Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
598 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19144627 | C2 | semidirect |
| 3. #19137881 | C2 | semidirect |
| 4. #19135427 | C2 | semidirect |
| 5. #19133025 | C2 | semidirect |
| 6. #19133021 | C2 | semidirect |
| 7. C43×#1274 | C2 | semidirect |
| 217. #1274 | 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 |
|---|---|
| #19144627 | 2 |
| #19144596 | 2 |
| #19137881 | 2 |
| #19135427 | 2 |
| #19133025 | 2 |
| #19133021 | 2 |
| C43×#1274 | 2 |
| #10013 | 43 |