Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
574 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 574 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. #19135431 | C2 | semidirect |
| 3. #19135024 | C2 | semidirect |
| 4. #19135021 | C2 | semidirect |
| 5. #19134775 | C2 | semidirect |
| 6. #19132462 | C2 | semidirect |
| 7. C43×#1964 | C2 | semidirect |
| 129. C22⋊C4×C43 | D8 | semidirect |
| 261. #1964 | D43 | semidirect |
| 300. C43 | #10564 | semidirect |
| 420. C22⋊C4 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145343 | 2 |
| #19135431 | 2 |
| #19135024 | 2 |
| #19135021 | 2 |
| #19134775 | 2 |
| #19132462 | 2 |
| C43×#1964 | 2 |
| #10564 | 43 |