Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 450 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 |
|---|---|---|
| 2. #13115612 | C2 | semidirect |
| 4. #13113508 | C2 | semidirect |
| 6. #13112686 | C2 | semidirect |
| 7. C2×C13×#332 | C2 | semidirect |
| 124. C2×#332 | D13 | semidirect |
| 303. C13 | #10550 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125293 | 2 |
| #13115612 | 2 |
| #13113511 | 2 |
| #13113508 | 2 |
| #13113234 | 2 |
| #13112686 | 2 |
| C2×C13×#332 | 2 |
| #10550 | 13 |