Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
222 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 121 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. #13112972 | C2 | semidirect |
| 4. #13112971 | C2 | semidirect |
| 5. C13×#1398 | C2 | semidirect |
| 15. #11718039 | C4 | semidirect |
| 16. D13×C32 | C4 | semidirect |
| 32. C13×C32 | C2×C4 | semidirect |
| 33. #88034 | C2×C4 | semidirect |
| 58. #1398 | D13 | direct (N × H) |
| 112. C32 | C4×D13 | semidirect |
| 116. D13 | #1398 | direct (N × H) |
| 136. C13 | C2×#1398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×M64 | 2 |
| D13×#346 | 2 |
| #13112972 | 2 |
| #13112971 | 2 |
| C13×#1398 | 2 |
| C2×#1398 | 13 |