Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
184 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 184 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 |
|---|---|---|
| 1. #19136888 | C2 | semidirect |
| 3. #19132792 | C2 | semidirect |
| 4. #19132738 | C2 | semidirect |
| 5. #19132737 | C2 | semidirect |
| 6. #19132728 | C2 | semidirect |
| 7. C43×#2258 | C2 | semidirect |
| 89. #2258 | D43 | semidirect |
| 114. C43 | #13648 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136888 | 2 |
| #19136430 | 2 |
| #19132792 | 2 |
| #19132738 | 2 |
| #19132737 | 2 |
| #19132728 | 2 |
| C43×#2258 | 2 |
| #13648 | 43 |