Finite Group DatabasebetaFinite Group Databasebeta| order | 22432 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | D4×C701 ⋊ C4 |
| Sylow | C701 ⋊ #102 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5608 |
Polycyclic presentation:
2^5,701|a^2=d,c^2=e,b^a=bc,c^a=ce,f^a=f^566,c^b=ce,f^d=f^700889 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22432, 208);