Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
404 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19142786 | C2 | semidirect |
| 4. #19132616 | C2 | semidirect |
| 5. #19132596 | C2 | semidirect |
| 6. #19132542 | C2 | semidirect |
| 222. C43 | #12139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142786 | 2 |
| #19135843 | 2 |
| #19133581 | 2 |
| #19132616 | 2 |
| #19132596 | 2 |
| #19132542 | 2 |
| C43×#1601 | 2 |
| #12139 | 43 |