Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
234 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 12. #14582675 | C4 | semidirect |
| 13. C4×C43⋊C16 | C4 | semidirect |
| 126. C43 | #12893 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136192 | 2 |
| #19134719 | 2 |
| #19132698 | 2 |
| #19132696 | 2 |
| #19132692 | 2 |
| #19132690 | 2 |
| C43×#1833 | 2 |
| #12893 | 43 |