Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
206 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 65. #6090 | Q16 | semidirect |
| 162. C13 | #12054 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116745 | 2 |
| #13116741 | 2 |
| C8×#6107 | 2 |
| #13112905 | 2 |
| #13112816 | 2 |
| C16×#1055 | 2 |
| C13×Q8⋊C16 | 2 |
| #12054 | 13 |