Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Sylow | C293 ⋊ #382 |
154 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18752 |
Polycyclic presentation:
2^6,293|a^2=f,b^2=e,c^2=d,b^a=bd,c^a=ce,g^b=g^292,g^c=g^2922948 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49156728, #49158793, #49158794, … |
| maximal normal subgroup of | #49156728, #49158793, #49158794, … |
| maximal quotient of | #49157011, #49157014, #49157041, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 414);