Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
692 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 692 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. #19132438 | C2 | semidirect |
| 3. C43×#1280 | C2 | semidirect |
| 17. C22×D172 | C8 | semidirect |
| 226. #1280 | D43 | semidirect |
| 246. C43 | #7103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19132835 | 2 |
| #19132438 | 2 |
| C43×#1280 | 2 |
| #7103 | 43 |