Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
194 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 194 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #13113037 | C2 | semidirect |
| 5. #13113036 | C2 | semidirect |
| 6. #13113035 | C2 | semidirect |
| 7. C13×#1424 | C2 | semidirect |
| 19. #11718039 | C4 | semidirect |
| 33. C13×C32 | C2×C4 | semidirect |
| 34. #88034 | C2×C4 | semidirect |
| 56. #1424 | D13 | semidirect |
| 109. C32 | C4×D13 | semidirect |
| 130. C13 | #13634 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718039 | 2 |
| #13116617 | 2 |
| D13×#366 | 2 |
| #13113037 | 2 |
| #13113036 | 2 |
| #13113035 | 2 |
| C13×#1424 | 2 |
| #13634 | 13 |