Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C47 ⋊ #1408 |
120 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=d,c^2=fg,e^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^a=h^46,c^b=cfg,d^b=def,e^b=eg,d^c=dfg,e^d=eg523 conjugacy classes — view the full character table.
| maximal subgroup of | #26104094, #26104095, #26104097, … |
| maximal normal subgroup of | #26104094, #26104095, #26104097, … |
| maximal quotient of | #26103661, #26103693, #26103785, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2673);