Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C2×#11719162 |
| Sylow | C13 ⋊ C2×#504 |
368 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #16789364, #16789365, #16789369, … |
| maximal normal subgroup of | #16789364, #16789365, #16789369, … |
| maximal quotient of | C2×#13131045, C4×#11719162, C2×#13131066, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21474);