Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
182 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 182 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13113040 | C2 | semidirect |
| 4. #13113039 | C2 | semidirect |
| 5. C13×#1425 | C2 | semidirect |
| 48. #1425 | D13 | direct (N × H) |
| 95. D13 | #1425 | direct (N × H) |
| 111. C13 | C2×#1425 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13×C32 | 2 |
| D13×#368 | 2 |
| #13113040 | 2 |
| #13113039 | 2 |
| C13×#1425 | 2 |
| C2×#1425 | 13 |