Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C293 ⋊ #380 |
234 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
Polycyclic presentation:
2^6,293|a^2=f,b^2=d,b^a=bd,c^a=ce,g^a=g^2924700 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49156652, #49156653, #49156664, … |
| maximal normal subgroup of | #49156652, #49156653, #49156664, … |
| maximal quotient of | #49157008, #49157012, #49157015, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 409);