Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 532 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. #13115821 | C2 | semidirect |
| 4. #13115257 | C2 | semidirect |
| 5. #13115016 | C2 | semidirect |
| 6. #13112703 | C2 | semidirect |
| 122. C13×C22⋊C4 | SD16 | semidirect |
| 394. C22⋊C4 | #6105 | semidirect |
| 397. C13 | #10565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125593 | 2 |
| #13115821 | 2 |
| #13115265 | 2 |
| #13115257 | 2 |
| #13115016 | 2 |
| #13112703 | 2 |
| C13×#1964 | 2 |
| #10565 | 13 |