Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 135 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. C2×#11718083 | C2 | semidirect |
| 3. C2×C16×Dic13 | C2 | semidirect |
| 4. #13115700 | C2 | semidirect |
| 5. C2×C13×#366 | C2 | semidirect |
| 15. C2×D208 | C4 | semidirect |
| 72. C13×C16 | C22⋊C4 | semidirect |
| 75. C2×#366 | D13 | semidirect |
| 95. C2×Dic13 | D16 | semidirect |
| 193. C16 | #6103 | semidirect |
| 194. C13 | #13235 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D208 | 2 |
| C2×#11718083 | 2 |
| C2×C16×Dic13 | 2 |
| #13115700 | 2 |
| C2×C13×#366 | 2 |
| #13235 | 13 |