Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D4016 |
| Fitting | C2×C16×C251 ⋊ C2 |
| Sylow | C251 ⋊ C2×D16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
4022 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548542, #44548544, #44548554, … |
| maximal normal subgroup of | #44548542, #44548544, #44548554, … |
| maximal quotient of | C2×#30631489, C2×#30631513, C4×D4016, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 970);