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. #19144627 | C2 | semidirect |
| 3. #19137879 | C2 | semidirect |
| 4. #19135426 | C2 | semidirect |
| 5. #19133023 | C2 | semidirect |
| 6. #19132423 | C2 | semidirect |
| 7. C43×#1486 | C2 | semidirect |
| 216. #1486 | 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 |
| #19144595 | 2 |
| #19137879 | 2 |
| #19135426 | 2 |
| #19133023 | 2 |
| #19132423 | 2 |
| C43×#1486 | 2 |
| #10013 | 43 |