Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
564 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19137675 | C2 | semidirect |
| 4. #19133168 | C2 | semidirect |
| 5. #19132474 | C2 | semidirect |
| 6. #19132442 | C2 | semidirect |
| 9. #14583229 | C4 | semidirect |
| 12. #14583050 | C4 | semidirect |
| 125. C22⋊Dic43 | SD16 | semidirect |
| 274. C43 | #9278 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145352 | 2 |
| #19137675 | 2 |
| #19135432 | 2 |
| #19133168 | 2 |
| #19132474 | 2 |
| #19132442 | 2 |
| C2×C43×#327 | 2 |
| #9278 | 43 |