Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 126 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 126 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 |
|---|---|---|
| 34. C13×#108 | C8 | semidirect |
| 129. #108 | #1057 | semidirect |
| 174. C13 | #9607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130387 | 2 |
| C2×#11718253 | 2 |
| #13130039 | 2 |
| #13129682 | 2 |
| #108×Dic13 | 2 |
| #9607 | 13 |