Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
430 conjugacy classes of subgroups; only the 164 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 164 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 |
|---|---|---|
| 14. #11718255 | C4 | semidirect |
| 15. #11718251 | C4 | semidirect |
| 37. #88047 | C8 | semidirect |
| 93. #1055 | C4×C8 | semidirect |
| 172. C13 | #8284 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4⋊C4×#1057 | 2 |
| C2×#11718255 | 2 |
| C2×#11718251 | 2 |
| #13129672 | 2 |
| #13114728 | 2 |
| #8284 | 13 |