Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
500 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 118 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×#88100 | C2 | semidirect |
| 4. #13130038 | C2 | semidirect |
| 5. #13129668 | C2 | semidirect |
| 6. #13129663 | C2 | semidirect |
| 9. #11719145 | C4 | semidirect |
| 14. #11719080 | C4 | semidirect |
| 25. C13×D4⋊C8 | C4 | semidirect |
| 26. D4⋊#1055 | C4 | semidirect |
| 27. #11718076 | C4 | semidirect |
| 28. #11718048 | C4 | semidirect |
| 91. #6118 | M16 | semidirect |
| 150. #1057 | #104 | semidirect |
| 173. D4⋊C8 | #261 | semidirect |
| 282. C13 | #8196 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131648 | 2 |
| C4×#88116 | 2 |
| C4×#88100 | 2 |
| #13130038 | 2 |
| #13129668 | 2 |
| #13129663 | 2 |
| #13113215 | 2 |
| #8196 | 13 |