Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
330 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 330 conjugacy classes of subgroups — too many to draw. Only its 107 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. C2×#11718091 | C2 | semidirect |
| 3. #13113013 | C2 | semidirect |
| 4. C13×#2158 | C2 | semidirect |
| 10. C2×D208 | C4 | semidirect |
| 13. C13×#366 | C22 | semidirect |
| 15. C2×#88034 | C22 | semidirect |
| 55. #2158 | D13 | semidirect |
| 82. #366 | C2×D13 | semidirect |
| 133. C13 | #13617 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D208 | 2 |
| C2×#11718091 | 2 |
| #13113013 | 2 |
| C13×#2158 | 2 |
| #13617 | 13 |