Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C17 ⋊ #12551 |
586 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,e^2=g,g^2=h,b^a=bd,d^a=dh,i^a=i^9,c^b=ch,e^b=eh,i^b=i^4,i^e=i^13,i^f=i^16,i^g=i^16128 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1117644);