Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
352 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 352 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 5. C2×#13063257 | C4 | semidirect |
| 9. #14582662 | C4 | semidirect |
| 13. C43×C22⋊C16 | C4 | semidirect |
| 125. C22⋊C16 | Dic43 | semidirect |
| 129. C43 | #7262 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134620 | 2 |
| #19134312 | 2 |
| C43×#2112 | 2 |
| #7262 | 43 |