Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1190 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 1190 conjugacy classes of subgroups — too many to draw. Only its 203 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×#11719418 | C2 | semidirect |
| 2. C2×#11718736 | C2 | semidirect |
| 3. #13113893 | C2 | direct (N × H) |
| 4. C2×#11718136 | C2 | semidirect |
| 5. C2×#11718048 | C2 | semidirect |
| 16. #11719418 | C22 | semidirect |
| 23. #11718736 | C22 | semidirect |
| 25. #11718136 | C22 | semidirect |
| 26. #11718048 | C22 | semidirect |
| 227. C2×C13 | #1620 | semidirect |
| 273. C13 | C2×#1620 | semidirect |
| 326. C2 | #13113893 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719418 | 2 |
| C2×#11718736 | 2 |
| #13113893 | 2 |
| C2×#11718136 | 2 |
| C2×#11718048 | 2 |
| C2×C13×#493 | 2 |
| C2×#1620 | 13 |