Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
422 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 83 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. C22⋊C16×D43 | C2 | semidirect |
| 3. #19134619 | C2 | semidirect |
| 4. #19132607 | C2 | semidirect |
| 5. #19132605 | C2 | semidirect |
| 6. #19132603 | C2 | semidirect |
| 7. C43×#1348 | C2 | semidirect |
| 8. C2×#13063348 | C4 | semidirect |
| 12. #14583137 | C4 | semidirect |
| 13. #14583136 | C4 | semidirect |
| 17. #14582936 | C4 | semidirect |
| 187. #1348 | D43 | semidirect |
| 217. C43 | #11885 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144178 | 2 |
| C22⋊C16×D43 | 2 |
| #19134619 | 2 |
| #19132607 | 2 |
| #19132605 | 2 |
| #19132603 | 2 |
| C43×#1348 | 2 |
| #11885 | 43 |