Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
504 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 100 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 |
|---|---|---|
| 2. #13130138 | C2 | semidirect |
| 4. #13130079 | C2 | semidirect |
| 5. #13129676 | C2 | semidirect |
| 6. #13129662 | C2 | semidirect |
| 75. C2×Q8×C13 | M16 | semidirect |
| 99. C2×C8×C13 | M16 | semidirect |
| 258. C2×Q8 | #6122 | semidirect |
| 285. C2×C8 | #6122 | semidirect |
| 300. C13 | #9091 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131698 | 2 |
| #13130138 | 2 |
| #13130135 | 2 |
| #13130079 | 2 |
| #13129676 | 2 |
| #13129662 | 2 |
| C2×#11718825 | 2 |
| #9091 | 13 |