Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
466 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 128 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×#11718284 | C2 | semidirect |
| 3. C4×#88106 | C2 | semidirect |
| 39. #88106 | D4 | semidirect |
| 145. C4×C13 | #349 | semidirect |
| 217. C13 | #13194 | semidirect |
| 258. C4 | #11718284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131168 | 2 |
| C2×#11718284 | 2 |
| C4×#88106 | 2 |
| C2×#11718673 | 2 |
| #13194 | 13 |