Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
560 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 107 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. #13123865 | C2 | semidirect |
| 2. C4×#88073 | C2 | semidirect |
| 3. #13113434 | C2 | semidirect |
| 4. #13112700 | C2 | semidirect |
| 61. #88043 | D4 | semidirect |
| 311. C13 | #9187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123865 | 2 |
| C4×#88073 | 2 |
| #13113434 | 2 |
| #13112700 | 2 |
| C13×#2631 | 2 |
| #9187 | 13 |