Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
504 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 93 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. #19143649 | C2 | semidirect |
| 3. #19133100 | C2 | semidirect |
| 4. C2×#14582633 | C2 | semidirect |
| 5. #19132482 | C2 | semidirect |
| 6. #19132437 | C2 | semidirect |
| 7. C43×#1471 | C2 | semidirect |
| 9. #14583234 | C4 | semidirect |
| 11. #14583217 | C4 | semidirect |
| 14. #14583050 | C4 | semidirect |
| 16. #14583033 | C4 | semidirect |
| 240. #1471 | D43 | semidirect |
| 280. C43 | #9264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145360 | 2 |
| #19143649 | 2 |
| #19133100 | 2 |
| C2×#14582633 | 2 |
| #19132482 | 2 |
| #19132437 | 2 |
| C43×#1471 | 2 |
| #9264 | 43 |