Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
424 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 87. C2×C8×C13 | Q16 | semidirect |
| 259. C2×C8 | Dic52 | semidirect |
| 278. C13 | #9048 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124876 | 2 |
| #13123776 | 2 |
| #13115776 | 2 |
| #13113491 | 2 |
| #13113266 | 2 |
| #13112732 | 2 |
| C13×#1281 | 2 |
| #9048 | 13 |