Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C47 ⋊ #1738 |
372 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=e,b^2=f,d^2=g,e^2=g,f^2=g,b^a=bd,d^a=dg,f^a=fg,c^b=cg,h^b=h^46964 conjugacy classes — view the full character table.
| maximal subgroup of | #26121614, #26121615, #26121617, … |
| maximal normal subgroup of | #26121614, #26121615, #26121617, … |
| maximal quotient of | #26105739, #26105741, #26105749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 4236);