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. D8×#1055 | C2 | semidirect |
| 3. #13113630 | C2 | semidirect |
| 4. #13112907 | C2 | semidirect |
| 5. #13112798 | C2 | semidirect |
| 6. C16×#1055 | C2 | semidirect |
| 7. C13×#1331 | C2 | semidirect |
| 35. #88066 | C8 | semidirect |
| 50. C13×D8 | C2×C8 | semidirect |
| 65. D104 | C2×C8 | semidirect |
| 69. #6090 | C2×C8 | semidirect |
| 75. #1331 | D13 | semidirect |
| 99. #1055 | D16 | semidirect |
| 162. D8 | C8×D13 | semidirect |
| 180. C13 | C8×D16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88066 | 2 |
| D8×#1055 | 2 |
| #13113630 | 2 |
| #13112907 | 2 |
| #13112798 | 2 |
| C16×#1055 | 2 |
| C13×#1331 | 2 |
| C8×D16 | 13 |