Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4×C8 · Schur multiplier (H2) = C23×C42 |
No aliases for this group.
| Fitting | C73×#1744 ⋊ C2 |
| Sylow | C73 ⋊ C8×#117 |
1174 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
Polycyclic presentation:
2^8,73|a^2=f,b^2=g,c^2=f,d^2=e,f^2=h,b^a=be,i^c=i^723040 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 167769);