Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
290 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 290 conjugacy classes of subgroups — too many to draw. Only its 96 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⋊M64 | C2 | semidirect |
| 2. #13129952 | C2 | semidirect |
| 3. #13129951 | C2 | semidirect |
| 173. C13 | #13556 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊M64 | 2 |
| #13129952 | 2 |
| #13129951 | 2 |
| C2×#11718562 | 2 |
| #13556 | 13 |