Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
320 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 320 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 |
|---|---|---|
| 2. #19136284 | C2 | semidirect |
| 3. #19132769 | C2 | semidirect |
| 4. #19132751 | C2 | semidirect |
| 5. C43×#2129 | C2 | semidirect |
| 6. #14583504 | C4 | semidirect |
| 8. #14583273 | C4 | semidirect |
| 9. #14583267 | C4 | semidirect |
| 15. #14582960 | C4 | semidirect |
| 146. #2129 | D43 | semidirect |
| 171. C43 | #13606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145656 | 2 |
| #19136284 | 2 |
| #19132769 | 2 |
| #19132751 | 2 |
| C43×#2129 | 2 |
| #13606 | 43 |