Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
104 conjugacy classes of subgroups; only the 35 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 35 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. Q32×D239 | C2 | semidirect |
| 3. Dic3824 | C2 | semidirect |
| 4. #29504612 | C2 | semidirect |
| 5. #29504610 | C2 | semidirect |
| 6. #29504605 | C2 | semidirect |
| 7. SD64×C239 | C2 | semidirect |
| 51. C239 | #2264 | semidirect |
| 58. SD64 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505201 | 2 |
| Q32×D239 | 2 |
| Dic3824 | 2 |
| #29504612 | 2 |
| #29504610 | 2 |
| #29504605 | 2 |
| SD64×C239 | 2 |
| #2264 | 239 |