Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
460 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19134398 | C2 | semidirect |
| 4. #19132725 | C2 | semidirect |
| 6. C2×#13063332 | C4 | semidirect |
| 10. #14582923 | C4 | semidirect |
| 12. #14582866 | C4 | semidirect |
| 15. C2×C4×C43⋊C8 | C4 | semidirect |
| 21. C43×#356 | C4 | semidirect |
| 22. C43×#355 | C4 | semidirect |
| 169. #356 | Dic43 | semidirect |
| 170. #355 | Dic43 | semidirect |
| 174. C43 | #12633 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143307 | 2 |
| #19136260 | 2 |
| #19134398 | 2 |
| #19132725 | 2 |
| C43×#2132 | 2 |
| #12633 | 43 |