Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
6110 conjugacy classes of subgroups; only the 744 normal subgroups are shown.
This group has 6110 conjugacy classes of subgroups — too many to draw. Only its 744 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 |
|---|---|---|
| 1. C22×C22⋊#1057 | C2 | semidirect |
| 2. #13130658 | C2 | direct (N × H) |
| 10. C23×#1057 | C22 | semidirect |
| 12. C2×C22⋊#1057 | C22 | semidirect |
| 15. C25×C13 | C8 | semidirect |
| 31. C22×#1057 | C23 | semidirect |
| 43. C24×C13 | C2×C8 | semidirect |
| 78. C23×C13 | C22⋊C8 | semidirect |
| 113. C22×C13 | C2×C22⋊C8 | semidirect |
| 123. C25 | #1057 | semidirect |
| 142. C2×C13 | #1779 | semidirect |
| 154. C24 | C2×#1057 | semidirect |
| 177. C13 | C2×#1779 | semidirect |
| 188. C23 | C22⋊#1057 | semidirect |
| 213. C22 | C2×C22⋊#1057 | semidirect |
| 223. C2 | #13130658 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C22⋊#1057 | 2 |
| #13130658 | 2 |
| C25×Dic13 | 2 |
| C2×#1779 | 13 |