Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
486 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 486 conjugacy classes of subgroups — too many to draw. Only its 112 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×#11718221 | C2 | semidirect |
| 4. #13129894 | C2 | semidirect |
| 17. C13×C22⋊C16 | C4 | semidirect |
| 18. C22⋊#6090 | C4 | semidirect |
| 19. #11718099 | C4 | semidirect |
| 43. C2×C13×C16 | C2×C4 | semidirect |
| 44. C2×#6090 | C2×C4 | semidirect |
| 145. C22⋊C16 | #261 | semidirect |
| 149. C22×C13 | #366 | semidirect |
| 157. C2×D13 | #366 | semidirect |
| 193. C2×C16 | C2×#261 | semidirect |
| 248. C13 | #12919 | semidirect |
| 305. C22 | #11718221 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88102 | 2 |
| C2×#11718221 | 2 |
| #13130713 | 2 |
| #13129894 | 2 |
| D13×C22⋊C16 | 2 |
| #12919 | 13 |