Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1402 conjugacy classes of subgroups; only the 264 normal subgroups are shown.
This group has 1402 conjugacy classes of subgroups — too many to draw. Only its 264 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×C4×#6118 | C2 | semidirect |
| 2. #13130292 | C2 | direct (N × H) |
| 3. C2×#11718299 | C2 | semidirect |
| 19. C4×#6118 | C22 | semidirect |
| 20. #11718299 | C22 | semidirect |
| 199. C2×C13 | #1525 | semidirect |
| 244. C13 | C2×#1525 | semidirect |
| 294. C2 | #13130292 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×#6118 | 2 |
| #13130292 | 2 |
| C2×#11718299 | 2 |
| C2×#11719430 | 2 |
| C2×#1525 | 13 |