Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C2×C8 |
No aliases for this group.
| Fitting | C4×C8×C17 ⋊ C8 |
| Sylow | C17 ⋊ #8266 |
414 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
Polycyclic presentation:
2^8,17|a^2=e,b^2=f,c^2=de,d^2=g,f^2=h,b^a=bd,d^b=dg,e^b=eg,i^b=i^9,i^f=i^13,i^h=i^16176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1116871);