Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×Dic251⋊C4 |
| Sylow | C251 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16064 |
4040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Dic251⋊#95, #44548596, #44548598, … |
| maximal normal subgroup of | Dic251⋊#95, #44548596, #44548598, … |
| maximal quotient of | C22×C251⋊#95, C2×C4×Dic251⋊C4, C2×#30631545, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 999);