Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
124 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 45 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 |
|---|---|---|
| 3. #11718157 | C2 | semidirect |
| 5. #11718079 | C2 | semidirect |
| 79. C13 | #2239 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#470 | 2 |
| #11718786 | 2 |
| #11718157 | 2 |
| #11718145 | 2 |
| #11718079 | 2 |
| #2239 | 13 |