Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
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 |
|---|---|---|
| 5. C23×Q8×C13 | C4 | semidirect |
| 12. C13×#385 | C4 | semidirect |
| 13. C13×#380 | C4 | semidirect |
| 48. #88073 | Q8 | semidirect |
| 148. C23×Q8 | Dic13 | semidirect |
| 158. #385 | Dic13 | semidirect |
| 160. #380 | Dic13 | semidirect |
| 275. C13 | #13293 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114824 | 2 |
| C4×#88073 | 2 |
| #13112954 | 2 |
| C13×#2409 | 2 |
| #13293 | 13 |