Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
474 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 83 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. #19132502 | C2 | semidirect |
| 5. #19132501 | C2 | semidirect |
| 6. #19132500 | C2 | semidirect |
| 7. C43×#1305 | C2 | semidirect |
| 170. #1305 | D43 | semidirect |
| 192. C43 | #8759 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19137192 | 2 |
| #19132921 | 2 |
| #19132502 | 2 |
| #19132501 | 2 |
| #19132500 | 2 |
| C43×#1305 | 2 |
| #8759 | 43 |