Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 512 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. C4×#88076 | C2 | semidirect |
| 4. #13112962 | C2 | semidirect |
| 5. C4×C13×#101 | C2 | semidirect |
| 23. #11718069 | C4 | semidirect |
| 52. C13×#101 | C2×C4 | semidirect |
| 56. #88076 | C2×C4 | semidirect |
| 116. C4×#101 | D13 | semidirect |
| 233. #101 | C4×D13 | semidirect |
| 297. C13 | #12632 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117543 | 2 |
| C2×#11718069 | 2 |
| C4×#88076 | 2 |
| #13112962 | 2 |
| C4×C13×#101 | 2 |
| #12632 | 13 |