Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
376 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13116457 | C2 | semidirect |
| 3. #13112823 | C2 | semidirect |
| 4. #13112820 | C2 | semidirect |
| 5. C13×#1812 | C2 | semidirect |
| 8. C2×#88158 | C4 | semidirect |
| 11. #11718798 | C4 | semidirect |
| 13. #11718796 | C4 | semidirect |
| 18. C2×#88057 | C4 | semidirect |
| 113. #1812 | D13 | semidirect |
| 281. C13 | #11867 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124498 | 2 |
| #13116457 | 2 |
| #13112823 | 2 |
| #13112820 | 2 |
| C13×#1812 | 2 |
| #11867 | 13 |