Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
650 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 650 conjugacy classes of subgroups — too many to draw. Only its 105 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×#11718808 | C2 | semidirect |
| 2. C2×#11718155 | C2 | semidirect |
| 3. #13115724 | C2 | semidirect |
| 4. #13112918 | C2 | semidirect |
| 5. C2×C13×#493 | C2 | semidirect |
| 39. C2×Dic52 | D4 | semidirect |
| 42. C2×D104 | D4 | semidirect |
| 50. #88052 | D4 | semidirect |
| 95. C2×#493 | D13 | semidirect |
| 240. C13 | #13331 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| C2×#11718155 | 2 |
| #13115724 | 2 |
| #13112918 | 2 |
| C2×C13×#493 | 2 |
| #13331 | 13 |