Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×#41×C47 ⋊ C2 |
| Sylow | C47 ⋊ #2943 |
492 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=f,c^2=f,d^2=g,e^2=g,b^a=be,c^a=cg,e^a=eg,e^b=eg,h^b=h^46964 conjugacy classes — view the full character table.
| maximal subgroup of | #26214836, #26214839, #26214855, … |
| maximal normal subgroup of | #26214836, #26214839, #26214855, … |
| maximal quotient of | #26185682, #26185848, #26185852, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13308);