Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
632 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13118015 | C2 | semidirect |
| 3. C2×#11718070 | C2 | semidirect |
| 5. #13112963 | C2 | semidirect |
| 6. #13112962 | C2 | semidirect |
| 16. #11718907 | C4 | semidirect |
| 401. C13 | #13056 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718907 | 2 |
| #13118015 | 2 |
| C2×#11718070 | 2 |
| #13114795 | 2 |
| #13112963 | 2 |
| #13112962 | 2 |
| C13×#1793 | 2 |
| #13056 | 13 |