Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
310 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 79 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. #29505538 | C2 | semidirect |
| 3. #29504766 | C2 | semidirect |
| 4. #29504739 | C2 | semidirect |
| 5. #29504542 | C2 | semidirect |
| 6. #29504536 | C2 | semidirect |
| 7. #421×C239 | C2 | semidirect |
| 9. #21439991 | C4 | semidirect |
| 11. #21439986 | C4 | semidirect |
| 118. C239 | #1881 | semidirect |
| 122. #421 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505570 | 2 |
| #29505538 | 2 |
| #29504766 | 2 |
| #29504739 | 2 |
| #29504542 | 2 |
| #29504536 | 2 |
| #421×C239 | 2 |
| #1881 | 239 |