Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
512 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19133312 | C2 | semidirect |
| 5. #19133107 | C2 | semidirect |
| 6. #19132489 | C2 | semidirect |
| 7. C43×#3165 | C2 | semidirect |
| 176. #3165 | D43 | semidirect |
| 210. C43 | #10100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145594 | 2 |
| #19140536 | 2 |
| #19133312 | 2 |
| #19133192 | 2 |
| #19133107 | 2 |
| #19132489 | 2 |
| C43×#3165 | 2 |
| #10100 | 43 |