Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
380 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 4. #19132701 | C2 | semidirect |
| 5. #19132700 | C2 | semidirect |
| 6. #19132696 | C2 | semidirect |
| 7. C43×#1384 | C2 | semidirect |
| 14. #14582934 | C4 | semidirect |
| 16. #106×D43 | C4 | semidirect |
| 152. #1384 | D43 | semidirect |
| 173. C43 | #12873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143187 | 2 |
| #19136215 | 2 |
| #19134638 | 2 |
| #19132701 | 2 |
| #19132700 | 2 |
| #19132696 | 2 |
| C43×#1384 | 2 |
| #12873 | 43 |