Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
252 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 78 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. C13×#125 | C4 | semidirect |
| 10. #88144 | C4 | semidirect |
| 13. #88124 | C4 | semidirect |
| 68. #125 | #261 | semidirect |
| 97. C13 | #1991 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13×#125 | 2 |
| #11719060 | 2 |
| C4×D13⋊C8 | 2 |
| #11718246 | 2 |
| #1991 | 13 |