Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
440 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. #13113612 | C2 | semidirect |
| 4. #13113508 | C2 | semidirect |
| 6. #13112732 | C2 | semidirect |
| 7. C13×#1546 | C2 | semidirect |
| 111. #1546 | D13 | semidirect |
| 276. C13 | #10444 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718744 | 2 |
| #13114825 | 2 |
| #13113612 | 2 |
| #13113508 | 2 |
| #13113228 | 2 |
| #13112732 | 2 |
| C13×#1546 | 2 |
| #10444 | 13 |