Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
240 conjugacy classes of subgroups; only the 54 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 54 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 |
|---|---|---|
| 32. C22×C4×C13 | C16 | semidirect |
| 123. C22×C4 | #6092 | semidirect |
| 134. C13 | #7055 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129756 | 2 |
| #13114904 | 2 |
| #7055 | 13 |