Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1146 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 1146 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. C2×#14582695 | C2 | semidirect |
| 3. #19134519 | C2 | semidirect |
| 4. C43×#1784 | C2 | semidirect |
| 15. C2×#13063244 | C22 | semidirect |
| 20. C2×#101×C43 | C22 | semidirect |
| 173. C22×C43 | #355 | semidirect |
| 192. #1784 | D43 | semidirect |
| 212. C2×#101 | C2×D43 | semidirect |
| 216. C43 | #12699 | semidirect |
| 372. C22 | #14582695 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063314 | 2 |
| C2×#14582695 | 2 |
| #19134519 | 2 |
| C43×#1784 | 2 |
| #12699 | 43 |