Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
414 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #19135576 | C2 | semidirect |
| 5. #19133067 | C2 | semidirect |
| 6. #19132485 | C2 | semidirect |
| 7. C43×#1300 | C2 | semidirect |
| 10. #14583308 | C4 | semidirect |
| 11. #14583293 | C4 | semidirect |
| 12. #14583268 | C4 | semidirect |
| 13. #14583259 | C4 | semidirect |
| 199. #1300 | D43 | semidirect |
| 233. C43 | #8998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145201 | 2 |
| #19143767 | 2 |
| #19135576 | 2 |
| #19133079 | 2 |
| #19133067 | 2 |
| #19132485 | 2 |
| C43×#1300 | 2 |
| #8998 | 43 |