Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×Q16×C47 ⋊ C2 |
| Sylow | C47 ⋊ #3172 |
364 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,c^b=cg,h^b=h^46,h^c=h^46676 conjugacy classes — view the full character table.
| maximal subgroup of | #26186870, #26186874, #26186890, … |
| maximal normal subgroup of | #26186870, #26186874, #26186890, … |
| maximal quotient of | #26216830, #26220520, #26220522, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15114);