Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
636 conjugacy classes of subgroups; only the 351 normal subgroups are shown.
This group has 636 conjugacy classes of subgroups — too many to draw. Only its 351 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. #13116610 | C2 | semidirect |
| 4. C2×#11718086 | C2 | semidirect |
| 11. #11718801 | C4 | semidirect |
| 35. #88052 | C2×C4 | semidirect |
| 37. C2×#6090 | C2×C4 | semidirect |
| 141. C13 | #33404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127939 | 2 |
| #13123431 | 2 |
| #13116610 | 2 |
| C2×#11718086 | 2 |
| C13×#2916 | 2 |
| #33404 | 13 |