Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
528 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 94 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. #13130979 | C2 | semidirect |
| 3. #13130345 | C2 | semidirect |
| 5. #13129706 | C2 | semidirect |
| 6. #13129681 | C2 | semidirect |
| 166. D4×C13 | #101 | semidirect |
| 381. C13 | #9251 | semidirect |
| 397. D4 | #88113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D4×#6122 | 2 |
| #13130979 | 2 |
| #13130345 | 2 |
| #13130161 | 2 |
| #13129706 | 2 |
| #13129681 | 2 |
| C2×#11718420 | 2 |
| #9251 | 13 |