Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
146 conjugacy classes of subgroups; only the 49 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 49 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 |
|---|---|---|
| 111. C13 | #1700 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11718754 | 2 |
| #11718751 | 2 |
| #11718512 | 2 |
| #11718492 | 2 |
| C13×#332 | 2 |
| #11718074 | 2 |
| #11718071 | 2 |
| #1700 | 13 |