Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
604 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 604 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13121853 | C2 | semidirect |
| 2. #13116071 | C2 | semidirect |
| 3. #13115926 | C2 | semidirect |
| 5. #13112661 | C2 | semidirect |
| 6. #13112660 | C2 | semidirect |
| 7. C13×#1270 | C2 | semidirect |
| 73. C2×D4×C13 | SD16 | semidirect |
| 106. C2×Dic26 | D8 | semidirect |
| 142. #1270 | D13 | semidirect |
| 332. C2×D4 | #6095 | semidirect |
| 373. C13 | #7735 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13121853 | 2 |
| #13116071 | 2 |
| #13115926 | 2 |
| #13115906 | 2 |
| #13112661 | 2 |
| #13112660 | 2 |
| C13×#1270 | 2 |
| #7735 | 13 |