Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
458 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 2. #13115040 | C2 | semidirect |
| 4. #13112723 | C2 | semidirect |
| 123. C2×C4×C13 | #108 | semidirect |
| 245. C13 | #8860 | semidirect |
| 273. C2×C4 | #88062 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115134 | 2 |
| #13115040 | 2 |
| #13113154 | 2 |
| #13112723 | 2 |
| C13×#2975 | 2 |
| #8860 | 13 |