Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
200 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 63 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 |
|---|---|---|
| 64. #6090 | Q16 | semidirect |
| 160. C13 | #12460 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117109 | 2 |
| #13116741 | 2 |
| #13114231 | 2 |
| #13114227 | 2 |
| #13112909 | 2 |
| #13112890 | 2 |
| C13×#1364 | 2 |
| #12460 | 13 |