Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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. #23752522 | C2 | semidirect |
| 4. #23752521 | C2 | semidirect |
| 5. #23752508 | C2 | semidirect |
| 6. #23752507 | C2 | semidirect |
| 7. #23752494 | C2 | semidirect |
| 11. #475×C151 | C2 | semidirect |
| 47. Q8×D151 | Q8 | semidirect |
| 130. C151 | #3078 | semidirect |
| 139. #475 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752767 | 2 |
| C4×Q8×D151 | 2 |
| #23752522 | 2 |
| #23752521 | 2 |
| #23752508 | 2 |
| #23752507 | 2 |
| #23752494 | 2 |
| #23752251 | 2 |
| #23752234 | 2 |
| #23752219 | 2 |
| #475×C151 | 2 |
| #3078 | 151 |