Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
306 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 306 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
| 14. #11718249 | C22 | semidirect |
| 166. D13 | #1400 | semidirect |
| 200. C13 | C2×#1400 | 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×D13×M32 | 2 |
| C2×#1400 | 13 |