Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
710 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 710 conjugacy classes of subgroups — too many to draw. Only its 132 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 |
|---|---|---|
| 1. #13130964 | C2 | semidirect |
| 2. #13130771 | C2 | semidirect |
| 3. #13130030 | C2 | semidirect |
| 11. C13×#493 | C4 | semidirect |
| 13. #11718734 | C4 | semidirect |
| 14. #11718356 | C4 | semidirect |
| 96. C8×C13 | #102 | semidirect |
| 97. #1055 | #102 | semidirect |
| 103. #493 | #261 | semidirect |
| 183. C13 | #9837 | semidirect |
| 208. C8 | #88115 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130964 | 2 |
| #13130771 | 2 |
| #13130030 | 2 |
| D13×#493 | 2 |
| #9837 | 13 |