Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
272 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 17. C13×#367 | C4 | semidirect |
| 18. C13×#366 | C4 | semidirect |
| 119. #367 | Dic13 | semidirect |
| 120. #366 | Dic13 | semidirect |
| 199. C13 | #13118 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115575 | 2 |
| #13114722 | 2 |
| #13112944 | 2 |
| #13112941 | 2 |
| #13112935 | 2 |
| #13112915 | 2 |
| C13×#2159 | 2 |
| #13118 | 13 |