Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
424 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 63 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. #19136531 | C2 | semidirect |
| 3. #19136528 | C2 | semidirect |
| 5. #19132606 | C2 | semidirect |
| 7. C43×#1348 | C2 | semidirect |
| 122. C22×D43 | Q32 | semidirect |
| 182. #1348 | D43 | semidirect |
| 209. C43 | #12106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145366 | 2 |
| #19136531 | 2 |
| #19136528 | 2 |
| #19135606 | 2 |
| #19132606 | 2 |
| #19132518 | 2 |
| C43×#1348 | 2 |
| #12106 | 43 |