Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
1088 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 143 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. C2×C4×C22⋊Dic43 | C2 | semidirect |
| 3. C2×#14582634 | C2 | semidirect |
| 4. #19132475 | C2 | semidirect |
| 5. C43×#1779 | C2 | semidirect |
| 6. C2×#13063299 | C4 | semidirect |
| 13. #14582759 | C4 | semidirect |
| 42. C43⋊#95 | D4 | semidirect |
| 199. #1779 | D43 | semidirect |
| 226. C43 | #9150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19142877 | 2 |
| C2×C4×C22⋊Dic43 | 2 |
| C2×#14582634 | 2 |
| #19132475 | 2 |
| C43×#1779 | 2 |
| #9150 | 43 |