Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
388 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 388 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 |
|---|---|---|
| 2. #13113007 | C2 | semidirect |
| 4. C13×#533 | C4 | semidirect |
| 6. C13×#490 | C4 | semidirect |
| 10. C4×C13×M16 | C4 | semidirect |
| 22. C13×#125 | C2×C4 | semidirect |
| 30. C13×#97 | C2×C4 | semidirect |
| 87. #533 | Dic13 | semidirect |
| 89. #490 | Dic13 | semidirect |
| 94. C4×M16 | Dic13 | semidirect |
| 120. #125 | C2×Dic13 | semidirect |
| 130. #97 | C2×Dic13 | semidirect |
| 163. C13 | #13595 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718137 | 2 |
| #13113007 | 2 |
| C13×#3138 | 2 |
| #13595 | 13 |