Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
230 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 147 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 |
|---|---|---|
| 3. #13113031 | C2 | direct (N × H) |
| 53. C2×Dic13 | C32 | semidirect |
| 77. Dic13 | C2×C32 | semidirect |
| 91. C2×C13 | C4⋊C32 | semidirect |
| 110. C13 | C2×C4⋊C32 | semidirect |
| 133. C2 | #13113031 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88034 | 2 |
| C2×C16×Dic13 | 2 |
| #13113031 | 2 |
| C22×C13×C32 | 2 |
| C2×C4⋊C32 | 13 |