Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C71 ⋊ #10805 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2272 |
Polycyclic presentation:
2^8,71|a^2=f,b^2=g,c^2=d,d^2=h,g^2=h,b^a=bd,c^a=ce,e^a=eh,g^a=gh,f^b=fh,i^b=i^70,f^c=fh,i^c=i^702024 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 75218);