Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
464 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #19134802 | C2 | semidirect |
| 4. #19134777 | C2 | semidirect |
| 6. #19132481 | C2 | semidirect |
| 7. C43×#1282 | C2 | semidirect |
| 24. #14582637 | C4 | semidirect |
| 25. #14582637 | C4 | semidirect |
| 26. #14582634 | C4 | semidirect |
| 27. #14582634 | C4 | semidirect |
| 216. #1282 | D43 | semidirect |
| 248. C43 | #8875 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143640 | 2 |
| #19134895 | 2 |
| #19134802 | 2 |
| #19134777 | 2 |
| #19133087 | 2 |
| #19132481 | 2 |
| C43×#1282 | 2 |
| #8875 | 43 |