Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 4. #13112662 | C2 | semidirect |
| 5. #13112659 | C2 | semidirect |
| 6. #13112659 | C2 | semidirect |
| 7. C13×#2805 | C2 | semidirect |
| 108. C13×C4⋊C4 | SD16 | semidirect |
| 121. #2805 | D13 | semidirect |
| 326. C4⋊C4 | #6106 | semidirect |
| 329. C13 | #7747 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116070 | 2 |
| #13115923 | 2 |
| #13112662 | 2 |
| #13112659 | 2 |
| C13×#2805 | 2 |
| #7747 | 13 |