Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
302 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 302 conjugacy classes of subgroups — too many to draw. Only its 80 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×#11718214 | C2 | semidirect |
| 2. C2×#11718222 | C2 | semidirect |
| 3. #13129990 | C2 | direct (N × H) |
| 7. C2×C13×Q32 | C4 | semidirect |
| 11. #11718580 | C4 | semidirect |
| 13. C2×D208 | C4 | semidirect |
| 17. #11718222 | C22 | semidirect |
| 19. #11718214 | C22 | semidirect |
| 33. C13×Q32 | C2×C4 | semidirect |
| 39. D208 | C2×C4 | semidirect |
| 106. C2×Q32 | #261 | semidirect |
| 139. Q32 | C2×#261 | semidirect |
| 153. C2×C13 | #1418 | semidirect |
| 186. C13 | C2×#1418 | semidirect |
| 225. C2 | #13129990 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718214 | 2 |
| C2×#11718222 | 2 |
| #13129990 | 2 |
| C2×#11718580 | 2 |
| C2×#1418 | 13 |