Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C47 ⋊ #3084 |
376 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=eg,b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^46,d^b=dg,f^c=fg814 conjugacy classes — view the full character table.
| maximal subgroup of | #26273818, #26273822, #26273833, … |
| maximal normal subgroup of | #26273818, #26273822, #26273833, … |
| maximal quotient of | #26215805, #26217282, #26217320, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 14372);