Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
820 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 820 conjugacy classes of subgroups — too many to draw. Only its 103 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×#14582873 | C2 | semidirect |
| 3. C2×#14582687 | C2 | semidirect |
| 4. #19132714 | C2 | semidirect |
| 5. C43×#1785 | C2 | semidirect |
| 6. C2×#13063293 | C4 | semidirect |
| 9. C22×(C2×D43)⋊C4 | C4 | semidirect |
| 15. #14582779 | C4 | semidirect |
| 19. #14582762 | C4 | semidirect |
| 49. #13063240 | D4 | semidirect |
| 263. #1785 | D43 | semidirect |
| 294. C43 | #13087 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582873 | 2 |
| #19137910 | 2 |
| C2×#14582687 | 2 |
| #19132714 | 2 |
| C43×#1785 | 2 |
| #13087 | 43 |