Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C47×#556 ⋊ C2 |
| Sylow | C47 ⋊ #3401 |
368 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|b^2=e,c^2=e,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^46,c^b=cg,d^b=de,f^c=fg604 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3401, C2×#20256454, #27097315, … |
| maximal normal subgroup of | D47×#3401, C2×#20256454, #27097315, … |
| maximal quotient of | #26233149, #26233158, #26235150, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 17576);