Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
892 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 892 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 |
|---|---|---|
| 1. #13130727 | C2 | semidirect |
| 2. #13130499 | C2 | semidirect |
| 3. #13129653 | C2 | semidirect |
| 18. #11718290 | C22 | semidirect |
| 19. #11718290 | C22 | semidirect |
| 88. C2×D52 | M16 | semidirect |
| 305. C13 | #7606 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130727 | 2 |
| #13130499 | 2 |
| #13129653 | 2 |
| C2×#11718649 | 2 |
| #7606 | 13 |