Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
310 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 53 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. #19136814 | C2 | semidirect |
| 4. #19132584 | C2 | semidirect |
| 5. #19132583 | C2 | semidirect |
| 7. C43×#2239 | C2 | semidirect |
| 145. #2239 | D43 | semidirect |
| 173. C43 | #12302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145487 | 2 |
| #19136814 | 2 |
| #19136147 | 2 |
| #19132584 | 2 |
| #19132583 | 2 |
| #19132532 | 2 |
| C43×#2239 | 2 |
| #12302 | 43 |