Finite Group DatabasebetaFinite Group Databasebeta| order | 26973 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C35 |
No aliases for this group.
| Fitting | C37×H(5,𝔽3) ⋊ C3 |
| Sylow | C37 ⋊ #10624761 |
476 conjugacy classes of subgroups.
| transitive degree | μt(G) = 999 |
Polycyclic presentation:
3^6,37|a^3=f^2,b^a=bd,c^a=ce,d^a=df,g^a=g^26,d^b=df,e^c=ef1053 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(26973, 2443);