Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
574 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 79 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. #19134669 | C2 | semidirect |
| 3. #19132596 | C2 | semidirect |
| 4. #19132593 | C2 | semidirect |
| 5. C43×#1462 | C2 | semidirect |
| 6. C2×#13063299 | C4 | semidirect |
| 8. #14582824 | C4 | semidirect |
| 12. #14582808 | C4 | semidirect |
| 15. #14582759 | C4 | semidirect |
| 216. #1462 | D43 | semidirect |
| 246. C43 | #11799 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140329 | 2 |
| #19134669 | 2 |
| #19132596 | 2 |
| #19132593 | 2 |
| C43×#1462 | 2 |
| #11799 | 43 |