Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C293 ⋊ #423 |
126 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
Polycyclic presentation:
2^6,293|a^2=e,b^2=d,e^2=f,b^a=bd,c^a=cf,g^a=g^2924700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49156643, #49156644, #49156659, … |
| maximal normal subgroup of | #49156643, #49156644, #49156659, … |
| maximal quotient of | #49157541, #49157544, #49157548, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 573);