Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
376 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 376 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 |
|---|---|---|
| 6. #11718512 | C2 | semidirect |
| 7. #11718511 | C2 | semidirect |
| 8. #11718490 | C2 | semidirect |
| 42. C2×Dic26 | Q8 | semidirect |
| 170. C13 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719175 | 2 |
| C2×C4×Dic26 | 2 |
| C13×#423 | 2 |
| #11718782 | 2 |
| #11718781 | 2 |
| #11718512 | 2 |
| #11718511 | 2 |
| #11718490 | 2 |
| #3078 | 13 |