Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
248 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 248 conjugacy classes of subgroups — too many to draw. Only its 98 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. #13129754 | C2 | semidirect |
| 4. #13129754 | C2 | semidirect |
| 5. #13129754 | C2 | semidirect |
| 6. #13129754 | C2 | semidirect |
| 65. #6092 | M16 | semidirect |
| 164. C13 | #11414 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131199 | 2 |
| #13131043 | 2 |
| #13129754 | 2 |
| #13113124 | 2 |
| #11414 | 13 |