Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
606 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 606 conjugacy classes of subgroups — too many to draw. Only its 144 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×#11718254 | C2 | semidirect |
| 3. C2×#11718243 | C2 | semidirect |
| 4. C2×C8×#1057 | C2 | semidirect |
| 32. C2×D104 | C8 | semidirect |
| 70. C2×#1057 | D8 | semidirect |
| 122. C8×C13 | C22⋊C8 | semidirect |
| 229. C13 | #9657 | semidirect |
| 262. C8 | #88111 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130958 | 2 |
| C2×#11718254 | 2 |
| C2×#11718243 | 2 |
| C2×C8×#1057 | 2 |
| C2×#11718533 | 2 |
| #9657 | 13 |