Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
366 conjugacy classes of subgroups; only the 159 normal subgroups are shown.
This group has 366 conjugacy classes of subgroups — too many to draw. Only its 159 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 |
|---|---|---|
| 13. C16×Dic13 | C4 | semidirect |
| 14. #11718081 | C4 | semidirect |
| 52. #6090 | C42 | semidirect |
| 98. Dic13 | #366 | semidirect |
| 141. C13 | C4×#366 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718081 | 2 |
| C2×C16×Dic13 | 2 |
| #107×Dic13 | 2 |
| #13112928 | 2 |
| C13×#1380 | 2 |
| C4×#366 | 13 |