Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
140 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 108. C13 | #1704 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C13×#446 | 2 |
| #11718682 | 2 |
| #11718681 | 2 |
| #11718342 | 2 |
| #11718074 | 2 |
| #11718073 | 2 |
| #11718049 | 2 |
| #1704 | 13 |