Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C47×#322 ⋊ C2 |
| Sylow | C47 ⋊ #1336 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=d,c^2=e,d^2=f,e^2=g,f^2=g,b^a=bc,c^a=ce,e^a=eg,h^a=h^46,c^b=ceg,d^b=dg,e^b=eg,h^b=h^46952 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1336, C2×#20241365, #26126071, … |
| maximal normal subgroup of | D47×#1336, C2×#20241365, #26126071, … |
| maximal quotient of | #26102934, #26102937, #26102940, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2487);