Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25×C4 |
No aliases for this group.
| Fitting | C2×#397×C73 ⋊ C2 |
| Sylow | C73 ⋊ #15136 |
1846 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
Polycyclic presentation:
2^8,73|b^2=f,c^2=e,d^2=h,b^a=be,c^a=cf,d^a=dh,c^b=cg,i^d=i^721648 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 106220);