Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
266 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 266 conjugacy classes of subgroups — too many to draw. Only its 96 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 |
|---|---|---|
| 19. C13×#346 | C4 | semidirect |
| 20. #11718094 | C4 | semidirect |
| 21. C16×Dic13 | C4 | semidirect |
| 22. C4×#6090 | C4 | semidirect |
| 108. #346 | #261 | semidirect |
| 178. C13 | #12911 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#368 | 2 |
| #13131187 | 2 |
| #13131183 | 2 |
| #13130755 | 2 |
| #13116434 | 2 |
| #12911 | 13 |