Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C293 ⋊ #383 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
Polycyclic presentation:
2^6,293|a^2=f,b^2=de,c^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 | #49156650, #49156651, #49157332, … |
| maximal normal subgroup of | #49156650, #49156651, #49157332, … |
| maximal quotient of | #49157012, #49157047, #49158928, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 417);