Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
408 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 69 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. #19132928 | C2 | semidirect |
| 3. #19132908 | C2 | semidirect |
| 4. #19132539 | C2 | semidirect |
| 5. #19132526 | C2 | semidirect |
| 6. #19132526 | C2 | semidirect |
| 7. C43×#1324 | C2 | semidirect |
| 192. #1324 | D43 | semidirect |
| 221. C43 | #11550 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139060 | 2 |
| #19132928 | 2 |
| #19132908 | 2 |
| #19132539 | 2 |
| #19132526 | 2 |
| C43×#1324 | 2 |
| #11550 | 43 |