Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
234 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 120 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. #13129861 | C2 | semidirect |
| 3. #13129860 | C2 | semidirect |
| 21. C2×C13×C16 | C8 | semidirect |
| 91. C2×C16 | #1057 | semidirect |
| 121. C13 | #11999 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130383 | 2 |
| #13129861 | 2 |
| #13129860 | 2 |
| C2×#11718094 | 2 |
| #11999 | 13 |