Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
512 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 512 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 2. #13123432 | C2 | semidirect |
| 3. #13116552 | C2 | semidirect |
| 4. C2×#11718100 | C2 | semidirect |
| 5. #13112944 | C2 | semidirect |
| 6. #13112932 | C2 | semidirect |
| 7. C2×C13×#357 | C2 | semidirect |
| 16. #11718821 | C4 | semidirect |
| 35. C2×C13×D8 | C2×C4 | semidirect |
| 63. #88059 | C2×C4 | semidirect |
| 127. C2×#357 | D13 | semidirect |
| 220. C2×D8 | C4×D13 | semidirect |
| 311. C13 | #12996 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718821 | 2 |
| #13123432 | 2 |
| #13116552 | 2 |
| C2×#11718100 | 2 |
| #13112944 | 2 |
| #13112932 | 2 |
| C2×C13×#357 | 2 |
| #12996 | 13 |