Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
704 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 97 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. #19143041 | C2 | semidirect |
| 3. #19134536 | C2 | semidirect |
| 4. #19133164 | C2 | semidirect |
| 5. #19132954 | C2 | semidirect |
| 6. #19132500 | C2 | semidirect |
| 7. C43×#1298 | C2 | semidirect |
| 9. C2×#13063353 | C4 | semidirect |
| 10. C2×#13063353 | C4 | semidirect |
| 17. #14582901 | C4 | semidirect |
| 18. #14582901 | C4 | semidirect |
| 277. #1298 | D43 | semidirect |
| 313. C43 | #9347 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143849 | 2 |
| #19143041 | 2 |
| #19134536 | 2 |
| #19133164 | 2 |
| #19132954 | 2 |
| #19132500 | 2 |
| C43×#1298 | 2 |
| #9347 | 43 |