Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
186 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 2. #19136477 | C2 | semidirect |
| 3. #19132798 | C2 | semidirect |
| 4. #19132779 | C2 | semidirect |
| 5. #19132778 | C2 | semidirect |
| 6. C4×C43⋊C32 | C2 | semidirect |
| 7. C43×#2178 | C2 | semidirect |
| 10. #14582739 | C4 | semidirect |
| 11. #14582737 | C4 | semidirect |
| 12. #14582736 | C4 | semidirect |
| 13. #14582734 | C4 | semidirect |
| 90. #2178 | D43 | semidirect |
| 114. C43 | #13655 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136902 | 2 |
| #19136477 | 2 |
| #19132798 | 2 |
| #19132779 | 2 |
| #19132778 | 2 |
| C4×C43⋊C32 | 2 |
| C43×#2178 | 2 |
| #13655 | 43 |