Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 115 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. #13113584 | C2 | semidirect |
| 4. #13112694 | C2 | semidirect |
| 5. C13×#1835 | C2 | semidirect |
| 14. #11718349 | C4 | semidirect |
| 16. C8×D52 | C4 | semidirect |
| 86. #1835 | D13 | semidirect |
| 218. C13 | #8678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123549 | 2 |
| #13113584 | 2 |
| #13113395 | 2 |
| #13112694 | 2 |
| C13×#1835 | 2 |
| #8678 | 13 |