Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
598 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 598 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 |
|---|---|---|
| 1. #19144622 | C2 | semidirect |
| 3. #19137881 | C2 | semidirect |
| 4. #19133023 | C2 | semidirect |
| 5. #19133019 | C2 | semidirect |
| 6. #19132424 | C2 | semidirect |
| 7. C43×#1963 | C2 | semidirect |
| 214. #1963 | D43 | semidirect |
| 249. C43 | #10013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144622 | 2 |
| #19144591 | 2 |
| #19137881 | 2 |
| #19133023 | 2 |
| #19133019 | 2 |
| #19132424 | 2 |
| C43×#1963 | 2 |
| #10013 | 43 |