Finite Group DatabasebetaFinite Group Databasebeta| order | 21248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C4×#103×C83 ⋊ C2 |
| Sylow | C83 ⋊ #26727 |
790 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10624 |
Polycyclic presentation:
2^8,83|b^2=h,c^2=eh,d^2=fh,g^2=h,b^a=be,c^a=cf,d^a=de,i^a=i^82,c^b=cg,g^b=gh,g^c=gh2348 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(21248, 237704);