Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
480 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19143462 | C2 | semidirect |
| 3. C2×#14582714 | C2 | semidirect |
| 6. #19132683 | C2 | semidirect |
| 7. C43×#1382 | C2 | semidirect |
| 13. C2×#13063270 | C4 | semidirect |
| 160. #1382 | D43 | semidirect |
| 185. C43 | #13018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063270 | 2 |
| #19143462 | 2 |
| C2×#14582714 | 2 |
| #19136310 | 2 |
| #19135503 | 2 |
| #19132683 | 2 |
| C43×#1382 | 2 |
| #13018 | 43 |