Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
516 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 207 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 |
|---|---|---|
| 16. C13×C4⋊Q8 | C8 | semidirect |
| 113. C4⋊Q8 | #1055 | semidirect |
| 159. C13 | #7571 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C4⋊#1055 | 2 |
| #13112662 | 2 |
| C4×C13×C4⋊Q8 | 2 |
| #7571 | 13 |