Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
684 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 135 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. #19133167 | C2 | semidirect |
| 4. #19132462 | C2 | semidirect |
| 15. C43×#399 | C4 | semidirect |
| 17. C43×#393 | C4 | semidirect |
| 34. C22×Q8×C43 | C2×C4 | semidirect |
| 42. C2×C4⋊C4×C43 | C2×C4 | semidirect |
| 52. #95×C43 | C2×C4 | semidirect |
| 202. #399 | Dic43 | semidirect |
| 204. #393 | Dic43 | semidirect |
| 213. C43 | #9199 | semidirect |
| 215. C22×Q8 | C2×Dic43 | semidirect |
| 227. C2×C4⋊C4 | C2×Dic43 | semidirect |
| 245. #95 | C2×Dic43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137209 | 2 |
| #19133167 | 2 |
| C2×#14582623 | 2 |
| #19132462 | 2 |
| C43×#2626 | 2 |
| #9199 | 43 |