Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
200 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 46 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. C2×#6122 | C4 | semidirect |
| 13. C22⋊#1057 | C4 | semidirect |
| 115. C13 | #1305 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719169 | 2 |
| #11718603 | 2 |
| #1305 | 13 |