Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 163 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. #13116989 | C2 | semidirect |
| 4. #13116887 | C2 | semidirect |
| 77. C2×C4×C13 | Q32 | semidirect |
| 167. C13 | #33815 | semidirect |
| 177. C2×C4 | Dic104 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125422 | 2 |
| #13116989 | 2 |
| #13116927 | 2 |
| #13116887 | 2 |
| C2×C13×C4⋊C16 | 2 |
| #33815 | 13 |