Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
922 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 922 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 |
|---|---|---|
| 1. #19135536 | C2 | semidirect |
| 2. #19133290 | C2 | semidirect |
| 3. #19133206 | C2 | semidirect |
| 4. #19132939 | C2 | semidirect |
| 173. C43 | #8459 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135536 | 2 |
| #19133290 | 2 |
| #19133206 | 2 |
| #19132939 | 2 |
| C43×#3497 | 2 |
| #8459 | 43 |