Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
516 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19135572 | C2 | semidirect |
| 3. C42×C43⋊C8 | C2 | semidirect |
| 4. #19133350 | C2 | semidirect |
| 5. #19133049 | C2 | semidirect |
| 9. #14583295 | C4 | semidirect |
| 10. #14583271 | C4 | semidirect |
| 11. #14583251 | C4 | semidirect |
| 12. #14583245 | C4 | semidirect |
| 89. C42×C43 | SD16 | semidirect |
| 141. C43⋊C8 | #104 | semidirect |
| 192. C43 | #9843 | semidirect |
| 271. C42 | #10621883 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145150 | 2 |
| #19135572 | 2 |
| C42×C43⋊C8 | 2 |
| #19133350 | 2 |
| #19133049 | 2 |
| #19133046 | 2 |
| C43×#1962 | 2 |
| #9843 | 43 |