Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 122 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. C4×D13⋊C16 | C2 | semidirect |
| 3. C4×#88104 | C2 | semidirect |
| 4. #13129897 | C2 | semidirect |
| 20. #11718281 | C4 | direct (N × H) |
| 47. #88104 | C2×C4 | semidirect |
| 49. D13⋊C16 | C2×C4 | semidirect |
| 165. C4×C13 | #359 | semidirect |
| 170. Dic13 | #359 | semidirect |
| 255. C13 | C4×#359 | semidirect |
| 299. C4 | #11718281 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718281 | 2 |
| C4×D13⋊C16 | 2 |
| C4×#88104 | 2 |
| #13129897 | 2 |
| C4×#88173 | 2 |
| C4×#359 | 13 |