Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#88162 |
| Fitting | C4×C13×M16 ⋊ C2 |
| Sylow | C13 ⋊ C4×AGL(1,ℤ/8) |
548 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
284 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15757542, #15757544, #15757556, … |
| maximal normal subgroup of | #15757542, #15757544, #15757556, … |
| maximal quotient of | C8×#88162, #15832506, #15832528, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13322);