Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
206 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 206 conjugacy classes of subgroups — too many to draw. Only its 123 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. #13113035 | C2 | direct (N × H) |
| 12. C2×#88034 | C4 | semidirect |
| 25. #88034 | C2×C4 | semidirect |
| 87. C2×C13 | #1423 | semidirect |
| 105. C13 | C2×#1423 | semidirect |
| 127. C2 | #13113035 | 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×#11718096 | 2 |
| #13113035 | 2 |
| C2×C13×#366 | 2 |
| C2×#1423 | 13 |