Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
274 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 4. #14583666 | C4 | semidirect |
| 7. #14582873 | C4 | semidirect |
| 8. #14582694 | C4 | semidirect |
| 13. C43×#333 | C4 | semidirect |
| 130. #333 | Dic43 | semidirect |
| 132. C43 | #7490 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136260 | 2 |
| #19134979 | 2 |
| C43×#1543 | 2 |
| #7490 | 43 |