Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
418 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 3. #13129825 | C2 | semidirect |
| 5. C22×Dic52 | C4 | semidirect |
| 11. C2×C13×#107 | C4 | semidirect |
| 15. #11718548 | C4 | semidirect |
| 135. C2×#107 | #261 | semidirect |
| 236. C13 | #11887 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊(C22⋊C16) | 2 |
| #13130713 | 2 |
| #13129825 | 2 |
| C2×#11718548 | 2 |
| #11887 | 13 |