Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C47 ⋊ #1334 |
96 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=d,b^2=g,c^2=e,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,c^b=ceg,d^b=dg,e^b=eg,h^b=h^46676 conjugacy classes — view the full character table.
| maximal subgroup of | D47×#1334, C2×#20241357, #26126041, … |
| maximal normal subgroup of | D47×#1334, C2×#20241357, #26126041, … |
| maximal quotient of | #26102935, #26102947, #26103047, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 2479);