Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
534 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 534 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 |
|---|---|---|
| 1. C8×C22⋊Dic43 | C2 | semidirect |
| 3. #19132482 | C2 | semidirect |
| 4. #19132480 | C2 | semidirect |
| 10. #14582636 | C4 | semidirect |
| 11. #14582633 | C4 | semidirect |
| 12. C2×#131×C43 | C4 | semidirect |
| 17. C43×#424 | C4 | semidirect |
| 18. C43×#408 | C4 | semidirect |
| 20. C43×#405 | C4 | semidirect |
| 149. C2×#131 | Dic43 | semidirect |
| 154. #424 | Dic43 | semidirect |
| 155. #408 | Dic43 | semidirect |
| 158. #405 | Dic43 | semidirect |
| 164. C43 | #8238 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×C22⋊Dic43 | 2 |
| #19133086 | 2 |
| #19132482 | 2 |
| #19132480 | 2 |
| C43×#2929 | 2 |
| #8238 | 43 |