Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
286 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 14. #14582726 | C4 | semidirect |
| 15. #14582724 | C4 | semidirect |
| 133. C43 | #13169 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582728 | 2 |
| #19136377 | 2 |
| C2×C4×C43⋊C16 | 2 |
| #19135343 | 2 |
| #19132692 | 2 |
| #19132690 | 2 |
| C43×#1945 | 2 |
| #13169 | 43 |