Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
806 conjugacy classes of subgroups; only the 155 normal subgroups are shown.
This group has 806 conjugacy classes of subgroups — too many to draw. Only its 155 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. #19149090 | C2 | semidirect |
| 4. #19133924 | C2 | semidirect |
| 5. #19133898 | C2 | semidirect |
| 6. #19133211 | C2 | semidirect |
| 7. C43×#1537 | C2 | semidirect |
| 150. #1537 | D43 | semidirect |
| 178. C43 | #19063 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149090 | 2 |
| #19145795 | 2 |
| #19144943 | 2 |
| #19133924 | 2 |
| #19133898 | 2 |
| #19133211 | 2 |
| C43×#1537 | 2 |
| #19063 | 43 |