Finite Group DatabasebetaFinite Group Databasebeta| order | 30861 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
No aliases for this group.
| Fitting | #737×C127 ⋊ C3 |
| Sylow | C127 ⋊ 3−1+4 |
460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3429 |
Polycyclic presentation:
3^5,127|a^3=e,b^a=be,d^a=de,c^b=ce,f^d=f^1071469 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(30861, 305);