Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
350 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 128 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. C13×#346 | C4 | semidirect |
| 18. #11718094 | C4 | semidirect |
| 19. #11718053 | C4 | semidirect |
| 66. C13×C16 | C4⋊C4 | semidirect |
| 67. #6090 | C4⋊C4 | semidirect |
| 107. #346 | #261 | semidirect |
| 173. C16 | C4⋊#261 | semidirect |
| 174. C13 | #12908 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718222 | 2 |
| C2×#11718221 | 2 |
| #13130773 | 2 |
| #13130772 | 2 |
| D13×#346 | 2 |
| #12908 | 13 |