Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
298 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 298 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 |
|---|---|---|
| 3. #13129752 | C2 | semidirect |
| 30. #88038 | C8 | semidirect |
| 46. C13×C16 | C2×C8 | semidirect |
| 47. #6090 | C2×C8 | semidirect |
| 117. C16 | D13⋊C8 | semidirect |
| 118. C13 | #11404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88098 | 2 |
| #13130030 | 2 |
| #13129752 | 2 |
| C4×#88038 | 2 |
| #11404 | 13 |