Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
396 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 67 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. #19136523 | C2 | semidirect |
| 3. #19135906 | C2 | semidirect |
| 4. #19132607 | C2 | semidirect |
| 5. #19132604 | C2 | semidirect |
| 6. #19132535 | C2 | semidirect |
| 7. C43×#3250 | C2 | semidirect |
| 174. #3250 | D43 | semidirect |
| 207. C43 | #12160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136523 | 2 |
| #19136506 | 2 |
| #19135906 | 2 |
| #19132607 | 2 |
| #19132604 | 2 |
| #19132535 | 2 |
| C43×#3250 | 2 |
| #12160 | 43 |