Finite Group DatabasebetaFinite Group Databasebeta| order | 18688 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C22×C42 |
No aliases for this group.
| Fitting | C73×#1434 ⋊ C2 |
| Sylow | C73 ⋊ #14269 |
1522 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9344 |
Polycyclic presentation:
2^8,73|a^2=h,c^2=e,d^2=f,b^a=be,c^a=cf,c^b=cg,i^b=i^72,d^c=de,i^c=i^722080 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18688, 96056);