Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
442 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 116 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. #13131037 | C2 | semidirect |
| 3. C4×#88104 | C2 | semidirect |
| 4. #13129897 | C2 | semidirect |
| 20. #11718277 | C4 | semidirect |
| 47. #88104 | C2×C4 | semidirect |
| 49. D13⋊C16 | C2×C4 | semidirect |
| 255. C13 | #12640 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718277 | 2 |
| #13131037 | 2 |
| C4×#88104 | 2 |
| #13129897 | 2 |
| C4×#88166 | 2 |
| #12640 | 13 |