Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C2×C4×C22⋊C4×C73 ⋊ C2 |
| Sylow | C73 ⋊ #34570 |
2094 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4672 |
Polycyclic presentation:
2^8,73|b^2=g,e^2=f,b^a=bf,c^a=cg,d^a=dh,i^a=i^72,c^b=ch2944 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 336100);