Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
676 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 676 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. #13115816 | C2 | semidirect |
| 3. #13113564 | C2 | semidirect |
| 4. #13113473 | C2 | semidirect |
| 5. #13113349 | C2 | semidirect |
| 16. #11719247 | C4 | semidirect |
| 18. D4×Dic26 | C4 | semidirect |
| 350. C13 | #8496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129250 | 2 |
| #13115816 | 2 |
| #13113564 | 2 |
| #13113473 | 2 |
| #13113349 | 2 |
| #13113344 | 2 |
| C13×#1557 | 2 |
| #8496 | 13 |