Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
452 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 452 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 |
|---|---|---|
| 2. #19143762 | C2 | semidirect |
| 3. #19135426 | C2 | semidirect |
| 4. #19133082 | C2 | semidirect |
| 5. #19133065 | C2 | semidirect |
| 6. #19132489 | C2 | semidirect |
| 7. C43×#1299 | C2 | semidirect |
| 10. #14583308 | C4 | semidirect |
| 11. #14583288 | C4 | semidirect |
| 12. #14583264 | C4 | semidirect |
| 13. #14583259 | C4 | semidirect |
| 216. #1299 | D43 | semidirect |
| 250. C43 | #8997 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145190 | 2 |
| #19143762 | 2 |
| #19135426 | 2 |
| #19133082 | 2 |
| #19133065 | 2 |
| #19132489 | 2 |
| C43×#1299 | 2 |
| #8997 | 43 |