Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
346 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 346 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19134735 | C2 | semidirect |
| 5. #19132453 | C2 | semidirect |
| 6. #19132439 | C2 | semidirect |
| 7. C43×#1286 | C2 | semidirect |
| 147. #1286 | D43 | semidirect |
| 168. C43 | #10634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135418 | 2 |
| #19134735 | 2 |
| #19133264 | 2 |
| #19133262 | 2 |
| #19132453 | 2 |
| #19132439 | 2 |
| C43×#1286 | 2 |
| #10634 | 43 |