Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
334 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 334 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 |
|---|---|---|
| 3. #13113011 | C2 | semidirect |
| 5. C13×#533 | C4 | semidirect |
| 9. C13×#488 | C4 | semidirect |
| 13. C4×C13×M16 | C4 | semidirect |
| 24. C13×#125 | C2×C4 | semidirect |
| 42. C4×C8×C13 | C2×C4 | semidirect |
| 117. #533 | Dic13 | semidirect |
| 121. #488 | Dic13 | semidirect |
| 127. C4×M16 | Dic13 | semidirect |
| 155. #125 | C2×Dic13 | semidirect |
| 176. C4×C8 | C2×Dic13 | semidirect |
| 219. C13 | #13603 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718134 | 2 |
| C2×#11718133 | 2 |
| #13113011 | 2 |
| C13×#3140 | 2 |
| #13603 | 13 |