Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
222 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13112907 | C2 | semidirect |
| 128. C13 | #12032 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116635 | 2 |
| C2×#11718050 | 2 |
| #13112907 | 2 |
| C13×#1567 | 2 |
| #12032 | 13 |