Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
376 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 376 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 |
|---|---|---|
| 1. C4×C4⋊#1055 | C2 | semidirect |
| 2. #13113612 | C2 | semidirect |
| 5. #13112731 | C2 | semidirect |
| 6. #13112669 | C2 | semidirect |
| 18. #11718139 | C4 | semidirect |
| 19. #11718136 | C4 | semidirect |
| 249. C13 | #9577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊#1055 | 2 |
| #13113612 | 2 |
| #13113485 | 2 |
| #13113235 | 2 |
| #13112731 | 2 |
| #13112669 | 2 |
| C13×#1962 | 2 |
| #9577 | 13 |