Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C251 ⋊ #364 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4016 |
Polycyclic presentation:
2^6,251|a^2=d,b^2=c,c^2=f,d^2=e,e^2=f,b^a=bc,c^a=cf,g^a=g^2504028 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548338, #44548339, #44548341, … |
| maximal normal subgroup of | #44548338, #44548339, #44548341, … |
| maximal quotient of | #44548429, #44548435, #44548447, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 370);