Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
466 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 466 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. #19144721 | C2 | semidirect |
| 5. #19132938 | C2 | semidirect |
| 6. #19132457 | C2 | semidirect |
| 7. C43×#1497 | C2 | semidirect |
| 185. #1497 | D43 | semidirect |
| 218. C43 | #10044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145793 | 2 |
| #19144721 | 2 |
| #19144627 | 2 |
| #19133229 | 2 |
| #19132938 | 2 |
| #19132457 | 2 |
| C43×#1497 | 2 |
| #10044 | 43 |