Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 144 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×#11718232 | C2 | semidirect |
| 3. #13129877 | C2 | semidirect |
| 14. C22⋊#6092 | C4 | semidirect |
| 35. C2×#6092 | C2×C4 | semidirect |
| 121. C22×C13 | #347 | semidirect |
| 194. C13 | #12605 | semidirect |
| 227. C22 | #11718232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131063 | 2 |
| C2×#11718232 | 2 |
| #13129877 | 2 |
| C22×#88043 | 2 |
| #12605 | 13 |