Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
446 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 446 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 |
|---|---|---|
| 4. #19132488 | C2 | semidirect |
| 5. #19132461 | C2 | semidirect |
| 6. #19132460 | C2 | semidirect |
| 7. C43×#1300 | C2 | semidirect |
| 195. #1300 | D43 | semidirect |
| 224. C43 | #8772 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137536 | 2 |
| C4×#13063241 | 2 |
| #19132935 | 2 |
| #19132488 | 2 |
| #19132461 | 2 |
| #19132460 | 2 |
| C43×#1300 | 2 |
| #8772 | 43 |