Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
920 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 920 conjugacy classes of subgroups — too many to draw. Only its 122 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 |
|---|---|---|
| 1. #13130692 | C2 | semidirect |
| 2. #13130562 | C2 | semidirect |
| 3. C2×#11718287 | C2 | semidirect |
| 50. C22⋊#1057 | D4 | semidirect |
| 310. C13 | #9653 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130692 | 2 |
| #13130562 | 2 |
| C2×#11718287 | 2 |
| C2×#11718649 | 2 |
| #9653 | 13 |