Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 122 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 122 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. #13130553 | C2 | semidirect |
| 2. C4×#88110 | C2 | semidirect |
| 4. #13129712 | C2 | semidirect |
| 21. #11718293 | C4 | semidirect |
| 52. #88110 | C2×C4 | semidirect |
| 53. #88110 | C2×C4 | semidirect |
| 287. C13 | #8226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130553 | 2 |
| C4×#88110 | 2 |
| C2×#11718293 | 2 |
| #13129712 | 2 |
| #13117383 | 2 |
| #8226 | 13 |