Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
298 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 43 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 |
|---|---|---|
| 1. #19132720 | C2 | semidirect |
| 2. #19132416 | C2 | semidirect |
| 7. C43×#537 | C4 | semidirect |
| 10. C43×#343 | C4 | semidirect |
| 138. #537 | Dic43 | semidirect |
| 142. #343 | Dic43 | semidirect |
| 144. C43 | #7408 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19132720 | 2 |
| #19132416 | 2 |
| C43×#2006 | 2 |
| #7408 | 43 |