Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
512 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19137069 | C2 | semidirect |
| 4. #19133025 | C2 | semidirect |
| 5. #19132498 | C2 | semidirect |
| 6. #19132427 | C2 | semidirect |
| 10. #14583181 | C4 | semidirect |
| 11. #14583096 | C4 | semidirect |
| 118. C4×Dic43 | SD16 | semidirect |
| 224. C43 | #9238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144622 | 2 |
| #19137069 | 2 |
| #19135424 | 2 |
| #19133025 | 2 |
| #19132498 | 2 |
| #19132427 | 2 |
| C43×#1502 | 2 |
| #9238 | 43 |