Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Sylow | C17 ⋊ D4×C22⋊C8 |
2012 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
Polycyclic presentation:
2^8,17|a^2=g,g^2=h,b^a=be,c^a=cf,i^a=i^13,d^b=de,i^b=i^16,i^d=i^16,i^g=i^16260 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1109629);