Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
238 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 74 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. #13130424 | C2 | semidirect |
| 3. #13129868 | C2 | semidirect |
| 4. #13129793 | C2 | semidirect |
| 6. #13129747 | C2 | semidirect |
| 39. #88067 | C8 | semidirect |
| 65. Dic52 | C2×C8 | semidirect |
| 68. #6090 | C2×C8 | semidirect |
| 173. C13 | #12043 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130424 | 2 |
| D8×#1057 | 2 |
| #13129868 | 2 |
| #13129793 | 2 |
| #13129790 | 2 |
| #13129747 | 2 |
| #13116691 | 2 |
| #12043 | 13 |