Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
146 conjugacy classes of subgroups; only the 58 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 58 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. #11719162 | C2 | semidirect |
| 2. #11719096 | C2 | semidirect |
| 4. #11718304 | C2 | semidirect |
| 5. #11718270 | C2 | semidirect |
| 6. #11718233 | C2 | semidirect |
| 7. C4×#6092 | C2 | semidirect |
| 114. C13 | #2170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719162 | 2 |
| #11719096 | 2 |
| #11718485 | 2 |
| #11718304 | 2 |
| #11718270 | 2 |
| #11718233 | 2 |
| C4×#6092 | 2 |
| #2170 | 13 |