Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
556 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 556 conjugacy classes of subgroups — too many to draw. Only its 97 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. C22×#88066 | C2 | semidirect |
| 2. C2×#11718558 | C2 | semidirect |
| 3. C2×#11718821 | C2 | semidirect |
| 4. C2×#11718108 | C2 | semidirect |
| 5. #13116451 | C2 | semidirect |
| 6. #13112929 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 136. C2×#361 | D13 | semidirect |
| 328. C13 | #13313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88066 | 2 |
| C2×#11718558 | 2 |
| C2×#11718821 | 2 |
| C2×#11718108 | 2 |
| #13116451 | 2 |
| #13112929 | 2 |
| C2×C13×#361 | 2 |
| #13313 | 13 |