Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 460 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. C2×#11718086 | C2 | semidirect |
| 5. #13112941 | C2 | semidirect |
| 6. #13112916 | C2 | semidirect |
| 7. C13×#1946 | C2 | semidirect |
| 23. #11718083 | C4 | semidirect |
| 43. C13×#107 | C2×C4 | semidirect |
| 56. C2×#6090 | C2×C4 | semidirect |
| 100. #1946 | D13 | semidirect |
| 188. #107 | C4×D13 | semidirect |
| 239. C13 | #12956 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718372 | 2 |
| C2×#11718086 | 2 |
| C2×#11718087 | 2 |
| #13116551 | 2 |
| #13112941 | 2 |
| #13112916 | 2 |
| C13×#1946 | 2 |
| #12956 | 13 |