Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11718105 |
| Sylow | C13 ⋊ C2×#365 |
152 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 93 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 416 |
272 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#11718105, Dic13×#365, #15778339, … |
| maximal normal subgroup of | C4×#11718105, Dic13×#365, #15778339, … |
| maximal quotient of | C2×#13112902, #15774477, #15774551, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6279);