Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
398 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 86 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×#11718224 | C2 | semidirect |
| 4. #13130944 | C2 | semidirect |
| 5. #13129897 | C2 | semidirect |
| 6. (C2×#261)⋊C16 | C2 | semidirect |
| 23. C13×#357 | C4 | semidirect |
| 24. #11718154 | C4 | semidirect |
| 25. #11718095 | C4 | semidirect |
| 26. #11718084 | C4 | semidirect |
| 162. #357 | #261 | semidirect |
| 266. C13 | #12939 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719103 | 2 |
| C2×#11718224 | 2 |
| C2×#11718277 | 2 |
| #13130944 | 2 |
| #13129897 | 2 |
| (C2×#261)⋊C16 | 2 |
| #13116540 | 2 |
| #12939 | 13 |