Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
448 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#11718145 | C2 | semidirect |
| 3. #13112823 | C2 | semidirect |
| 4. #13112820 | C2 | semidirect |
| 5. C2×C13×H(3,ℤ/4) | C2 | semidirect |
| 9. C2×#88158 | C4 | semidirect |
| 10. #11718798 | C4 | semidirect |
| 12. #11718796 | C4 | semidirect |
| 17. #11718767 | C4 | semidirect |
| 49. C2×Dic52 | C2×C4 | semidirect |
| 52. C2×D104 | C2×C4 | semidirect |
| 57. #88057 | C2×C4 | semidirect |
| 58. #88057 | C2×C4 | semidirect |
| 121. C2×H(3,ℤ/4) | D13 | semidirect |
| 310. C13 | #11685 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124445 | 2 |
| C2×#11718145 | 2 |
| #13112823 | 2 |
| #13112820 | 2 |
| C2×C13×H(3,ℤ/4) | 2 |
| #11685 | 13 |