Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
586 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 586 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 |
|---|---|---|
| 15. C43×#391 | C4 | semidirect |
| 16. C43×#389 | C4 | semidirect |
| 159. #391 | Dic43 | semidirect |
| 160. #389 | Dic43 | semidirect |
| 171. C43 | #9153 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582767 | 2 |
| #19134663 | 2 |
| C2×#14582636 | 2 |
| #19132473 | 2 |
| C43×#2855 | 2 |
| #9153 | 43 |