Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
692 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 692 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. #19133323 | C2 | semidirect |
| 5. #19133108 | C2 | semidirect |
| 6. #19133107 | C2 | semidirect |
| 7. C43×#1559 | C2 | semidirect |
| 9. #14583634 | C4 | semidirect |
| 10. Q8×Dic86 | C4 | semidirect |
| 209. #1559 | D43 | semidirect |
| 243. C43 | #8492 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149006 | 2 |
| #19135426 | 2 |
| #19133323 | 2 |
| #19133229 | 2 |
| #19133108 | 2 |
| #19133107 | 2 |
| C43×#1559 | 2 |
| #8492 | 43 |