Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
290 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 290 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. #13129986 | C2 | semidirect |
| 7. C2×C13×Q32 | C4 | semidirect |
| 11. D13×Q32 | C4 | semidirect |
| 13. C2×Dic104 | C4 | semidirect |
| 107. C2×Q32 | #261 | semidirect |
| 183. C13 | #13618 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊M64 | 2 |
| #13131187 | 2 |
| #13129986 | 2 |
| C2×D13×Q32 | 2 |
| #13618 | 13 |