Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
342 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 1. C22×#88036 | C2 | semidirect |
| 2. C22⋊#88036 | C2 | direct (N × H) |
| 11. C2×#88036 | C22 | semidirect |
| 52. C23×C13 | C32 | semidirect |
| 81. C22×C13 | C2×C32 | semidirect |
| 104. C2×C13 | C22⋊C32 | semidirect |
| 127. C13 | C2×C22⋊C32 | semidirect |
| 130. C23 | #88036 | semidirect |
| 150. C22 | C2×#88036 | semidirect |
| 159. C2 | C22⋊#88036 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88036 | 2 |
| C22⋊#88036 | 2 |
| C23×#6090 | 2 |
| C2×C22⋊C32 | 13 |