Finite Group DatabasebetaFinite Group DatabasebetaOrder 29888.
142 conjugacy classes of subgroups; only the 39 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 39 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. #28417984 | C2 | semidirect |
| 3. #28417951 | C2 | semidirect |
| 4. #28417880 | C2 | semidirect |
| 5. #28417879 | C2 | semidirect |
| 6. #28417871 | C2 | semidirect |
| 7. #137×C467 | C2 | semidirect |
| 61. C467 | #456 | semidirect |
| 65. #137 | D467 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28418000 | 2 |
| #28417984 | 2 |
| #28417951 | 2 |
| #28417880 | 2 |
| #28417879 | 2 |
| #28417871 | 2 |
| #137×C467 | 2 |
| #456 | 467 |