Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×#102×C47 ⋊ C2 |
| Sylow | C47 ⋊ #2897 |
778 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=f,e^2=g,b^a=be,e^a=eg,e^b=eg,d^c=dg,h^d=h^46688 conjugacy classes — view the full character table.
| maximal subgroup of | #26232258, #26232263, #26232274, … |
| maximal normal subgroup of | #26232258, #26232263, #26232274, … |
| maximal quotient of | #26182655, #26182748, #26182749, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13031);