Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
298 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 298 conjugacy classes of subgroups — too many to draw. Only its 156 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. #13129753 | C2 | semidirect |
| 4. #13129752 | C2 | semidirect |
| 27. C13×M32 | C8 | semidirect |
| 33. #88052 | C8 | semidirect |
| 52. C13×C16 | C2×C8 | semidirect |
| 53. #6090 | C2×C8 | semidirect |
| 100. M32 | #1057 | semidirect |
| 131. C16 | C2×#1057 | semidirect |
| 132. C13 | #11404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131042 | 2 |
| C2×#11718251 | 2 |
| #13129753 | 2 |
| #13129752 | 2 |
| M32×Dic13 | 2 |
| #11404 | 13 |