Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11719099 |
| Fitting | C2×C13×M16 ⋊ C4 |
| Sylow | C13 ⋊ C2×#405 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #16785197, #16785200, #16785221, … |
| maximal normal subgroup of | #16785197, #16785200, #16785221, … |
| maximal quotient of | C2×M16×#1057, M16×D13⋊C8, C2×#13130034, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21072);