Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
542 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 3. #19142972 | C2 | semidirect |
| 5. #19133281 | C2 | semidirect |
| 6. #19132427 | C2 | semidirect |
| 7. C43×#1549 | C2 | semidirect |
| 172. #1549 | D43 | semidirect |
| 200. C43 | #10285 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145725 | 2 |
| #19145723 | 2 |
| #19142972 | 2 |
| #19135422 | 2 |
| #19133281 | 2 |
| #19132427 | 2 |
| C43×#1549 | 2 |
| #10285 | 43 |