Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13116501 | C2 | semidirect |
| 2. #13113001 | C2 | semidirect |
| 3. #13112999 | C2 | semidirect |
| 6. C13×#532 | C4 | semidirect |
| 9. C13×#494 | C4 | semidirect |
| 11. C13×#492 | C4 | semidirect |
| 13. C2×C4×C8×C13 | C4 | semidirect |
| 110. #532 | Dic13 | semidirect |
| 113. #494 | Dic13 | semidirect |
| 115. #492 | Dic13 | semidirect |
| 118. C2×C4×C8 | Dic13 | semidirect |
| 201. C13 | #13583 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116501 | 2 |
| #13113001 | 2 |
| #13112999 | 2 |
| C13×#3147 | 2 |
| #13583 | 13 |