Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1264 conjugacy classes of subgroups; only the 203 normal subgroups are shown.
This group has 1264 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 |
|---|---|---|
| 2. C2×#11718629 | C2 | semidirect |
| 3. #13113872 | C2 | direct (N × H) |
| 4. C2×#11718043 | C2 | semidirect |
| 5. C2×#11718120 | C2 | semidirect |
| 6. C2×C13×#400 | C2 | semidirect |
| 18. C13×#400 | C22 | semidirect |
| 24. #11718629 | C22 | semidirect |
| 27. #11718120 | C22 | semidirect |
| 28. #11718043 | C22 | semidirect |
| 133. C2×#400 | D13 | semidirect |
| 199. #400 | C2×D13 | semidirect |
| 278. C2×C13 | #1616 | semidirect |
| 338. C13 | C2×#1616 | semidirect |
| 413. C2 | #13113872 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719215 | 2 |
| C2×#11718629 | 2 |
| #13113872 | 2 |
| C2×#11718043 | 2 |
| C2×#11718120 | 2 |
| C2×C13×#400 | 2 |
| C2×#1616 | 13 |