Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
420 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 132 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. C2×#11718232 | C2 | semidirect |
| 4. #13129877 | C2 | semidirect |
| 8. C2×#88106 | C4 | semidirect |
| 12. C22×#6092 | C4 | semidirect |
| 16. C22⋊#6092 | C4 | semidirect |
| 17. C22⋊#6092 | C4 | semidirect |
| 78. #6092 | C22⋊C4 | semidirect |
| 134. C22×C13 | #347 | semidirect |
| 207. C13 | #12616 | semidirect |
| 244. C22 | #11718232 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88106 | 2 |
| #13131063 | 2 |
| C2×#11718232 | 2 |
| #13129877 | 2 |
| #13114614 | 2 |
| #12616 | 13 |