Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | Q8×C22⋊C4×C47 ⋊ C2 |
| Sylow | C47 ⋊ #22855 |
1170 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=g,b^2=g,d^2=h,e^2=h,b^a=be,c^a=cf,e^a=eh,d^b=de,e^b=eh,i^b=i^46,e^d=eh1208 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 189836);