Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
500 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 123 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×#11718786 | C2 | semidirect |
| 3. #13116565 | C2 | semidirect |
| 4. #13112951 | C2 | semidirect |
| 5. C2×C13×#349 | C2 | semidirect |
| 51. #88059 | D4 | semidirect |
| 101. C2×#349 | D13 | semidirect |
| 251. C13 | #12998 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124445 | 2 |
| C2×#11718786 | 2 |
| #13116565 | 2 |
| #13112951 | 2 |
| C2×C13×#349 | 2 |
| #12998 | 13 |