Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
258 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13113630 | C2 | semidirect |
| 3. #13112796 | C2 | semidirect |
| 4. C16×#1055 | C2 | semidirect |
| 5. C13×#1371 | C2 | semidirect |
| 29. D208 | C8 | semidirect |
| 43. D104 | C2×C8 | semidirect |
| 46. C13×C16 | C2×C8 | semidirect |
| 50. #1371 | D13 | semidirect |
| 68. #1055 | D16 | semidirect |
| 123. C16 | C8×D13 | semidirect |
| 124. C13 | C8×D16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×D208 | 2 |
| #13113630 | 2 |
| #13112796 | 2 |
| C16×#1055 | 2 |
| C13×#1371 | 2 |
| C8×D16 | 13 |