Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 132 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. #13131168 | C2 | semidirect |
| 2. C2×#11718304 | C2 | semidirect |
| 3. C2×C4×#6092 | C2 | semidirect |
| 35. C2×#6092 | D4 | semidirect |
| 112. C4×C13 | #350 | semidirect |
| 170. C13 | #13191 | semidirect |
| 199. C4 | #11718304 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131168 | 2 |
| C2×#11718304 | 2 |
| C2×C4×#6092 | 2 |
| #13123548 | 2 |
| #13191 | 13 |