Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
286 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 83 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. #29504812 | C2 | semidirect |
| 5. #29504541 | C2 | semidirect |
| 6. #29504532 | C2 | semidirect |
| 7. #382×C239 | C2 | semidirect |
| 19. #21439888 | C4 | semidirect |
| 38. #16838532 | C2×C4 | semidirect |
| 57. C42×C239 | C2×C4 | semidirect |
| 111. C239 | #1860 | semidirect |
| 117. #382 | D239 | semidirect |
| 169. C42 | C4×D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505253 | 2 |
| #29504812 | 2 |
| C2×#21439888 | 2 |
| #29504771 | 2 |
| #29504541 | 2 |
| #29504532 | 2 |
| #382×C239 | 2 |
| #1860 | 239 |