Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
388 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 84 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 |
|---|---|---|
| 25. C13×#362 | C4 | semidirect |
| 26. #11718157 | C4 | semidirect |
| 27. #11718109 | C4 | semidirect |
| 28. #11718088 | C4 | semidirect |
| 171. #362 | #261 | semidirect |
| 281. C13 | #12941 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131597 | 2 |
| #13131188 | 2 |
| C2×#11718280 | 2 |
| #13130954 | 2 |
| #13129899 | 2 |
| #13129892 | 2 |
| D13×#362 | 2 |
| #12941 | 13 |