Finite Group DatabasebetaFinite Group Databasebeta| order | 34432 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | #484×C269 ⋊ C2 |
| Sylow | C269 ⋊ #3297 |
420 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
Polycyclic presentation:
2^7,269|a^2=eg,b^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=de,h^b=h^268,f^c=fg,h^c=h^2682581 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(34432, 16358);