Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
684 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 171 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. #19134274 | C2 | semidirect |
| 5. #19134238 | C2 | semidirect |
| 6. #19134230 | C2 | semidirect |
| 7. #19134191 | C2 | semidirect |
| 189. C43 | #19751 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145340 | 2 |
| #19145336 | 2 |
| #19145137 | 2 |
| #19134274 | 2 |
| #19134238 | 2 |
| #19134230 | 2 |
| #19134191 | 2 |
| #19132898 | 2 |
| C43×#3139 | 2 |
| #19751 | 43 |