Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
994 conjugacy classes of subgroups; only the 248 normal subgroups are shown.
This group has 994 conjugacy classes of subgroups — too many to draw. Only its 248 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. #13130342 | C2 | direct (N × H) |
| 3. C2×#11718245 | C2 | semidirect |
| 20. #11718245 | C22 | semidirect |
| 186. C2×C13 | #1544 | semidirect |
| 225. C13 | C2×#1544 | semidirect |
| 266. C2 | #13130342 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719049 | 2 |
| #13130342 | 2 |
| C2×#11718245 | 2 |
| C2×#11719393 | 2 |
| C2×#1544 | 13 |