Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
352 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 352 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. #19136398 | C2 | semidirect |
| 3. #19132606 | C2 | semidirect |
| 5. C4×#107×C43 | C2 | semidirect |
| 7. #14583301 | C4 | semidirect |
| 8. #14583283 | C4 | semidirect |
| 13. C4×Dic172 | C4 | semidirect |
| 15. C4×D344 | C4 | semidirect |
| 144. C4×#107 | D43 | semidirect |
| 170. C43 | #11746 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145165 | 2 |
| #19136398 | 2 |
| #19132606 | 2 |
| #19132603 | 2 |
| C4×#107×C43 | 2 |
| #11746 | 43 |