Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
784 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 784 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 |
|---|---|---|
| 3. #19132714 | C2 | semidirect |
| 5. C22×C22⋊Dic43 | C4 | semidirect |
| 6. C22×C22⋊Dic43 | C4 | semidirect |
| 11. #14582779 | C4 | semidirect |
| 214. C43 | #12854 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137173 | 2 |
| #19134510 | 2 |
| #19132714 | 2 |
| C43×#1783 | 2 |
| #12854 | 43 |