Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1482 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 1482 conjugacy classes of subgroups — too many to draw. Only its 291 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 |
|---|---|---|
| 2. #13116002 | C2 | direct (N × H) |
| 22. C23×Dic13 | Q8 | semidirect |
| 59. C22×Dic13 | C2×Q8 | semidirect |
| 146. C2×C13 | #2030 | semidirect |
| 178. C13 | C2×#2030 | semidirect |
| 226. C2 | #13116002 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718604 | 2 |
| #13116002 | 2 |
| C2×#11718118 | 2 |
| C2×C13×#543 | 2 |
| C2×#2030 | 13 |