Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
596 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13114585 | C2 | semidirect |
| 3. C2×#11718056 | C2 | semidirect |
| 4. C13×#1767 | C2 | semidirect |
| 48. #88043 | D4 | semidirect |
| 93. #1767 | D13 | semidirect |
| 252. C13 | #9689 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123193 | 2 |
| #13114585 | 2 |
| C2×#11718056 | 2 |
| C13×#1767 | 2 |
| #9689 | 13 |