Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
540 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 540 conjugacy classes of subgroups — too many to draw. Only its 144 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 |
|---|---|---|
| 16. #11718303 | C4 | semidirect |
| 18. C13×#333 | C4 | semidirect |
| 19. #11718138 | C4 | semidirect |
| 20. #11718073 | C4 | semidirect |
| 132. #333 | #261 | direct (N × H) |
| 141. #261 | #333 | direct (N × H) |
| 216. C13 | C4×#333 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊Q8×#261 | 2 |
| C4⋊C8×#261 | 2 |
| D13⋊#333 | 2 |
| #13129715 | 2 |
| D13×#333 | 2 |
| C4×#333 | 13 |