Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
342 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 88 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×D13⋊C32 | C2 | semidirect |
| 2. C2×#11718221 | C2 | semidirect |
| 3. #13129985 | C2 | direct (N × H) |
| 7. C2×C13×D16 | C4 | semidirect |
| 11. D13×D16 | C4 | semidirect |
| 13. C2×D208 | C4 | semidirect |
| 17. #11718221 | C22 | semidirect |
| 19. D13⋊C32 | C22 | semidirect |
| 33. C13×D16 | C2×C4 | semidirect |
| 39. D208 | C2×C4 | semidirect |
| 110. C2×D16 | #261 | semidirect |
| 150. D16 | C2×#261 | semidirect |
| 161. C2×C13 | #1415 | semidirect |
| 164. D13 | #1415 | semidirect |
| 195. C13 | C2×#1415 | semidirect |
| 243. C2 | #13129985 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊C32 | 2 |
| C2×#11718221 | 2 |
| #13129985 | 2 |
| C2×D13×D16 | 2 |
| C2×#1415 | 13 |