Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
670 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 670 conjugacy classes of subgroups — too many to draw. Only its 119 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. C22×D208 | C2 | semidirect |
| 2. C2×#11718776 | C2 | semidirect |
| 3. C2×#11718101 | C2 | semidirect |
| 4. #13112928 | C2 | semidirect |
| 5. C2×C13×C22⋊C16 | C2 | semidirect |
| 37. C2×D104 | D4 | semidirect |
| 41. C2×C13×C16 | D4 | semidirect |
| 44. #88058 | D4 | semidirect |
| 86. C2×C22⋊C16 | D13 | semidirect |
| 92. C23×C13 | D16 | semidirect |
| 180. C2×C16 | C22⋊D13 | semidirect |
| 227. C13 | #13304 | semidirect |
| 239. C23 | D208 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D208 | 2 |
| C2×#11718776 | 2 |
| C2×#11718101 | 2 |
| #13112928 | 2 |
| C2×C13×C22⋊C16 | 2 |
| #13304 | 13 |