Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
490 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 2. C4×#88106 | C2 | semidirect |
| 3. #13129884 | C2 | semidirect |
| 15. #11718263 | C4 | semidirect |
| 205. C13 | #12602 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718263 | 2 |
| C4×#88106 | 2 |
| #13129884 | 2 |
| C2×#11718369 | 2 |
| #12602 | 13 |