Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
390 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 390 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13120494 | C2 | semidirect |
| 4. #13112728 | C2 | semidirect |
| 5. #13112700 | C2 | semidirect |
| 6. #13112691 | C2 | semidirect |
| 289. C13 | #10380 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13120494 | 2 |
| #13115756 | 2 |
| #13113344 | 2 |
| #13112728 | 2 |
| #13112700 | 2 |
| #13112691 | 2 |
| C13×#1514 | 2 |
| #10380 | 13 |