Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
564 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 110 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. #13131686 | C2 | semidirect |
| 2. #13130137 | C2 | semidirect |
| 3. #13130135 | C2 | semidirect |
| 4. #13130076 | C2 | semidirect |
| 5. #13129676 | C2 | semidirect |
| 6. #13129662 | C2 | semidirect |
| 41. C2×#6104 | C8 | semidirect |
| 76. C2×D4×C13 | C2×C8 | semidirect |
| 117. C2×#1055 | C2×C8 | semidirect |
| 275. C2×D4 | D13⋊C8 | semidirect |
| 311. C13 | #9089 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131686 | 2 |
| #13130137 | 2 |
| #13130135 | 2 |
| #13130076 | 2 |
| #13129676 | 2 |
| #13129662 | 2 |
| C2×#11718446 | 2 |
| #9089 | 13 |