Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 434 conjugacy classes of subgroups — too many to draw. Only its 112 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×#11718260 | C2 | semidirect |
| 2. C2×#11718255 | C2 | semidirect |
| 3. #13129848 | C2 | direct (N × H) |
| 17. #11718260 | C22 | semidirect |
| 19. #11718255 | C22 | semidirect |
| 184. C2×C13 | #1360 | semidirect |
| 226. C13 | C2×#1360 | semidirect |
| 273. C2 | #13129848 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718260 | 2 |
| C2×#11718255 | 2 |
| #13129848 | 2 |
| C2×#11718816 | 2 |
| C2×#1360 | 13 |