Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
388 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 75 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. C22×#10621877 | C4 | semidirect |
| 7. C2×C22⋊(C43⋊C8) | C4 | semidirect |
| 14. C43×#343 | C4 | semidirect |
| 156. #343 | Dic43 | semidirect |
| 159. C43 | #7282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134893 | 2 |
| C4×#13063240 | 2 |
| C4×#100×C43 | 2 |
| #7282 | 43 |