Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
536 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 536 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13114874 | C2 | semidirect |
| 3. #13113351 | C2 | semidirect |
| 4. #13113195 | C2 | semidirect |
| 5. C13×#1752 | C2 | semidirect |
| 8. C22×D104 | C4 | semidirect |
| 17. C2×#88061 | C4 | semidirect |
| 19. C2×#88058 | C4 | semidirect |
| 105. #1752 | D13 | semidirect |
| 272. C13 | #9818 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718776 | 2 |
| #13114874 | 2 |
| #13113351 | 2 |
| #13113195 | 2 |
| C13×#1752 | 2 |
| #9818 | 13 |