Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
290 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 4. #14582923 | C4 | semidirect |
| 8. C42×Dic43 | C4 | semidirect |
| 9. #14582698 | C4 | semidirect |
| 14. C43×#353 | C4 | semidirect |
| 133. #353 | Dic43 | semidirect |
| 134. C43 | #7497 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136280 | 2 |
| #19135424 | 2 |
| C43×#2126 | 2 |
| #7497 | 43 |