Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
216 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 63 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. C2×#11718112 | C2 | semidirect |
| 3. #13117097 | C2 | semidirect |
| 4. C4⋊#88034 | C2 | semidirect |
| 5. #13113016 | C2 | semidirect |
| 6. #13113013 | C2 | semidirect |
| 7. C4×C13×D16 | C2 | semidirect |
| 66. C4×D16 | D13 | semidirect |
| 159. C13 | #13689 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718112 | 2 |
| C2×#11718111 | 2 |
| #13117097 | 2 |
| C4⋊#88034 | 2 |
| #13113016 | 2 |
| #13113013 | 2 |
| C4×C13×D16 | 2 |
| #13689 | 13 |