Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
252 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 79 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. C2×#88052 | C4 | semidirect |
| 10. C22×#6090 | C4 | semidirect |
| 11. C13×H(3,ℤ/4) | C4 | semidirect |
| 12. #11718149 | C4 | semidirect |
| 106. H(3,ℤ/4) | Dic13 | semidirect |
| 179. C13 | #7228 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116450 | 2 |
| #13114882 | 2 |
| C13×#1812 | 2 |
| #7228 | 13 |