Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C251 ⋊ H(3,ℤ/4) |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4016 |
Polycyclic presentation:
2^6,251|a^2=d,b^2=e,c^2=f,b^a=bc,e^a=ef,g^a=g^250,d^b=df,g^b=g^2502522 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44548350, #44548351, #44548353, … |
| maximal normal subgroup of | #44548350, #44548351, #44548353, … |
| maximal quotient of | #44548193, #44548196, #44548219, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 306);