Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
310 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 85 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. #11719517 | C2 | semidirect |
| 3. C13×#419 | C2 | semidirect |
| 6. #11718151 | C2 | semidirect |
| 7. #11718123 | C2 | semidirect |
| 14. C2×#6107 | C4 | semidirect |
| 17. C2×#6106 | C4 | semidirect |
| 93. #419 | D13 | semidirect |
| 169. C13 | #1905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719517 | 2 |
| C2×#88196 | 2 |
| C13×#419 | 2 |
| #11718800 | 2 |
| #11718667 | 2 |
| #11718151 | 2 |
| #11718123 | 2 |
| #1905 | 13 |