Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
238 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13113721 | C2 | semidirect |
| 2. #13112908 | C2 | semidirect |
| 3. #13112797 | C2 | semidirect |
| 4. C16×#1055 | C2 | semidirect |
| 46. C13×C16 | M16 | semidirect |
| 68. #1055 | D16 | semidirect |
| 123. C16 | #6099 | semidirect |
| 124. C13 | #12081 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113721 | 2 |
| #13112908 | 2 |
| #13112797 | 2 |
| C16×#1055 | 2 |
| C4×C13×D16 | 2 |
| #12081 | 13 |