Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
812 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 812 conjugacy classes of subgroups — too many to draw. Only its 163 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. #19133873 | C2 | semidirect |
| 5. #19133838 | C2 | semidirect |
| 179. C43 | #18703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19149090 | 2 |
| #19145989 | 2 |
| #19145105 | 2 |
| #19133873 | 2 |
| #19133838 | 2 |
| #19133049 | 2 |
| C43×#1561 | 2 |
| #18703 | 43 |