Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
476 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 476 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 |
|---|---|---|
| 1. C2×#11719111 | C2 | semidirect |
| 2. C2×#11718281 | C2 | semidirect |
| 3. C2×#11718277 | C2 | semidirect |
| 4. #13130989 | C2 | semidirect |
| 5. #13129896 | C2 | semidirect |
| 6. (C2×#261)⋊C16 | C2 | semidirect |
| 20. C2×C13×SD32 | C4 | semidirect |
| 21. C2×#88069 | C4 | semidirect |
| 22. C2×#88066 | C4 | semidirect |
| 25. C2×#88040 | C4 | semidirect |
| 181. C2×SD32 | #261 | semidirect |
| 319. C13 | #13011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719111 | 2 |
| C2×#11718281 | 2 |
| C2×#11718277 | 2 |
| #13130989 | 2 |
| #13129896 | 2 |
| (C2×#261)⋊C16 | 2 |
| C2×#11718577 | 2 |
| #13011 | 13 |