Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
510 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 107 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. #19134371 | C2 | semidirect |
| 3. #19133116 | C2 | semidirect |
| 5. #19132960 | C2 | semidirect |
| 7. C43×#1810 | C2 | semidirect |
| 8. C22×#10621873 | C4 | semidirect |
| 15. C2×#13063257 | C4 | semidirect |
| 16. C2×#13063250 | C4 | semidirect |
| 17. C2×#13063247 | C4 | semidirect |
| 210. #1810 | D43 | semidirect |
| 246. C43 | #9816 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583128 | 2 |
| #19134371 | 2 |
| #19133116 | 2 |
| #19133112 | 2 |
| #19132960 | 2 |
| #19132956 | 2 |
| C43×#1810 | 2 |
| #9816 | 43 |