Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
418 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 418 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. #19134725 | C2 | semidirect |
| 3. #19133341 | C2 | semidirect |
| 6. #19132455 | C2 | semidirect |
| 7. C43×#1286 | C2 | semidirect |
| 11. #14582976 | C4 | semidirect |
| 13. #14582964 | C4 | semidirect |
| 169. #1286 | D43 | semidirect |
| 195. C43 | #8678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143306 | 2 |
| #19134725 | 2 |
| #19133341 | 2 |
| #19133156 | 2 |
| #19133154 | 2 |
| #19132455 | 2 |
| C43×#1286 | 2 |
| #8678 | 43 |