Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
438 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 438 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. C2×#11718233 | C2 | semidirect |
| 2. C2×#11718270 | C2 | semidirect |
| 3. C2×#11718304 | C2 | semidirect |
| 4. #13131068 | C2 | semidirect |
| 5. #13131066 | C2 | semidirect |
| 6. C2×C4×#6092 | C2 | semidirect |
| 300. C13 | #13195 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718233 | 2 |
| C2×#11718270 | 2 |
| C2×#11718304 | 2 |
| #13131068 | 2 |
| #13131066 | 2 |
| C2×C4×#6092 | 2 |
| C2×#11718485 | 2 |
| #13195 | 13 |