Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
770 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 770 conjugacy classes of subgroups — too many to draw. Only its 108 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. #13130563 | C2 | semidirect |
| 2. C2×#11718292 | C2 | semidirect |
| 3. #13130012 | C2 | semidirect |
| 5. C2×C13×#127 | C4 | semidirect |
| 17. #11718882 | C4 | semidirect |
| 18. #11718596 | C4 | semidirect |
| 50. #88111 | D4 | semidirect |
| 163. C2×#127 | #261 | semidirect |
| 304. C13 | #9684 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130563 | 2 |
| C2×#11718292 | 2 |
| #13130012 | 2 |
| #13123178 | 2 |
| #9684 | 13 |