Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
434 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 434 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 |
|---|---|---|
| 22. #11718282 | C4 | semidirect |
| 26. C13×#362 | C4 | semidirect |
| 27. #11718157 | C4 | semidirect |
| 28. #11718109 | C4 | semidirect |
| 29. #11718088 | C4 | semidirect |
| 180. #362 | #261 | direct (N × H) |
| 193. #261 | #362 | direct (N × H) |
| 295. C13 | C4×#362 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q16×#261 | 2 |
| D13⋊#362 | 2 |
| M32×#261 | 2 |
| #108×#261 | 2 |
| #13129912 | 2 |
| #13129911 | 2 |
| D13×#362 | 2 |
| C4×#362 | 13 |