Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Fitting | C71×#2994 ⋊ C2 |
| Sylow | C71 ⋊ #60264 |
1872 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4544 |
Polycyclic presentation:
2^8,71|a^2=g,d^2=f,g^2=h,b^a=bf,d^a=df,e^a=eh,c^b=cf,d^b=dh,i^d=i^70,i^e=i^701826 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 1034695);