Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
354 conjugacy classes of subgroups; only the 180 normal subgroups are shown.
This group has 354 conjugacy classes of subgroups — too many to draw. Only its 180 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. #13129747 | C2 | semidirect |
| 4. C16×#1057 | C2 | semidirect |
| 26. #88098 | C8 | semidirect |
| 33. #88038 | C8 | semidirect |
| 49. #6092 | C2×C8 | semidirect |
| 50. C13×C16 | C2×C8 | semidirect |
| 51. #6090 | C2×C8 | semidirect |
| 66. #1057 | M32 | semidirect |
| 126. C16 | D13⋊C8 | semidirect |
| 127. C13 | C8×M32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131043 | 2 |
| C8×D13⋊C8 | 2 |
| #13129747 | 2 |
| C16×#1057 | 2 |
| #13116429 | 2 |
| C8×M32 | 13 |