Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
488 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19143734 | C2 | semidirect |
| 3. #19135393 | C2 | semidirect |
| 4. #19133039 | C2 | semidirect |
| 5. #19132494 | C2 | semidirect |
| 6. #19132446 | C2 | semidirect |
| 7. C43×#1524 | C2 | semidirect |
| 224. #1524 | D43 | semidirect |
| 262. C43 | #9052 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144638 | 2 |
| #19143734 | 2 |
| #19135393 | 2 |
| #19133039 | 2 |
| #19132494 | 2 |
| #19132446 | 2 |
| C43×#1524 | 2 |
| #9052 | 43 |