Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
348 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 73 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. #19134735 | C2 | semidirect |
| 3. #19133323 | C2 | semidirect |
| 4. #19133211 | C2 | semidirect |
| 6. #19132505 | C2 | semidirect |
| 180. C43 | #10527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145982 | 2 |
| #19134735 | 2 |
| #19133323 | 2 |
| #19133211 | 2 |
| #19133206 | 2 |
| #19132505 | 2 |
| C43×#1557 | 2 |
| #10527 | 43 |