Finite Group DatabasebetaFinite Group Databasebeta| order | 26176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | #131×C409 ⋊ C2 |
| Sylow | C409 ⋊ #576 |
268 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6544 |
Polycyclic presentation:
2^6,409|e^2=f,b^a=be,e^a=ef,g^a=g^408,e^b=ef,g^b=g^408,d^c=df4102 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26176, 1354);