Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
142 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 55 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 |
| 4. #11718082 | C2 | semidirect |
| 5. C4⋊#6090 | C2 | semidirect |
| 26. D104 | Q8 | semidirect |
| 42. #500 | D13 | semidirect |
| 83. C13 | #2226 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#500 | 2 |
| C4×D104 | 2 |
| #11718083 | 2 |
| #11718082 | 2 |
| C4⋊#6090 | 2 |
| #2226 | 13 |