Finite Group DatabasebetaFinite Group Databasebeta| order | 4352 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C26×C4 |
No aliases for this group.
| Fitting | C17×#380 ⋊ C4 |
| Sylow | C17 ⋊ C22⋊C4×C4⋊C4 |
2574 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
Polycyclic presentation:
2^8,17|a^2=g,b^2=h,d^2=e,b^a=be,c^a=cf,i^a=i^4,d^b=de,i^b=i^13,i^g=i^16,i^h=i^16212 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4352, 1098266);