Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
450 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 450 conjugacy classes of subgroups — too many to draw. Only its 109 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. C2×#11718088 | C2 | semidirect |
| 4. #13116557 | C2 | semidirect |
| 6. #13112950 | C2 | semidirect |
| 7. C13×#1385 | C2 | semidirect |
| 22. #11718557 | C4 | semidirect |
| 118. #1385 | D13 | semidirect |
| 272. C13 | #13069 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127938 | 2 |
| C2×#11718557 | 2 |
| C2×#11718088 | 2 |
| #13116557 | 2 |
| #13114891 | 2 |
| #13112950 | 2 |
| C13×#1385 | 2 |
| #13069 | 13 |