Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
538 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 99 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. #19134695 | C2 | semidirect |
| 3. #19134670 | C2 | semidirect |
| 5. #19132503 | C2 | semidirect |
| 6. #19132448 | C2 | semidirect |
| 10. #14583215 | C4 | semidirect |
| 11. #14583210 | C4 | semidirect |
| 37. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 38. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 49. C22⋊(C43⋊C8) | C2×C4 | semidirect |
| 262. C43 | #9525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19144531 | 2 |
| #19134695 | 2 |
| #19134670 | 2 |
| #19133124 | 2 |
| #19132503 | 2 |
| #19132448 | 2 |
| C43×#2333 | 2 |
| #9525 | 43 |