Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
484 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 5. C2×#13063240 | C4 | semidirect |
| 8. C2×C22⋊(C43⋊C8) | C4 | semidirect |
| 12. C2×#99×C43 | C4 | semidirect |
| 148. C2×#99 | Dic43 | semidirect |
| 154. C43 | #7305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134513 | 2 |
| #19134507 | 2 |
| C43×#1782 | 2 |
| #7305 | 43 |