Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
134 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 134 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 |
|---|---|---|
| 1. #13130006 | C2 | semidirect |
| 2. #13130005 | C2 | semidirect |
| 3. D13⋊C64 | C2 | semidirect |
| 12. #11718037 | C22 | semidirect |
| 81. D13 | M128 | semidirect |
| 93. C13 | C2×M128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130006 | 2 |
| #13130005 | 2 |
| D13⋊C64 | 2 |
| C2×D13×C32 | 2 |
| C2×M128 | 13 |