Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
344 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19136797 | C2 | semidirect |
| 4. #19132608 | C2 | semidirect |
| 5. #19132607 | C2 | semidirect |
| 7. C43×#2236 | C2 | semidirect |
| 160. #2236 | D43 | semidirect |
| 190. C43 | #12282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145366 | 2 |
| #19136797 | 2 |
| #19136024 | 2 |
| #19132608 | 2 |
| #19132607 | 2 |
| #19132518 | 2 |
| C43×#2236 | 2 |
| #12282 | 43 |