Finite Group DatabasebetaFinite Group Databasebeta| order | 25029 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C103 ⋊ #6875 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2781 |
Polycyclic presentation:
3^5,103|a^3=d,b^3=c,c^3=e,b^a=bc,c^a=ce,f^a=f^46,d^b=de^21157 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25029, 121);