Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 171 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. #13117056 | C2 | direct (N × H) |
| 4. C2×#11718105 | C2 | semidirect |
| 5. C2×#11718109 | C2 | semidirect |
| 21. #11718109 | C22 | semidirect |
| 22. #11718105 | C22 | semidirect |
| 195. C2×C13 | #2239 | semidirect |
| 235. C13 | C2×#2239 | semidirect |
| 285. C2 | #13117056 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718798 | 2 |
| C2×#11718786 | 2 |
| #13117056 | 2 |
| C2×#11718105 | 2 |
| C2×#11718109 | 2 |
| C2×C13×#349 | 2 |
| C2×#2239 | 13 |