Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1310 conjugacy classes of subgroups; only the 240 normal subgroups are shown.
This group has 1310 conjugacy classes of subgroups — too many to draw. Only its 240 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. C2×#11719128 | C2 | semidirect |
| 2. #13130315 | C2 | direct (N × H) |
| 3. C2×#11718293 | C2 | semidirect |
| 17. #11719128 | C22 | semidirect |
| 19. C2×#88110 | C22 | semidirect |
| 20. #11718293 | C22 | semidirect |
| 56. #88110 | C23 | semidirect |
| 211. C2×C13 | #1533 | semidirect |
| 258. C13 | C2×#1533 | semidirect |
| 312. C2 | #13130315 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719128 | 2 |
| #13130315 | 2 |
| C2×#11718293 | 2 |
| C22×#88190 | 2 |
| C2×#1533 | 13 |