Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11719621 |
| Sylow | C13 ⋊ C2×#568 |
1460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
128 conjugacy classes — view the full character table.
| maximal subgroup of | #16785348, #16785358, #16785363, … |
| maximal normal subgroup of | #16785348, #16785358, #16785363, … |
| maximal quotient of | C2×#13131400, C2×#13131402, C2×#13131407, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21501);