Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
442 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 85 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. #19143665 | C2 | semidirect |
| 3. #19133143 | C2 | semidirect |
| 4. #19133142 | C2 | semidirect |
| 5. #19132466 | C2 | semidirect |
| 6. #19132461 | C2 | semidirect |
| 7. C43×#1536 | C2 | semidirect |
| 9. #14583295 | C4 | semidirect |
| 10. #14583275 | C4 | semidirect |
| 11. #14583247 | C4 | semidirect |
| 12. #14583245 | C4 | semidirect |
| 164. #1536 | D43 | semidirect |
| 194. C43 | #9417 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145329 | 2 |
| #19143665 | 2 |
| #19133143 | 2 |
| #19133142 | 2 |
| #19132466 | 2 |
| #19132461 | 2 |
| C43×#1536 | 2 |
| #9417 | 43 |