Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C4×C4⋊C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ #20559 |
1118 conjugacy classes of subgroups.
Polycyclic presentation:
2^8,47|a^2=f,b^2=g,c^2=f,f^2=h,b^a=be,c^a=ch,d^a=deh,c^b=ce,i^c=i^46,i^d=i^461940 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 168494);