Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#467 ⋊ C2 |
| Sylow | C47 ⋊ #3201 |
390 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|c^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^46,c^b=ce,d^b=dg,f^c=fg,h^c=h^46,h^d=h^46532 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3201, C2×#20254273, #27087000, … |
| maximal normal subgroup of | D47×#3201, C2×#20254273, #27087000, … |
| maximal quotient of | #26225379, #26225398, #26226581, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15395);