Finite Group DatabasebetaFinite Group Databasebeta| order | 25029 |
| automorphism | ? |
| homology | Abelianization (H1) = C32 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Fitting | #733×C103 ⋊ C3 |
| Sylow | C103 ⋊ #6883 |
40 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2781 |
Polycyclic presentation:
3^5,103|a^3=e^2,b^3=d^2,c^3=e^2,b^a=bc,c^a=cd,d^a=de,c^b=ce,f^b=f^56597 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(25029, 149);