Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 456 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 |
|---|---|---|
| 1. C2×#11718568 | C2 | semidirect |
| 3. #13116573 | C2 | semidirect |
| 4. C2×#11718089 | C2 | semidirect |
| 5. #13114891 | C2 | semidirect |
| 6. #13112933 | C2 | semidirect |
| 7. C13×#1388 | C2 | semidirect |
| 23. #11718558 | C4 | semidirect |
| 24. #11718557 | C4 | semidirect |
| 130. #1388 | D13 | semidirect |
| 304. C13 | #13071 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718568 | 2 |
| #13124557 | 2 |
| #13116573 | 2 |
| C2×#11718089 | 2 |
| #13114891 | 2 |
| #13112933 | 2 |
| C13×#1388 | 2 |
| #13071 | 13 |