Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
516 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19145986 | C2 | semidirect |
| 3. #19135573 | C2 | semidirect |
| 4. #19135571 | C2 | semidirect |
| 6. C43⋊#1309 | C2 | semidirect |
| 240. C43 | #10302 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145986 | 2 |
| #19145982 | 2 |
| #19135573 | 2 |
| #19135571 | 2 |
| #19135424 | 2 |
| C43⋊#1309 | 2 |
| C43×#3254 | 2 |
| #10302 | 43 |