Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 1. #13114976 | C2 | semidirect |
| 2. #13113604 | C2 | semidirect |
| 5. #13112734 | C2 | semidirect |
| 6. #13112725 | C2 | semidirect |
| 278. C13 | #8917 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114976 | 2 |
| #13113604 | 2 |
| #13113424 | 2 |
| #13113301 | 2 |
| #13112734 | 2 |
| #13112725 | 2 |
| C13×#2995 | 2 |
| #8917 | 13 |