Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
786 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 786 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #13112740 | C2 | semidirect |
| 5. C2×C13×#117 | C4 | semidirect |
| 7. C13×#379 | C4 | semidirect |
| 81. C2×#117 | Dic13 | semidirect |
| 85. #379 | Dic13 | semidirect |
| 150. C13 | #8748 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114751 | 2 |
| #13112740 | 2 |
| C13×#2309 | 2 |
| #8748 | 13 |