Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
250 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 250 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 |
|---|---|---|
| 1. C2×#14582738 | C2 | semidirect |
| 2. C2×#14582737 | C2 | semidirect |
| 3. C2×#14582736 | C2 | semidirect |
| 4. #19136846 | C2 | semidirect |
| 6. C32×Dic43 | C2 | semidirect |
| 7. C2×C43×SD64 | C2 | semidirect |
| 37. C43⋊C32 | D4 | semidirect |
| 45. C32×C43 | D4 | semidirect |
| 96. Dic43 | SD64 | semidirect |
| 100. C2×SD64 | D43 | semidirect |
| 123. C43 | #13727 | semidirect |
| 146. C32 | C22⋊D43 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#14582738 | 2 |
| C2×#14582737 | 2 |
| C2×#14582736 | 2 |
| #19136846 | 2 |
| #19136843 | 2 |
| C32×Dic43 | 2 |
| C2×C43×SD64 | 2 |
| #13727 | 43 |