Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| isoclinism | isoclinic class of Dic26 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C22×#88038 |
| Fitting | C22×C13×C16 ⋊ C2 |
| Sylow | C13 ⋊ C22×M32 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
464 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15777757, #15777760, #15777790, … |
| maximal normal subgroup of | #15777757, #15777760, #15777790, … |
| maximal quotient of | C22×#11718094, C2×C4×#88038, C22×#11718099, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17605);