Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13112996 | C2 | semidirect |
| 8. C2×C13×C4⋊Q8 | C4 | semidirect |
| 9. C13×#497 | C4 | semidirect |
| 13. C4×C13×M16 | C4 | semidirect |
| 135. C2×C4⋊Q8 | Dic13 | semidirect |
| 136. #497 | Dic13 | semidirect |
| 142. C4×M16 | Dic13 | semidirect |
| 242. C13 | #13580 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116521 | 2 |
| #13116501 | 2 |
| #13112996 | 2 |
| C13×#3152 | 2 |
| #13580 | 13 |