Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
222 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 32. #88069 | C8 | semidirect |
| 166. C13 | #12044 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88069 | 2 |
| Q16×#1055 | 2 |
| #13113642 | 2 |
| #13112909 | 2 |
| #13112801 | 2 |
| #13112752 | 2 |
| C13×#1332 | 2 |
| #12044 | 13 |