Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
220 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 1. #29505168 | C2 | semidirect |
| 3. #29505144 | C2 | semidirect |
| 4. #29505120 | C2 | semidirect |
| 5. #29505119 | C2 | semidirect |
| 6. #29504494 | C2 | semidirect |
| 7. #492×C239 | C2 | semidirect |
| 47. C239⋊C8 | SD16 | semidirect |
| 75. C239 | #1715 | semidirect |
| 80. #492 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29505168 | 2 |
| #29505148 | 2 |
| #29505144 | 2 |
| #29505120 | 2 |
| #29505119 | 2 |
| #29504494 | 2 |
| #492×C239 | 2 |
| #1715 | 239 |