Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
406 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 95 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. #19133350 | C2 | semidirect |
| 4. #19133283 | C2 | semidirect |
| 5. #19133049 | C2 | semidirect |
| 7. C43×#1292 | C2 | semidirect |
| 182. #1292 | D43 | semidirect |
| 210. C43 | #10460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144394 | 2 |
| #19134584 | 2 |
| #19133350 | 2 |
| #19133283 | 2 |
| #19133049 | 2 |
| C2×#14582626 | 2 |
| C43×#1292 | 2 |
| #10460 | 43 |