Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
148 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 63 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 | #1593 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#446 | 2 |
| C4×#6107 | 2 |
| #11718340 | 2 |
| Q8⋊#1055 | 2 |
| #11718076 | 2 |
| #11718072 | 2 |
| #11718046 | 2 |
| #1593 | 13 |