Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
380 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 86 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. #13129909 | C2 | semidirect |
| 4. #13129903 | C2 | semidirect |
| 11. C13×#427 | C4 | semidirect |
| 12. C2×#88057 | C4 | semidirect |
| 16. #11718521 | C4 | semidirect |
| 18. D13×#106 | C4 | semidirect |
| 147. #427 | #261 | semidirect |
| 256. C13 | #12873 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131073 | 2 |
| #13130718 | 2 |
| #13129909 | 2 |
| #13129903 | 2 |
| #13123428 | 2 |
| #12873 | 13 |