Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
314 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19136350 | C2 | semidirect |
| 5. #19135344 | C2 | semidirect |
| 6. #19132708 | C2 | semidirect |
| 7. C43×#2155 | C2 | semidirect |
| 137. #2155 | D43 | semidirect |
| 164. C43 | #13466 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136350 | 2 |
| #19136330 | 2 |
| #19136324 | 2 |
| #19135481 | 2 |
| #19135344 | 2 |
| #19132708 | 2 |
| C43×#2155 | 2 |
| #13466 | 43 |