Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
522 conjugacy classes of subgroups; only the 164 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 164 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. #13131042 | C2 | semidirect |
| 3. #13129883 | C2 | semidirect |
| 15. #11718263 | C4 | semidirect |
| 37. #88106 | C2×C4 | semidirect |
| 143. Dic13 | #349 | semidirect |
| 212. C13 | C4×#349 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718263 | 2 |
| #13131042 | 2 |
| #13129883 | 2 |
| C2×#11718368 | 2 |
| C4×#349 | 13 |