Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
554 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 554 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. #19135423 | C2 | semidirect |
| 3. C42×C43⋊C8 | C2 | semidirect |
| 4. #19133353 | C2 | semidirect |
| 5. #19133046 | C2 | semidirect |
| 6. #19133045 | C2 | semidirect |
| 7. C43×#1962 | C2 | semidirect |
| 9. #14583302 | C4 | semidirect |
| 10. #14583275 | C4 | semidirect |
| 11. #14583247 | C4 | semidirect |
| 12. #14583245 | C4 | semidirect |
| 96. C42×C43 | D8 | semidirect |
| 149. C43⋊C8 | #104 | semidirect |
| 173. #1962 | D43 | semidirect |
| 203. C43 | #9844 | semidirect |
| 285. C42 | #10621882 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145170 | 2 |
| #19135423 | 2 |
| C42×C43⋊C8 | 2 |
| #19133353 | 2 |
| #19133046 | 2 |
| #19133045 | 2 |
| C43×#1962 | 2 |
| #9844 | 43 |