Finite Group DatabasebetaFinite Group DatabasebetaOrder 30592.
176 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 176 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 |
|---|---|---|
| 1. #29504974 | C2 | semidirect |
| 3. #29504851 | C2 | semidirect |
| 4. #29504523 | C2 | semidirect |
| 5. #29504518 | C2 | semidirect |
| 6. #29504516 | C2 | semidirect |
| 7. #486×C239 | C2 | semidirect |
| 84. C239 | #1701 | semidirect |
| 86. #486 | D239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #29504974 | 2 |
| #29504964 | 2 |
| #29504851 | 2 |
| #29504523 | 2 |
| #29504518 | 2 |
| #29504516 | 2 |
| #486×C239 | 2 |
| #1701 | 239 |