Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
376 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19133369 | C2 | semidirect |
| 5. #19132492 | C2 | semidirect |
| 6. #19132428 | C2 | semidirect |
| 7. C4×C4⋊C8×C43 | C2 | semidirect |
| 15. #14582646 | C4 | semidirect |
| 16. #14582642 | C4 | semidirect |
| 151. C4×C4⋊C8 | D43 | semidirect |
| 178. C43 | #9577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19135423 | 2 |
| #19133369 | 2 |
| #19133245 | 2 |
| #19132993 | 2 |
| #19132492 | 2 |
| #19132428 | 2 |
| C4×C4⋊C8×C43 | 2 |
| #9577 | 43 |