Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
606 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 606 conjugacy classes of subgroups — too many to draw. Only its 184 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 |
|---|---|---|
| 33. #88123 | C8 | semidirect |
| 118. C4×C13 | Q8⋊C8 | semidirect |
| 184. C13 | #9637 | semidirect |
| 223. C4 | #11718244 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130768 | 2 |
| C42×#1057 | 2 |
| C2×#11718244 | 2 |
| #13117403 | 2 |
| #9637 | 13 |