Finite Group DatabasebetaFinite Group DatabasebetaOrder 29888.
192 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 192 conjugacy classes of subgroups — too many to draw. Only its 95 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. #28417951 | C2 | semidirect |
| 4. #28417944 | C2 | semidirect |
| 5. #28417944 | C2 | semidirect |
| 6. #28417943 | C2 | semidirect |
| 8. Q8×Dic467 | C2 | semidirect |
| 9. #28417918 | C2 | semidirect |
| 67. C467 | #541 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28417951 | 2 |
| #28417946 | 2 |
| #28417944 | 2 |
| #28417943 | 2 |
| #28417932 | 2 |
| Q8×Dic467 | 2 |
| #28417918 | 2 |
| #28417912 | 2 |
| C22⋊Q8×C467 | 2 |
| #541 | 467 |