Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
466 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 105 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. C2×#14583022 | C2 | semidirect |
| 3. #19136342 | C2 | semidirect |
| 4. #19136323 | C2 | semidirect |
| 5. #19132708 | C2 | semidirect |
| 6. #19132679 | C2 | semidirect |
| 7. C43×#1975 | C2 | semidirect |
| 10. #14583340 | C4 | semidirect |
| 12. #14583335 | C4 | semidirect |
| 180. #1975 | D43 | semidirect |
| 210. C43 | #13024 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19147729 | 2 |
| C2×#14583022 | 2 |
| #19136342 | 2 |
| #19136323 | 2 |
| #19132708 | 2 |
| #19132679 | 2 |
| C43×#1975 | 2 |
| #13024 | 43 |