Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
594 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 594 conjugacy classes of subgroups — too many to draw. Only its 111 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. #19135431 | C2 | semidirect |
| 3. #19134618 | C2 | semidirect |
| 4. #19134373 | C2 | semidirect |
| 5. #19133163 | C2 | semidirect |
| 6. #19133162 | C2 | semidirect |
| 7. C43×#1964 | C2 | semidirect |
| 8. C22×#10621882 | C4 | semidirect |
| 15. C2×#13063258 | C4 | semidirect |
| 17. C2×#13063246 | C4 | semidirect |
| 18. C2×#13063245 | C4 | semidirect |
| 202. C43⋊C8 | #99 | semidirect |
| 237. #1964 | D43 | semidirect |
| 274. C43 | #9785 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583133 | 2 |
| #19135431 | 2 |
| #19134618 | 2 |
| #19134373 | 2 |
| #19133163 | 2 |
| #19133162 | 2 |
| C43×#1964 | 2 |
| #9785 | 43 |