Finite Group DatabasebetaFinite Group Databasebeta| order | 20224 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Fitting | C2×C4×C22⋊C4×C79 ⋊ C2 |
| Sylow | C79 ⋊ #14743 |
1878 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10112 |
Polycyclic presentation:
2^8,79|b^2=f,c^2=e,d^2=e,b^a=be,c^a=cf,d^a=dh,i^a=i^78,c^b=cg3184 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20224, 101281);