Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
640 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 640 conjugacy classes of subgroups — too many to draw. Only its 118 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. #13130622 | C2 | semidirect |
| 2. C4×#88110 | C2 | semidirect |
| 3. C2×#11718299 | C2 | semidirect |
| 48. #88110 | D4 | semidirect |
| 170. C4×C13 | #329 | semidirect |
| 256. C13 | #9685 | semidirect |
| 318. C4 | #11718299 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130622 | 2 |
| C4×#88110 | 2 |
| C2×#11718299 | 2 |
| #13123194 | 2 |
| #9685 | 13 |