Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 306 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. #1057⋊C16 | C2 | semidirect |
| 4. C16×#1057 | C2 | semidirect |
| 43. C2×#1057 | C16 | semidirect |
| 154. C13 | #11410 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131194 | 2 |
| C2×C8×#1057 | 2 |
| #1057⋊C16 | 2 |
| C16×#1057 | 2 |
| #13116632 | 2 |
| #11410 | 13 |