Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13116556 | C2 | semidirect |
| 5. #13112942 | C2 | semidirect |
| 6. #13112941 | C2 | semidirect |
| 7. C13×#2141 | C2 | semidirect |
| 16. #11718850 | C4 | semidirect |
| 33. C2×C13×Q16 | C2×C4 | semidirect |
| 64. #88057 | C2×C4 | semidirect |
| 124. #2141 | D13 | semidirect |
| 205. C2×Q16 | C4×D13 | semidirect |
| 297. C13 | #13000 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718850 | 2 |
| #13123424 | 2 |
| #13116556 | 2 |
| C2×#11718106 | 2 |
| #13112942 | 2 |
| #13112941 | 2 |
| C13×#2141 | 2 |
| #13000 | 13 |