Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#16860811 |
| Fitting | C4×Q8×C251 ⋊ C2 |
| Sylow | C251 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
2540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548746, #44548751, #44548798, … |
| maximal normal subgroup of | #44548746, #44548751, #44548798, … |
| maximal quotient of | C4×#22548673, C4×#22548677, C4×Q8×Dic251, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 1019);