Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
366 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 366 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 |
|---|---|---|
| 2. #19135583 | C2 | semidirect |
| 3. #19133386 | C2 | semidirect |
| 4. #19133281 | C2 | semidirect |
| 6. #19132484 | C2 | semidirect |
| 180. C43 | #10490 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145713 | 2 |
| #19135583 | 2 |
| #19133386 | 2 |
| #19133281 | 2 |
| #19133012 | 2 |
| #19132484 | 2 |
| C43×#1560 | 2 |
| #10490 | 43 |