Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
324 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19136404 | C2 | semidirect |
| 3. #19134742 | C2 | semidirect |
| 4. #19132587 | C2 | semidirect |
| 5. #19132586 | C2 | semidirect |
| 6. #19132579 | C2 | semidirect |
| 7. C43×#1339 | C2 | semidirect |
| 9. #14583296 | C4 | semidirect |
| 10. #14583274 | C4 | semidirect |
| 14. #14583011 | C4 | semidirect |
| 15. #14583010 | C4 | semidirect |
| 150. #1339 | D43 | semidirect |
| 175. C43 | #11837 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145328 | 2 |
| #19136404 | 2 |
| #19134742 | 2 |
| #19132587 | 2 |
| #19132586 | 2 |
| #19132579 | 2 |
| C43×#1339 | 2 |
| #11837 | 43 |