Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
476 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 476 conjugacy classes of subgroups — too many to draw. Only its 81 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. #19145811 | C2 | semidirect |
| 4. #19133232 | C2 | semidirect |
| 5. #19133069 | C2 | semidirect |
| 7. C43×#1287 | C2 | semidirect |
| 189. #1287 | D43 | semidirect |
| 220. C43 | #10043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19145811 | 2 |
| #19144695 | 2 |
| #19144604 | 2 |
| #19133232 | 2 |
| #19133069 | 2 |
| #19132935 | 2 |
| C43×#1287 | 2 |
| #10043 | 43 |