Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
170 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 8. #11718223 | C4 | semidirect |
| 11. C2×C13×C32 | C4 | semidirect |
| 12. C2×#88034 | C4 | semidirect |
| 70. C2×C32 | #261 | semidirect |
| 120. C13 | #7473 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#368 | 2 |
| #13131187 | 2 |
| C2×D13×C32 | 2 |
| #7473 | 13 |