Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
186 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 186 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19136475 | C2 | semidirect |
| 3. #19132778 | C2 | semidirect |
| 4. C32×Dic43 | C2 | semidirect |
| 5. C43×#1425 | C2 | semidirect |
| 8. Dic688 | C4 | semidirect |
| 9. #14582738 | C4 | semidirect |
| 10. D1376 | C4 | semidirect |
| 62. #1425 | D43 | semidirect |
| 78. C43 | #13655 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19136904 | 2 |
| #19136475 | 2 |
| #19132778 | 2 |
| C32×Dic43 | 2 |
| C43×#1425 | 2 |
| #13655 | 43 |