Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C17 ⋊ #23382 |
606 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
Polycyclic presentation:
2^8,17|a^2=g,c^2=e,d^2=f,g^2=h,b^a=be,c^a=cf,d^a=def,i^a=i^13,c^b=cefh,d^b=deh,i^b=i^16,d^c=dh,i^c=i^16,i^d=i^16,i^g=i^16140 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1113356);