Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
538 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 538 conjugacy classes of subgroups — too many to draw. Only its 119 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×#11718155 | C2 | semidirect |
| 3. C2×#11718080 | C2 | semidirect |
| 4. #13115729 | C2 | semidirect |
| 5. #13112934 | C2 | semidirect |
| 6. #13112916 | C2 | semidirect |
| 7. C2×C13×#442 | C2 | semidirect |
| 16. C2×#88067 | C4 | semidirect |
| 19. C2×#88066 | C4 | semidirect |
| 44. C2×Dic52 | C2×C4 | semidirect |
| 49. C2×D104 | C2×C4 | semidirect |
| 66. C2×#6090 | C2×C4 | semidirect |
| 119. C2×#442 | D13 | semidirect |
| 295. C13 | #13037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718808 | 2 |
| C2×#11718155 | 2 |
| C2×#11718080 | 2 |
| #13115729 | 2 |
| #13112934 | 2 |
| #13112916 | 2 |
| C2×C13×#442 | 2 |
| #13037 | 13 |