Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
458 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 100 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×#11718219 | C2 | semidirect |
| 4. #13129901 | 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 |
| 138. C22⋊C16 | #261 | semidirect |
| 142. C22×C13 | #365 | semidirect |
| 150. C2×D13 | #365 | semidirect |
| 179. C2×C16 | C2×#261 | semidirect |
| 232. C13 | #12929 | semidirect |
| 279. C22 | #11718219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88101 | 2 |
| C2×#11718219 | 2 |
| #13130715 | 2 |
| #13129901 | 2 |
| #13116445 | 2 |
| #12929 | 13 |