Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
478 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19133230 | C2 | semidirect |
| 3. #19132742 | C2 | semidirect |
| 4. C43×#2132 | C2 | semidirect |
| 15. #14582639 | C22 | semidirect |
| 19. C43×#355 | C22 | semidirect |
| 168. #2132 | D43 | semidirect |
| 189. #355 | C2×D43 | semidirect |
| 192. C43 | #13566 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143943 | 2 |
| #19133230 | 2 |
| #19132742 | 2 |
| C43×#2132 | 2 |
| #13566 | 43 |