Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
212 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 81 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 |
|---|---|---|
| 120. C43 | #13544 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135386 | 2 |
| #19134720 | 2 |
| #19132710 | 2 |
| #19132692 | 2 |
| #19132688 | 2 |
| #19132685 | 2 |
| C43×#1385 | 2 |
| #13544 | 43 |