Finite Group DatabasebetaFinite Group DatabasebetaOrder 29888.
104 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 104 conjugacy classes of subgroups — too many to draw. Only its 45 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. #28417961 | C2 | semidirect |
| 3. #28417960 | C2 | semidirect |
| 4. #28417888 | C2 | semidirect |
| 5. #28417881 | C2 | semidirect |
| 6. #28417864 | C2 | semidirect |
| 7. #104×C467 | C2 | semidirect |
| 9. #21418733 | C4 | semidirect |
| 10. #21418731 | C4 | semidirect |
| 11. #21418730 | C4 | semidirect |
| 12. #21418728 | C4 | semidirect |
| 51. C467 | #444 | semidirect |
| 58. #104 | D467 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28417973 | 2 |
| #28417961 | 2 |
| #28417960 | 2 |
| #28417888 | 2 |
| #28417881 | 2 |
| #28417864 | 2 |
| #104×C467 | 2 |
| #444 | 467 |