Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
282 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 20. #11718082 | C4 | semidirect |
| 21. #11718081 | C4 | semidirect |
| 79. #6090 | C4⋊C4 | semidirect |
| 201. C13 | #13174 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116625 | 2 |
| C2×#11718079 | 2 |
| C2×#11718104 | 2 |
| #13115590 | 2 |
| #13115572 | 2 |
| #13112945 | 2 |
| C13×#1386 | 2 |
| #13174 | 13 |