Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
248 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 102 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 |
|---|---|---|
| 3. #13129755 | C2 | semidirect |
| 4. #13129752 | C2 | semidirect |
| 56. #6092 | M16 | semidirect |
| 149. C13 | #11414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88098 | 2 |
| #13130046 | 2 |
| #13129755 | 2 |
| #13129752 | 2 |
| #13116638 | 2 |
| #11414 | 13 |