Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
402 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 402 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13116610 | C2 | semidirect |
| 5. #13112952 | C2 | semidirect |
| 6. #13112951 | C2 | semidirect |
| 7. C13×#2155 | C2 | semidirect |
| 22. #11718106 | C4 | semidirect |
| 44. C13×M32 | C2×C4 | semidirect |
| 56. #88052 | C2×C4 | semidirect |
| 103. #2155 | D13 | semidirect |
| 189. M32 | C4×D13 | semidirect |
| 248. C13 | #12932 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123424 | 2 |
| #13116610 | 2 |
| C2×#11718106 | 2 |
| #13114875 | 2 |
| #13112952 | 2 |
| #13112951 | 2 |
| C13×#2155 | 2 |
| #12932 | 13 |