Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
710 conjugacy classes of subgroups; only the 136 normal subgroups are shown.
This group has 710 conjugacy classes of subgroups — too many to draw. Only its 136 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. #13130562 | C2 | semidirect |
| 2. C4×C22⋊#1057 | C2 | semidirect |
| 4. #13129674 | C2 | semidirect |
| 21. #11718305 | C4 | semidirect |
| 344. C13 | #8155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130562 | 2 |
| C4×C22⋊#1057 | 2 |
| C2×#11718305 | 2 |
| #13129674 | 2 |
| C2×#11718606 | 2 |
| #8155 | 13 |