Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
252 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 252 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 |
|---|---|---|
| 13. #14582723 | C4 | semidirect |
| 126. C43 | #13115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136369 | 2 |
| #19135348 | 2 |
| #19132711 | 2 |
| #19132708 | 2 |
| #19132696 | 2 |
| #19132679 | 2 |
| C43×#1773 | 2 |
| #13115 | 43 |