Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
274 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 86 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 |
|---|---|---|
| 17. C13×#368 | C4 | semidirect |
| 18. #11718098 | C4 | semidirect |
| 19. #11718085 | C4 | semidirect |
| 101. #368 | #261 | semidirect |
| 173. C13 | #13171 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718221 | 2 |
| #13131044 | 2 |
| #13130954 | 2 |
| #13129912 | 2 |
| D13×#368 | 2 |
| #13171 | 13 |