Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
750 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 750 conjugacy classes of subgroups — too many to draw. Only its 89 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. C2×#11718888 | C2 | semidirect |
| 3. #13114760 | C2 | semidirect |
| 4. #13113196 | C2 | semidirect |
| 5. #13113195 | C2 | semidirect |
| 6. #13112724 | C2 | semidirect |
| 7. C2×C13×#448 | C2 | semidirect |
| 142. C2×#448 | D13 | semidirect |
| 363. C13 | #9988 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125633 | 2 |
| C2×#11718888 | 2 |
| #13114760 | 2 |
| #13113196 | 2 |
| #13113195 | 2 |
| #13112724 | 2 |
| C2×C13×#448 | 2 |
| #9988 | 13 |