Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C293 ⋊ #458 |
160 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4688 |
Polycyclic presentation:
2^6,293|a^2=f,b^a=bd,c^a=ce,g^a=g^292,e^b=ef,d^c=df2498 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49160773, #49160774, #49160779, … |
| maximal normal subgroup of | #49160773, #49160774, #49160779, … |
| maximal quotient of | #49157771, #49157776, #49157782, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 739);