Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19135514 | C2 | semidirect |
| 3. C4×#13063257 | C2 | semidirect |
| 4. #19133091 | C2 | semidirect |
| 5. C43×#1451 | C2 | semidirect |
| 7. #14583304 | C4 | semidirect |
| 8. #14583276 | C4 | semidirect |
| 9. #14583246 | C4 | semidirect |
| 119. C8×C43 | #104 | semidirect |
| 141. #1451 | D43 | semidirect |
| 165. C43 | #9721 | semidirect |
| 261. C8 | #13063251 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145174 | 2 |
| #19135514 | 2 |
| C4×#13063257 | 2 |
| #19133091 | 2 |
| C43×#1451 | 2 |
| #9721 | 43 |