Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
286 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 78 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. #13129992 | C2 | semidirect |
| 153. D13 | #1420 | semidirect |
| 182. C13 | C2×#1420 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊M64 | 2 |
| D13⋊#368 | 2 |
| #13129992 | 2 |
| C2×D13×Q32 | 2 |
| C2×#1420 | 13 |