Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
224 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 119 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. #13112910 | C2 | semidirect |
| 4. #13112908 | C2 | semidirect |
| 54. C13×C16 | M16 | semidirect |
| 142. C16 | #6099 | semidirect |
| 143. C13 | #12025 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13113599 | 2 |
| #13113595 | 2 |
| #13112910 | 2 |
| #13112908 | 2 |
| C4×C13×M32 | 2 |
| #12025 | 13 |