Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
398 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 398 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×#11718261 | C2 | semidirect |
| 2. C2×#11718251 | C2 | semidirect |
| 3. #13129801 | C2 | direct (N × H) |
| 17. #11718261 | C22 | semidirect |
| 19. #11718251 | C22 | semidirect |
| 30. C2×Dic52 | C8 | semidirect |
| 33. #88158 | C8 | semidirect |
| 35. C2×D104 | C8 | semidirect |
| 84. Dic52 | C2×C8 | semidirect |
| 86. D104 | C2×C8 | semidirect |
| 190. C2×C13 | #1336 | semidirect |
| 234. C13 | C2×#1336 | semidirect |
| 281. C2 | #13129801 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718261 | 2 |
| C2×#11718251 | 2 |
| #13129801 | 2 |
| C2×#11718556 | 2 |
| C2×#1336 | 13 |