Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 120 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. #13131803 | C2 | semidirect |
| 2. #13131072 | C2 | semidirect |
| 3. #13131063 | C2 | semidirect |
| 4. #13129886 | C2 | semidirect |
| 48. C2×#6092 | D4 | semidirect |
| 233. C13 | #12981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131803 | 2 |
| #13131072 | 2 |
| #13131063 | 2 |
| #13129886 | 2 |
| #13123531 | 2 |
| #12981 | 13 |