Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
406 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 3. #19133351 | C2 | semidirect |
| 4. #19133285 | C2 | semidirect |
| 6. #19132469 | C2 | semidirect |
| 7. C43×#1493 | C2 | semidirect |
| 180. #1493 | D43 | semidirect |
| 210. C43 | #10460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144388 | 2 |
| #19134584 | 2 |
| #19133351 | 2 |
| #19133285 | 2 |
| C2×#14582628 | 2 |
| #19132469 | 2 |
| C43×#1493 | 2 |
| #10460 | 43 |