Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 143 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. #19136760 | C2 | semidirect |
| 5. #19136646 | C2 | semidirect |
| 122. C43 | #33827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145254 | 2 |
| #19136760 | 2 |
| #19136703 | 2 |
| #19136686 | 2 |
| #19136646 | 2 |
| C43×#2151 | 2 |
| #33827 | 43 |