Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
324 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 78 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. C2×#11718216 | C2 | semidirect |
| 4. #13130944 | C2 | semidirect |
| 5. #13129897 | C2 | semidirect |
| 6. #13129896 | C2 | semidirect |
| 21. C13×#358 | C4 | semidirect |
| 22. #11718156 | C4 | semidirect |
| 23. #11718101 | C4 | semidirect |
| 24. #11718083 | C4 | semidirect |
| 151. #358 | #261 | semidirect |
| 254. C13 | #13152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718281 | 2 |
| C2×#11718216 | 2 |
| #13130987 | 2 |
| #13130944 | 2 |
| #13129897 | 2 |
| #13129896 | 2 |
| #13116542 | 2 |
| #13152 | 13 |