Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
232 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 1. #13131250 | C2 | semidirect |
| 3. #13129866 | C2 | semidirect |
| 4. #13129803 | C2 | semidirect |
| 6. #13129751 | C2 | semidirect |
| 53. #6105 | C16 | semidirect |
| 88. Dic26 | C2×C16 | semidirect |
| 94. #1055 | C2×C16 | semidirect |
| 173. C13 | SD16⋊C16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131250 | 2 |
| D4×#6092 | 2 |
| #13129866 | 2 |
| #13129803 | 2 |
| D4⋊#6092 | 2 |
| #13129751 | 2 |
| #13113639 | 2 |
| SD16⋊C16 | 13 |