Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
334 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19133369 | C2 | semidirect |
| 3. #19133365 | C2 | semidirect |
| 6. #19132424 | C2 | semidirect |
| 7. C43×#1832 | C2 | semidirect |
| 125. #1832 | D43 | semidirect |
| 149. C43 | #10665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135427 | 2 |
| #19133369 | 2 |
| #19133365 | 2 |
| #19132993 | 2 |
| #19132424 | 2 |
| C43×#1832 | 2 |
| #10665 | 43 |