Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 402 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 |
|---|---|---|
| 2. C2×#11718081 | C2 | semidirect |
| 4. #13115619 | C2 | semidirect |
| 5. #13112945 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 23. #11718159 | C4 | semidirect |
| 53. #88059 | C2×C4 | semidirect |
| 60. C2×#6090 | C2×C4 | semidirect |
| 265. C13 | #12945 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123712 | 2 |
| C2×#11718081 | 2 |
| C2×#11718159 | 2 |
| #13115619 | 2 |
| #13112945 | 2 |
| #13112926 | 2 |
| C13×#2139 | 2 |
| #12945 | 13 |