Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
538 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. #19134692 | C2 | semidirect |
| 4. #19134670 | C2 | semidirect |
| 5. #19132504 | C2 | semidirect |
| 6. #19132447 | C2 | semidirect |
| 10. #14583215 | C4 | semidirect |
| 11. #14583210 | C4 | semidirect |
| 38. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 39. C2×C4⋊Dic43 | C2×C4 | semidirect |
| 56. 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 |
| #19137362 | 2 |
| #19134692 | 2 |
| #19134670 | 2 |
| #19132504 | 2 |
| #19132447 | 2 |
| C43×#1510 | 2 |
| #9525 | 43 |