Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
506 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 506 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 |
|---|---|---|
| 3. #19132617 | C2 | semidirect |
| 4. #19132596 | C2 | semidirect |
| 6. C2×#13063304 | C4 | semidirect |
| 7. #14582824 | C4 | semidirect |
| 9. #14582811 | C4 | semidirect |
| 16. C4×C22⋊Dic43 | C4 | semidirect |
| 222. C43 | #11845 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19139753 | 2 |
| #19134669 | 2 |
| #19132617 | 2 |
| #19132596 | 2 |
| C2×C43×#323 | 2 |
| #11845 | 43 |