Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
174 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 7. C2×#88036 | C4 | semidirect |
| 12. C13×M64 | C4 | semidirect |
| 13. #11718091 | C4 | semidirect |
| 75. M64 | #261 | semidirect |
| 128. C13 | #7469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718214 | 2 |
| #13131044 | 2 |
| D13×M64 | 2 |
| #7469 | 13 |