Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
670 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 670 conjugacy classes of subgroups — too many to draw. Only its 107 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×#14582666 | C2 | semidirect |
| 3. #19132596 | C2 | semidirect |
| 4. #19132593 | C2 | semidirect |
| 5. C2×C43×#323 | C2 | semidirect |
| 6. C2×#13063299 | C4 | semidirect |
| 9. #14582824 | C4 | semidirect |
| 13. #14582808 | C4 | semidirect |
| 16. #14582759 | C4 | semidirect |
| 23. C22×D172 | C2×C4 | semidirect |
| 33. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 46. C43⋊#95 | C2×C4 | semidirect |
| 47. C43⋊#95 | C2×C4 | semidirect |
| 234. C2×#323 | D43 | semidirect |
| 265. C43 | #11692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19140329 | 2 |
| C2×#14582666 | 2 |
| #19132596 | 2 |
| #19132593 | 2 |
| C2×C43×#323 | 2 |
| #11692 | 43 |