Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1114 conjugacy classes of subgroups; only the 391 normal subgroups are shown.
This group has 1114 conjugacy classes of subgroups — too many to draw. Only its 391 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 |
|---|---|---|
| 1. C2×#14583316 | C2 | semidirect |
| 2. #19143206 | C2 | semidirect |
| 3. #19136323 | C2 | semidirect |
| 4. C2×#14582706 | C2 | semidirect |
| 8. C2×#13063265 | C22 | semidirect |
| 9. C22×C43⋊C16 | C22 | semidirect |
| 11. C2×#13063261 | C22 | semidirect |
| 12. #14582706 | C22 | semidirect |
| 13. #14582706 | C22 | semidirect |
| 137. C43 | #33385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14583316 | 2 |
| #19143206 | 2 |
| #19136323 | 2 |
| C2×#14582706 | 2 |
| C43×#3584 | 2 |
| #33385 | 43 |