Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C293 ⋊ #544 |
206 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
Polycyclic presentation:
2^6,293|a^2=f,b^2=e,c^2=f,b^a=be,c^a=cf,d^a=de,g^a=g^292,c^b=ce2942 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49157724, #49157727, #49157758, … |
| maximal normal subgroup of | #49157724, #49157727, #49157758, … |
| maximal quotient of | #49161403, #49161409, #49161518, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 1180);