Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
378 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 378 conjugacy classes of subgroups — too many to draw. Only its 99 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. #13125375 | C2 | semidirect |
| 4. #13112946 | C2 | semidirect |
| 5. #13112933 | C2 | semidirect |
| 6. #13112925 | C2 | semidirect |
| 31. C2×C13×D8 | Q8 | semidirect |
| 183. C2×D8 | Dic26 | semidirect |
| 262. C13 | #13369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125375 | 2 |
| #13116552 | 2 |
| C2×#11718154 | 2 |
| #13112946 | 2 |
| #13112933 | 2 |
| #13112925 | 2 |
| C13×#1978 | 2 |
| #13369 | 13 |