Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
422 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 422 conjugacy classes of subgroups — too many to draw. Only its 102 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. D13⋊(C4⋊C16) | C2 | semidirect |
| 3. #13130776 | C2 | semidirect |
| 4. #13129897 | C2 | semidirect |
| 185. Dic13 | #359 | semidirect |
| 281. C13 | #12815 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊(C4⋊C16) | 2 |
| C2×#11718277 | 2 |
| #13130776 | 2 |
| #13129897 | 2 |
| C4×#88166 | 2 |
| #12815 | 13 |