Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1614 conjugacy classes of subgroups; only the 792 normal subgroups are shown.
This group has 1614 conjugacy classes of subgroups — too many to draw. Only its 792 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 |
|---|---|---|
| 3. #13130493 | C2 | direct (N × H) |
| 8. C2×#88110 | C4 | semidirect |
| 10. C2×C4×#1057 | C4 | semidirect |
| 28. #88110 | C2×C4 | semidirect |
| 29. C4×#1057 | C2×C4 | semidirect |
| 113. C2×C13 | #1726 | semidirect |
| 137. C13 | C2×#1726 | semidirect |
| 167. C2 | #13130493 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88110 | 2 |
| C22×C4×#1057 | 2 |
| #13130493 | 2 |
| C2×#11718309 | 2 |
| C2×#1726 | 13 |