Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11719166 |
| Fitting | C2×C13×#41 ⋊ C4 |
| Sylow | C13 ⋊ C2×#421 |
772 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
104 conjugacy classes — view the full character table.
| maximal subgroup of | #16785449, #16785451, #16785466, … |
| maximal normal subgroup of | #16785449, #16785451, #16785466, … |
| maximal quotient of | C2×#13130136, C2×#13130139, C2×#13130131, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21138);