Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
598 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19140455 | C2 | semidirect |
| 3. #19133218 | C2 | semidirect |
| 4. #19133142 | C2 | semidirect |
| 5. #19133042 | C2 | semidirect |
| 6. #19132461 | C2 | semidirect |
| 7. C43×#3112 | C2 | semidirect |
| 208. #3112 | D43 | semidirect |
| 245. C43 | #10020 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145063 | 2 |
| #19140455 | 2 |
| #19133218 | 2 |
| #19133142 | 2 |
| #19133042 | 2 |
| #19132461 | 2 |
| C43×#3112 | 2 |
| #10020 | 43 |