Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
316 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 3. #19136200 | C2 | semidirect |
| 5. #19132708 | C2 | semidirect |
| 6. #19132706 | C2 | semidirect |
| 7. C43×#1953 | C2 | semidirect |
| 15. #14582711 | C4 | semidirect |
| 129. #1953 | D43 | semidirect |
| 151. C43 | #13158 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582711 | 2 |
| #19136200 | 2 |
| #19135505 | 2 |
| #19132708 | 2 |
| #19132706 | 2 |
| C43×#1953 | 2 |
| #13158 | 43 |