Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 258 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 258 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. #13131251 | C2 | semidirect |
| 2. Q8×#6092 | C2 | semidirect |
| 140. C13 | #33500 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131251 | 2 |
| Q8×#6092 | 2 |
| #13131201 | 2 |
| #13131193 | 2 |
| #13123771 | 2 |
| #33500 | 13 |