Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
498 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 71 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. #19133187 | C2 | semidirect |
| 3. #19132745 | C2 | semidirect |
| 4. C43×#2126 | C2 | semidirect |
| 5. #14583735 | C4 | semidirect |
| 7. #14583081 | C4 | semidirect |
| 12. #14582883 | C4 | semidirect |
| 15. #14582639 | C22 | semidirect |
| 18. C43×#354 | C22 | semidirect |
| 170. #2126 | D43 | semidirect |
| 190. #354 | C2×D43 | semidirect |
| 194. C43 | #13568 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143943 | 2 |
| #19133187 | 2 |
| #19132745 | 2 |
| C43×#2126 | 2 |
| #13568 | 43 |