Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×C4⋊Dic251 |
| 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 | #44548594, #44548595, #44548599, … |
| maximal normal subgroup of | #44548594, #44548595, #44548599, … |
| maximal quotient of | C22×C251⋊#95, C2×C4×C4⋊Dic251, C2×#30631547, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 1000);