Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
586 conjugacy classes of subgroups; only the 120 normal subgroups are shown.
This group has 586 conjugacy classes of subgroups — too many to draw. Only its 120 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. #13130958 | C2 | semidirect |
| 2. C2×#11718255 | C2 | semidirect |
| 3. C2×#11718243 | C2 | semidirect |
| 4. C2×#1057⋊C8 | C2 | semidirect |
| 214. C13 | #9665 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130958 | 2 |
| C2×#11718255 | 2 |
| C2×#11718243 | 2 |
| C2×#1057⋊C8 | 2 |
| C2×#11718533 | 2 |
| #9665 | 13 |