Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
216 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 1. #13117151 | C2 | semidirect |
| 2. #13117086 | C2 | semidirect |
| 3. #13116718 | C2 | semidirect |
| 4. #13113027 | C2 | semidirect |
| 5. C13×#1422 | C2 | semidirect |
| 27. Dic104 | D4 | semidirect |
| 32. D208 | D4 | semidirect |
| 57. #1422 | D13 | semidirect |
| 133. C13 | #13692 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117151 | 2 |
| #13117086 | 2 |
| #13116718 | 2 |
| #13113027 | 2 |
| C13×#1422 | 2 |
| #13692 | 13 |