Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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. C13×#500 | C2 | semidirect |
| 3. #11718084 | C2 | semidirect |
| 5. #11718053 | C2 | semidirect |
| 43. #500 | D13 | semidirect |
| 85. C13 | #2243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#500 | 2 |
| #11718357 | 2 |
| #11718084 | 2 |
| #11718083 | 2 |
| #11718053 | 2 |
| #2243 | 13 |