Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×#41×C47 ⋊ C2 |
| Sylow | C47 ⋊ #3111 |
392 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^46,d^c=dg,f^c=fg952 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3111, C2×#20253497, #27084494, … |
| maximal normal subgroup of | D47×#3111, C2×#20253497, #27084494, … |
| maximal quotient of | #26216352, #26219294, #26219309, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 14619);