Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. #13112739 | C2 | semidirect |
| 4. #13112665 | C2 | semidirect |
| 5. C13×#2399 | C2 | semidirect |
| 34. #88128 | Q8 | semidirect |
| 36. #88123 | Q8 | semidirect |
| 85. #2399 | D13 | semidirect |
| 224. C13 | #10370 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115668 | 2 |
| #13113330 | 2 |
| #13112739 | 2 |
| #13112665 | 2 |
| C13×#2399 | 2 |
| #10370 | 13 |