Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
166 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 166 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 4. #11718254 | C2 | semidirect |
| 5. #11718253 | C2 | semidirect |
| 47. C8×C13 | M16 | semidirect |
| 95. C13 | #1569 | semidirect |
| 111. C8 | #6118 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719054 | 2 |
| #11719052 | 2 |
| #11718368 | 2 |
| #11718254 | 2 |
| #11718253 | 2 |
| #1569 | 13 |