Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
396 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 1. #19136216 | C2 | semidirect |
| 2. #19134641 | C2 | semidirect |
| 3. #19132580 | C2 | semidirect |
| 9. #14582681 | C22 | semidirect |
| 10. #14582656 | C22 | semidirect |
| 11. C22×D8×C43 | C4 | semidirect |
| 14. C43×#469 | C4 | semidirect |
| 18. C43×#427 | C4 | semidirect |
| 155. C22×D8 | Dic43 | semidirect |
| 159. #469 | Dic43 | semidirect |
| 164. #427 | Dic43 | semidirect |
| 170. C43 | #11868 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136216 | 2 |
| #19134641 | 2 |
| #19132580 | 2 |
| C43×#3058 | 2 |
| #11868 | 43 |