Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
324 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 324 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 |
|---|---|---|
| 4. #19134477 | C2 | semidirect |
| 5. #19132692 | C2 | semidirect |
| 6. #19132672 | C2 | semidirect |
| 7. C2×C43×#368 | C2 | semidirect |
| 16. #14582704 | C4 | semidirect |
| 17. #14582704 | C4 | semidirect |
| 18. #14582701 | C4 | semidirect |
| 19. #14582701 | C4 | semidirect |
| 148. C2×#368 | D43 | semidirect |
| 178. C43 | #13134 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582705 | 2 |
| #19136303 | 2 |
| #19135481 | 2 |
| #19134477 | 2 |
| #19132692 | 2 |
| #19132672 | 2 |
| C2×C43×#368 | 2 |
| #13134 | 43 |