Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
372 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 87 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 |
|---|---|---|
| 4. C23×C8×C13 | C4 | semidirect |
| 7. C2×C13×C22⋊C8 | C4 | semidirect |
| 13. #11718122 | C4 | semidirect |
| 129. C23×C8 | Dic13 | semidirect |
| 135. C2×C22⋊C8 | Dic13 | semidirect |
| 244. C13 | #7236 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13114828 | 2 |
| #13114824 | 2 |
| C13×#1869 | 2 |
| #7236 | 13 |