Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1198 conjugacy classes of subgroups; only the 224 normal subgroups are shown.
This group has 1198 conjugacy classes of subgroups — too many to draw. Only its 224 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. #13131138 | C2 | direct (N × H) |
| 3. C2×#11718301 | C2 | semidirect |
| 20. #11718301 | C22 | semidirect |
| 246. C2×C13 | #2135 | semidirect |
| 306. C13 | C2×#2135 | semidirect |
| 373. C2 | #13131138 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719132 | 2 |
| #13131138 | 2 |
| C2×#11718301 | 2 |
| C2×#11719521 | 2 |
| C2×#2135 | 13 |