Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
4070 conjugacy classes of subgroups; only the 456 normal subgroups are shown.
This group has 4070 conjugacy classes of subgroups — too many to draw. Only its 456 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. C22×#88111 | C2 | semidirect |
| 2. C22×C22⋊#1057 | C2 | semidirect |
| 3. #13130660 | C2 | direct (N × H) |
| 16. C2×C22⋊#1057 | C22 | semidirect |
| 18. C2×#88111 | C22 | semidirect |
| 212. C2×C13 | #1780 | semidirect |
| 265. C13 | C2×#1780 | semidirect |
| 325. C2 | #13130660 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88111 | 2 |
| C22×C22⋊#1057 | 2 |
| #13130660 | 2 |
| C23×#6129 | 2 |
| C2×#1780 | 13 |