Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
788 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 788 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 9. C4×C4⋊#261 | C4 | semidirect |
| 10. #11719057 | C4 | semidirect |
| 12. C4×C13×M16 | C4 | semidirect |
| 14. #11718779 | C4 | semidirect |
| 15. C4×#6099 | C4 | semidirect |
| 113. C4×M16 | #261 | semidirect |
| 197. C13 | #8048 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88237 | 2 |
| #13129716 | 2 |
| #13123467 | 2 |
| #8048 | 13 |