Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C47 ⋊ #3258 |
334 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=g,d^2=e,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^d=h^46394 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#3258, C2×#20254815, #27089256, … |
| maximal normal subgroup of | D47×#3258, C2×#20254815, #27089256, … |
| maximal quotient of | #26226253, #26226271, #26226689, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15937);