Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
400 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#11718057 | C2 | semidirect |
| 4. #13113191 | C2 | semidirect |
| 5. #13112735 | C2 | semidirect |
| 6. #13112680 | C2 | semidirect |
| 327. C13 | #9266 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126000 | 2 |
| #13113456 | 2 |
| C2×#11718057 | 2 |
| #13113191 | 2 |
| #13112735 | 2 |
| #13112680 | 2 |
| C13×#2968 | 2 |
| #9266 | 13 |