Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
516 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19143716 | C2 | semidirect |
| 3. #19135423 | C2 | semidirect |
| 4. C4×#13063253 | C2 | semidirect |
| 5. #19133011 | C2 | semidirect |
| 6. #19132486 | C2 | semidirect |
| 7. C43×#1276 | C2 | semidirect |
| 11. #14583195 | C4 | semidirect |
| 12. #14583190 | C4 | semidirect |
| 13. #14583100 | C4 | semidirect |
| 14. #14583095 | C4 | semidirect |
| 169. D172 | #104 | semidirect |
| 217. #1276 | D43 | semidirect |
| 249. C43 | #8969 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144656 | 2 |
| #19143716 | 2 |
| #19135423 | 2 |
| C4×#13063253 | 2 |
| #19133011 | 2 |
| #19132486 | 2 |
| C43×#1276 | 2 |
| #8969 | 43 |