Finite Group DatabasebetaFinite Group DatabasebetaOrder 19328.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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. #23752034 | C2 | semidirect |
| 4. #23752029 | C2 | semidirect |
| 5. #23752027 | C2 | semidirect |
| 7. #365×C151 | C2 | semidirect |
| 61. C151 | #2239 | semidirect |
| 66. #365 | D151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23752471 | 2 |
| #23752259 | 2 |
| #23752034 | 2 |
| #23752029 | 2 |
| #23752027 | 2 |
| #23751993 | 2 |
| #365×C151 | 2 |
| #2239 | 151 |