Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1302 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 1302 conjugacy classes of subgroups — too many to draw. Only its 187 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. #19144526 | C2 | semidirect |
| 3. #19135805 | C2 | semidirect |
| 4. #19135038 | C2 | semidirect |
| 5. #19134809 | C2 | semidirect |
| 6. #19134553 | C2 | semidirect |
| 7. #19134523 | C2 | semidirect |
| 8. C43×#2297 | C2 | semidirect |
| 209. #2297 | D43 | semidirect |
| 246. C43 | #24020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148253 | 2 |
| #19144526 | 2 |
| #19135805 | 2 |
| #19135038 | 2 |
| #19134809 | 2 |
| #19134553 | 2 |
| #19134523 | 2 |
| C43×#2297 | 2 |
| #24020 | 43 |