Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
774 conjugacy classes of subgroups; only the 167 normal subgroups are shown.
This group has 774 conjugacy classes of subgroups — too many to draw. Only its 167 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 |
|---|---|---|
| 3. #19133285 | C2 | semidirect |
| 4. #19133050 | C2 | semidirect |
| 187. C43 | #8355 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135390 | 2 |
| #19134587 | 2 |
| #19133285 | 2 |
| #19133050 | 2 |
| C43×#3501 | 2 |
| #8355 | 43 |