Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
672 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 672 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 |
|---|---|---|
| 2. #19136269 | C2 | semidirect |
| 3. #19136248 | C2 | semidirect |
| 5. #19132723 | C2 | semidirect |
| 6. #19132715 | C2 | semidirect |
| 8. C2×#13063355 | C4 | semidirect |
| 9. C22×#10621883 | C4 | semidirect |
| 17. #14582904 | C4 | semidirect |
| 18. #14582895 | C4 | semidirect |
| 31. C22×Dic86 | C2×C4 | semidirect |
| 39. C2×#10621877 | C2×C4 | semidirect |
| 40. C22×C43⋊C8 | C2×C4 | semidirect |
| 48. #13063284 | C2×C4 | semidirect |
| 282. C43 | #13100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143872 | 2 |
| #19136269 | 2 |
| #19136248 | 2 |
| #19134565 | 2 |
| #19132723 | 2 |
| #19132715 | 2 |
| C43×#2883 | 2 |
| #13100 | 43 |