Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
684 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 113 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. #19133168 | C2 | semidirect |
| 4. #19133166 | C2 | semidirect |
| 6. #19132462 | C2 | semidirect |
| 7. C43×#1289 | C2 | semidirect |
| 12. #14582836 | C4 | semidirect |
| 14. #14582812 | C4 | semidirect |
| 28. C22×Dic86 | C2×C4 | semidirect |
| 38. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 67. #95×C43 | C2×C4 | semidirect |
| 230. #1289 | D43 | semidirect |
| 260. C43 | #9199 | semidirect |
| 301. #95 | C4×D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140403 | 2 |
| #19137208 | 2 |
| #19133168 | 2 |
| #19133166 | 2 |
| C2×#14582622 | 2 |
| #19132462 | 2 |
| C43×#1289 | 2 |
| #9199 | 43 |