Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1094 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 1094 conjugacy classes of subgroups — too many to draw. Only its 139 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. #13114598 | C2 | semidirect |
| 3. C2×#11718056 | C2 | semidirect |
| 4. C13×#1749 | C2 | semidirect |
| 115. #1749 | D13 | semidirect |
| 310. C13 | #8337 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719182 | 2 |
| #13114598 | 2 |
| C2×#11718056 | 2 |
| C13×#1749 | 2 |
| #8337 | 13 |