Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
746 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 746 conjugacy classes of subgroups — too many to draw. Only its 115 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. #19133293 | C2 | semidirect |
| 4. #19133211 | C2 | semidirect |
| 5. #19133210 | C2 | semidirect |
| 7. C43×#1552 | C2 | semidirect |
| 213. #1552 | D43 | semidirect |
| 247. C43 | #8457 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19148396 | 2 |
| #19135392 | 2 |
| #19133293 | 2 |
| #19133211 | 2 |
| #19133210 | 2 |
| #19132935 | 2 |
| C43×#1552 | 2 |
| #8457 | 43 |