Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Sylow | C17 ⋊ #60144 |
2778 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=g,c^2=g,g^2=h,b^a=bf,d^a=dh,e^a=eh,i^a=i^13,e^b=eh,d^c=dh,i^c=i^13,i^d=i^16,i^e=i^16,i^g=i^16200 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1114969);