Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1154 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 1154 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 2. #19134519 | C2 | semidirect |
| 3. #19132921 | C2 | semidirect |
| 4. C43×#1784 | C2 | semidirect |
| 145. #1784 | D43 | semidirect |
| 165. C43 | #8552 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063314 | 2 |
| #19134519 | 2 |
| #19132921 | 2 |
| C43×#1784 | 2 |
| #8552 | 43 |