Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×#131×C47 ⋊ C2 |
| Sylow | C47 ⋊ #2955 |
456 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=f,c^2=f,e^2=g,f^2=g,b^a=be,d^a=dg,e^a=eg,e^b=eg,h^b=h^46964 conjugacy classes — view the full character table.
| maximal subgroup of | #26133145, #26133146, #26133148, … |
| maximal normal subgroup of | #26133145, #26133146, #26133148, … |
| maximal quotient of | C8×#13094049, C8×#13094050, C8×#13094054, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13411);