Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
140 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 140 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 107. C13 | #1696 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11718752 | 2 |
| #11718739 | 2 |
| #11718511 | 2 |
| #11718492 | 2 |
| C13×#333 | 2 |
| #11718073 | 2 |
| #11718072 | 2 |
| #1696 | 13 |