Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
298 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 298 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. #19136840 | C2 | semidirect |
| 3. #19136637 | C2 | semidirect |
| 4. #19132648 | C2 | semidirect |
| 5. #19132561 | C2 | semidirect |
| 6. #19132553 | C2 | semidirect |
| 7. C43×#1689 | C2 | semidirect |
| 144. #1689 | D43 | semidirect |
| 172. C43 | #12350 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147200 | 2 |
| #19136840 | 2 |
| #19136637 | 2 |
| #19132648 | 2 |
| #19132561 | 2 |
| #19132553 | 2 |
| C43×#1689 | 2 |
| #12350 | 43 |