Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 144 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×#11718257 | C2 | semidirect |
| 2. C2×#11718254 | C2 | semidirect |
| 3. #13129790 | C2 | direct (N × H) |
| 17. #11718257 | C22 | semidirect |
| 19. #11718254 | C22 | semidirect |
| 25. C2×C13×D8 | C8 | semidirect |
| 66. C13×D8 | C2×C8 | semidirect |
| 153. C2×D8 | #1057 | semidirect |
| 178. C2×C13 | #1331 | semidirect |
| 197. D8 | C2×#1057 | semidirect |
| 216. C13 | C2×#1331 | semidirect |
| 265. C2 | #13129790 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718257 | 2 |
| C2×#11718254 | 2 |
| #13129790 | 2 |
| C2×D8×Dic13 | 2 |
| C2×#1331 | 13 |