Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
350 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 184 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. #13129751 | C2 | semidirect |
| 3. #13129749 | C2 | semidirect |
| 45. C8×D13 | C16 | semidirect |
| 64. C8×C13 | C2×C16 | semidirect |
| 66. #1055 | C2×C16 | semidirect |
| 106. D13 | #1312 | semidirect |
| 124. C13 | C2×#1312 | semidirect |
| 139. C8 | D13⋊C16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D13⋊C16 | 2 |
| #13129751 | 2 |
| #13129749 | 2 |
| C82×D13 | 2 |
| C2×#1312 | 13 |