Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
508 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 508 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×#11719104 | C2 | semidirect |
| 2. C2×#11718278 | C2 | semidirect |
| 3. C2×#11718275 | C2 | semidirect |
| 4. #13130985 | C2 | semidirect |
| 5. #13129901 | C2 | semidirect |
| 6. #13129876 | C2 | semidirect |
| 20. C2×C13×D16 | C4 | semidirect |
| 21. C2×#88067 | C4 | semidirect |
| 22. C2×#88066 | C4 | semidirect |
| 25. C2×#88040 | C4 | semidirect |
| 112. C13×D8 | C22⋊C4 | semidirect |
| 120. Dic52 | C22⋊C4 | semidirect |
| 188. C2×D16 | #261 | semidirect |
| 310. D8 | C22⋊#261 | semidirect |
| 334. C13 | #13040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719104 | 2 |
| C2×#11718278 | 2 |
| C2×#11718275 | 2 |
| #13130985 | 2 |
| #13129901 | 2 |
| #13129876 | 2 |
| C2×#11718572 | 2 |
| #13040 | 13 |