Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
322 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 322 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 |
|---|---|---|
| 2. C4×#13063265 | C2 | semidirect |
| 3. #19132564 | C2 | semidirect |
| 4. #19132561 | C2 | semidirect |
| 5. C43×#1568 | C2 | semidirect |
| 135. #1568 | D43 | semidirect |
| 160. C43 | #11682 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145165 | 2 |
| C4×#13063265 | 2 |
| #19132564 | 2 |
| #19132561 | 2 |
| C43×#1568 | 2 |
| #11682 | 43 |