Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C42 |
No aliases for this group.
| Fitting | C47×#1445 ⋊ C2 |
| Sylow | C47 ⋊ #14659 |
2222 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|b^2=h,d^2=e,b^a=be,c^a=cf,i^a=i^46,c^b=cg,d^b=def,d^c=de,i^c=i^461064 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 100597);