Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
466 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#14583020 | C2 | semidirect |
| 3. #19136342 | C2 | semidirect |
| 4. #19136322 | C2 | semidirect |
| 5. #19135486 | C2 | semidirect |
| 6. #19132678 | C2 | semidirect |
| 7. C43×#1388 | C2 | semidirect |
| 12. #14583342 | C4 | semidirect |
| 14. #14583337 | C4 | semidirect |
| 181. #1388 | D43 | semidirect |
| 210. C43 | #13024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147731 | 2 |
| C2×#14583020 | 2 |
| #19136342 | 2 |
| #19136322 | 2 |
| #19135486 | 2 |
| #19132678 | 2 |
| C43×#1388 | 2 |
| #13024 | 43 |