Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
686 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 686 conjugacy classes of subgroups — too many to draw. Only its 103 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. #19137353 | C2 | semidirect |
| 4. #19133128 | C2 | semidirect |
| 5. #19132504 | C2 | semidirect |
| 6. #19132449 | C2 | semidirect |
| 27. C43×#451 | C4 | semidirect |
| 28. C43×#450 | C4 | semidirect |
| 278. #451 | Dic43 | semidirect |
| 279. #450 | Dic43 | semidirect |
| 297. C43 | #9524 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137353 | 2 |
| #19134539 | 2 |
| #19134513 | 2 |
| #19133128 | 2 |
| #19132504 | 2 |
| #19132449 | 2 |
| C43×#3007 | 2 |
| #9524 | 43 |