16 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752820 | 2 |
| #23752613 | 2 |
| #23752590 | 2 |
| #23752579 | 2 |
| #23752469 | 2 |
| #23752454 | 2 |
| #23752450 | 2 |
| #23752317 | 2 |
| C4×Dic604 | 2 |
| #23752166 | 2 |
| C4×Q16×C151 | 2 |
| #3177 | 151 |