Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
386 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 122 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 |
|---|---|---|
| 3. #13129792 | C2 | semidirect |
| 23. C2×C13×Q16 | C8 | semidirect |
| 139. C2×Q16 | #1057 | semidirect |
| 199. C13 | #11594 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131042 | 2 |
| #13130383 | 2 |
| #13129792 | 2 |
| C2×Q16×Dic13 | 2 |
| #11594 | 13 |