Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#22548655 |
| Sylow | C251 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
4040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548444, #44548445, #44548446, … |
| maximal normal subgroup of | #44548444, #44548445, #44548446, … |
| maximal quotient of | C2×#30631463, C4×#22548655, C2×C22⋊(C251⋊C16), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 964);