Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
376 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #13113610 | C2 | semidirect |
| 5. #13112733 | C2 | semidirect |
| 6. #13112669 | C2 | semidirect |
| 7. C4×C13×C4⋊C8 | C2 | semidirect |
| 19. #11718077 | C4 | semidirect |
| 21. #11718074 | C4 | semidirect |
| 96. C4×C4⋊C8 | D13 | semidirect |
| 249. C13 | #9577 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115664 | 2 |
| #13113610 | 2 |
| #13113486 | 2 |
| #13113234 | 2 |
| #13112733 | 2 |
| #13112669 | 2 |
| C4×C13×C4⋊C8 | 2 |
| #9577 | 13 |