Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
2022 conjugacy classes of subgroups; only the 587 normal subgroups are shown.
This group has 2022 conjugacy classes of subgroups — too many to draw. Only its 587 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. #13123027 | C2 | direct (N × H) |
| 2. C2×#11718321 | C2 | semidirect |
| 4. C2×#11718890 | C2 | semidirect |
| 15. #11718890 | C22 | semidirect |
| 21. #11718321 | C22 | semidirect |
| 150. C2×C13 | #2835 | semidirect |
| 179. C13 | C2×#2835 | semidirect |
| 219. C2 | #13123027 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123027 | 2 |
| C2×#11718321 | 2 |
| C2×#11718614 | 2 |
| C2×#11718890 | 2 |
| C2×#11718607 | 2 |
| C2×C13×#393 | 2 |
| C2×#2835 | 13 |