Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
190 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 190 conjugacy classes of subgroups — too many to draw. Only its 75 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 |
|---|---|---|
| 15. #11718114 | C4 | direct (N × H) |
| 93. C4×C13 | Q64 | semidirect |
| 136. C13 | C4×Q64 | semidirect |
| 157. C4 | #11718114 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718114 | 2 |
| C4×Dic104 | 2 |
| #13113035 | 2 |
| #13113017 | 2 |
| #13113016 | 2 |
| C4×#88034 | 2 |
| C4×C13×Q32 | 2 |
| C4×Q64 | 13 |