Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
610 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 610 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19144535 | C2 | semidirect |
| 3. #19140384 | C2 | semidirect |
| 4. #19135431 | C2 | semidirect |
| 5. #19133110 | C2 | semidirect |
| 6. #19132500 | C2 | semidirect |
| 7. C43×#1826 | C2 | semidirect |
| 231. #1826 | D43 | semidirect |
| 268. C43 | #9932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145395 | 2 |
| #19144535 | 2 |
| #19140384 | 2 |
| #19135431 | 2 |
| #19133110 | 2 |
| #19132500 | 2 |
| C43×#1826 | 2 |
| #9932 | 43 |