Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 188 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 188 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 |
|---|---|---|
| 3. #13129747 | C2 | semidirect |
| 4. C16×#1057 | C2 | semidirect |
| 24. C2×#6092 | C8 | semidirect |
| 27. C13×M32 | C8 | semidirect |
| 33. #88052 | C8 | semidirect |
| 96. M32 | #1057 | semidirect |
| 129. C13 | #11399 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718257 | 2 |
| #13130039 | 2 |
| #13129747 | 2 |
| C16×#1057 | 2 |
| M32×Dic13 | 2 |
| #11399 | 13 |