Finite Group DatabasebetaFinite Group Databasebeta| order | 16064 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C251 ⋊ #405 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8032 |
Polycyclic presentation:
2^6,251|a^2=d,b^2=e,d^2=f,g^a=g^250,c^b=cf,g^b=g^2502540 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44550119, #44550121, #44550164, … |
| maximal normal subgroup of | #44550119, #44550121, #44550164, … |
| maximal quotient of | M16×C251⋊C8, #44548649, #44548652, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16064, 507);