Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
862 conjugacy classes of subgroups; only the 299 normal subgroups are shown.
This group has 862 conjugacy classes of subgroups — too many to draw. Only its 299 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 |
|---|---|---|
| 42. C4×#1055 | Q8 | semidirect |
| 160. C13 | #33313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718739 | 2 |
| C2×#11718740 | 2 |
| #13123214 | 2 |
| #13114998 | 2 |
| C42×#1055 | 2 |
| C13×#2862 | 2 |
| #33313 | 13 |