Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
542 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13115657 | C2 | semidirect |
| 4. C2×#11718135 | C2 | semidirect |
| 6. #13112718 | C2 | semidirect |
| 7. C2×C13×#501 | C2 | semidirect |
| 127. C2×#501 | D13 | semidirect |
| 317. C13 | #10086 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718750 | 2 |
| #13122886 | 2 |
| #13115657 | 2 |
| C2×#11718135 | 2 |
| C2×#11718056 | 2 |
| #13112718 | 2 |
| C2×C13×#501 | 2 |
| #10086 | 13 |