Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 18. #11718139 | C4 | semidirect |
| 19. #11718138 | C4 | semidirect |
| 226. C13 | #9579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊#1055 | 2 |
| #13113608 | 2 |
| #13113493 | 2 |
| #13113239 | 2 |
| #13112731 | 2 |
| #13112669 | 2 |
| C13×#1994 | 2 |
| #9579 | 13 |