Finite Group DatabasebetaFinite Group DatabasebetaOrder 1664.
138 conjugacy classes of subgroups; only the 44 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 44 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 |
|---|---|---|
| 86. C13 | #1291 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #11719054 | 2 |
| C4×#6118 | 2 |
| #11718496 | 2 |
| #1291 | 13 |