Finite Group DatabasebetaFinite Group DatabasebetaOrder 11008.
612 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 612 conjugacy classes of subgroups — too many to draw. Only its 111 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 |
|---|---|---|
| 11. C23×Q8×C43 | C4 | semidirect |
| 18. C43×#385 | C4 | semidirect |
| 19. C43×#380 | C4 | semidirect |
| 24. #13063242 | Q8 | semidirect |
| 182. C23×Q8 | Dic43 | semidirect |
| 192. #385 | Dic43 | semidirect |
| 194. #380 | Dic43 | semidirect |
| 197. C43 | #13293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19134583 | 2 |
| C4×#13063242 | 2 |
| #19132713 | 2 |
| C43×#2409 | 2 |
| #13293 | 43 |