Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
202 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 202 conjugacy classes of subgroups — too many to draw. Only its 120 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 |
|---|---|---|
| 8. C2×#88036 | C4 | semidirect |
| 45. C2×C4×C13 | C32 | semidirect |
| 108. C13 | #7465 | semidirect |
| 112. C2×C4 | #88036 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88036 | 2 |
| C2×C4×#6090 | 2 |
| #7465 | 13 |