Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
176 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 176 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. #13117110 | C2 | semidirect |
| 3. #13113035 | C2 | semidirect |
| 4. #13113031 | C2 | semidirect |
| 7. C13×#1423 | C2 | semidirect |
| 31. D208 | Q8 | semidirect |
| 54. #1423 | D13 | semidirect |
| 129. C13 | #13703 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117110 | 2 |
| #13116682 | 2 |
| #13113035 | 2 |
| #13113031 | 2 |
| #13113015 | 2 |
| #13113013 | 2 |
| C13×#1423 | 2 |
| #13703 | 13 |