Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
484 conjugacy classes of subgroups; only the 202 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 202 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 |
|---|---|---|
| 4. #11719079 | C2 | semidirect |
| 5. #11719067 | C2 | semidirect |
| 6. #11719053 | C2 | semidirect |
| 7. #11719052 | C2 | semidirect |
| 26. #88112 | C22 | semidirect |
| 27. C4⋊#1057 | C22 | semidirect |
| 158. C13 | #2905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D13⋊M16 | 2 |
| C22×#6118 | 2 |
| D13×#117 | 2 |
| #11719079 | 2 |
| #11719067 | 2 |
| #11719053 | 2 |
| #11719052 | 2 |
| #2905 | 13 |