Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
212 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 57 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. #19136846 | C2 | semidirect |
| 5. Dic43⋊C32 | C2 | semidirect |
| 6. #19132775 | C2 | semidirect |
| 7. C43×#1416 | C2 | semidirect |
| 90. Dic43 | SD64 | semidirect |
| 97. #1416 | D43 | semidirect |
| 115. C43 | #13687 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582738 | 2 |
| C2×#14582736 | 2 |
| #19136846 | 2 |
| #19136441 | 2 |
| Dic43⋊C32 | 2 |
| #19132775 | 2 |
| C43×#1416 | 2 |
| #13687 | 43 |