Finite Group DatabasebetaFinite Group Databasebeta| order | 18176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C71×#2975 ⋊ C2 |
| Sylow | C71 ⋊ #17406 |
952 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4544 |
Polycyclic presentation:
2^8,71|a^2=f,b^2=g,f^2=h,b^a=be,d^a=dh,e^a=eg,i^a=i^70,c^b=ch,f^b=fg,i^b=i^70,d^c=dg1586 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18176, 135723);