Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C73 ⋊ #20839 |
1458 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
Polycyclic presentation:
2^8,73|a^2=g,b^2=g,g^2=h,b^a=be,c^a=cf,d^a=dh,i^a=i^46,i^b=i^27,d^c=dh,i^d=i^72,i^g=i^72580 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 1105018);