Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
128 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 128 conjugacy classes of subgroups — too many to draw. Only its 52 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. C4⋊#88036 | C2 | semidirect |
| 2. #13129943 | C2 | semidirect |
| 99. C13 | #7380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊#88036 | 2 |
| #13129943 | 2 |
| #13116668 | 2 |
| #7380 | 13 |