Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
396 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 27. #11718057 | C4 | semidirect |
| 278. C13 | #8915 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118021 | 2 |
| #13115805 | 2 |
| #13114970 | 2 |
| #13114969 | 2 |
| C2×#11718057 | 2 |
| #13112718 | 2 |
| C13×#1295 | 2 |
| #8915 | 13 |