Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
282 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 71 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 |
|---|---|---|
| 59. C13×Q16 | Q16 | semidirect |
| 176. Q16 | Dic52 | semidirect |
| 197. C13 | #12406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q16×Dic26 | 2 |
| #13117118 | 2 |
| #13116978 | 2 |
| #13114231 | 2 |
| #13112895 | 2 |
| #13112816 | 2 |
| C13×#1332 | 2 |
| #12406 | 13 |