Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
364 conjugacy classes of subgroups; only the 160 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 160 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 |
|---|---|---|
| 6. #11719080 | C2 | semidirect |
| 7. #11719078 | C2 | semidirect |
| 8. #11719074 | C2 | semidirect |
| 156. C13 | #2984 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88141 | 2 |
| #11719130 | 2 |
| #11719128 | 2 |
| #11719125 | 2 |
| #11719119 | 2 |
| #11719080 | 2 |
| #11719078 | 2 |
| #11719074 | 2 |
| #2984 | 13 |