Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
382 conjugacy classes of subgroups; only the 116 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 116 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. #13131059 | C2 | semidirect |
| 4. C2×#11718262 | C2 | semidirect |
| 5. #13129887 | C2 | semidirect |
| 6. #13129884 | C2 | semidirect |
| 14. #11719096 | C4 | semidirect |
| 20. #11718270 | C4 | semidirect |
| 239. C13 | #12618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131805 | 2 |
| #13131080 | 2 |
| #13131059 | 2 |
| C2×#11718262 | 2 |
| #13129887 | 2 |
| #13129884 | 2 |
| #13114679 | 2 |
| #12618 | 13 |