Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
256 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 256 conjugacy classes of subgroups — too many to draw. Only its 79 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. C2×#88048 | C2 | semidirect |
| 5. C13×#340 | C2 | semidirect |
| 6. #11718143 | C2 | semidirect |
| 7. #11718121 | C2 | semidirect |
| 92. #340 | D13 | semidirect |
| 166. C13 | #2077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#88060 | 2 |
| #11718648 | 2 |
| C2×#88048 | 2 |
| C13×#340 | 2 |
| #11718143 | 2 |
| #11718121 | 2 |
| #2077 | 13 |