Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C293 ⋊ #475 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
Polycyclic presentation:
2^6,293|a^2=d,b^2=d,c^2=f,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^2922063 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157968, #49157969, #49157982, … |
| maximal normal subgroup of | #49157968, #49157969, #49157982, … |
| maximal quotient of | #49158787, #49159052, #49159360, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 831);