Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
318 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 120 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 |
|---|---|---|
| 17. C4×C13×C16 | C4 | semidirect |
| 18. #11718094 | C4 | semidirect |
| 19. #11718094 | C4 | semidirect |
| 20. C4×#6090 | C4 | semidirect |
| 110. C4×C16 | #261 | semidirect |
| 176. C13 | #12904 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718220 | 2 |
| C2×#11718219 | 2 |
| #13130776 | 2 |
| #13130773 | 2 |
| C4×#88038 | 2 |
| #12904 | 13 |