Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
356 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 2. C13×#500 | C2 | semidirect |
| 3. #11718740 | C2 | semidirect |
| 5. #11718539 | C2 | semidirect |
| 7. #11718343 | C2 | semidirect |
| 43. C8×D13 | Q8 | semidirect |
| 63. #500 | D13 | semidirect |
| 120. C13 | #3160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719433 | 2 |
| C13×#500 | 2 |
| #11718740 | 2 |
| #11718541 | 2 |
| #11718539 | 2 |
| C4×C8×D13 | 2 |
| #11718343 | 2 |
| #3160 | 13 |