Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
184 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 51 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. #29504973 | C2 | semidirect |
| 3. #29504969 | C2 | semidirect |
| 4. #29504899 | C2 | semidirect |
| 5. #29504522 | C2 | semidirect |
| 6. #29504515 | C2 | semidirect |
| 7. #331×C239 | C2 | semidirect |
| 55. C239⋊C8 | SD16 | semidirect |
| 86. C239 | #1688 | semidirect |
| 94. #331 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505148 | 2 |
| #29504973 | 2 |
| #29504969 | 2 |
| #29504899 | 2 |
| #29504522 | 2 |
| #29504515 | 2 |
| #331×C239 | 2 |
| #1688 | 239 |