Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
308 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 308 conjugacy classes of subgroups — too many to draw. Only its 108 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. #11718220 | C4 | semidirect |
| 20. #11718219 | C4 | semidirect |
| 21. #11718216 | C4 | semidirect |
| 22. C16×#261 | C4 | semidirect |
| 23. C13×#365 | C4 | semidirect |
| 24. #11718105 | C4 | semidirect |
| 25. #11718086 | C4 | semidirect |
| 26. #11718079 | C4 | semidirect |
| 142. #365 | #261 | semidirect |
| 233. C13 | #12668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131184 | 2 |
| M32×#261 | 2 |
| #13130641 | 2 |
| #13130639 | 2 |
| #13129905 | 2 |
| #13129903 | 2 |
| #13116607 | 2 |
| #12668 | 13 |