Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
532 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 127 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. #101×Dic43 | C2 | semidirect |
| 4. #19132721 | C2 | semidirect |
| 16. #14582696 | C4 | semidirect |
| 20. C43×#355 | C4 | semidirect |
| 38. #13063244 | C2×C4 | semidirect |
| 52. #101×C43 | C2×C4 | semidirect |
| 155. Dic43 | #355 | direct (N × H) |
| 180. #355 | Dic43 | direct (N × H) |
| 182. C43 | C4×#355 | semidirect |
| 210. #101 | C2×Dic43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #124×Dic43 | 2 |
| C2×#14582696 | 2 |
| #101×Dic43 | 2 |
| #19132721 | 2 |
| C2×C43×#355 | 2 |
| C4×#355 | 43 |