Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
890 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 890 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 1. #13131078 | C2 | semidirect |
| 2. C2×#11718304 | C2 | semidirect |
| 3. #13131072 | C2 | semidirect |
| 4. #13131066 | C2 | semidirect |
| 15. C2×#88106 | C22 | semidirect |
| 16. C2×#88106 | C22 | semidirect |
| 17. C22×#6092 | C22 | semidirect |
| 277. C13 | #12685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131078 | 2 |
| C2×#11718304 | 2 |
| #13131072 | 2 |
| #13131066 | 2 |
| #13129548 | 2 |
| #12685 | 13 |