Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 118 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. #13130727 | C2 | semidirect |
| 4. #13129679 | C2 | semidirect |
| 40. #88189 | C8 | semidirect |
| 87. C22×Dic13 | C2×C8 | semidirect |
| 103. C22⋊Dic13 | C2×C8 | semidirect |
| 307. C13 | #8966 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131683 | 2 |
| #13130727 | 2 |
| #13130072 | 2 |
| #13129679 | 2 |
| #13117361 | 2 |
| #8966 | 13 |