Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | SD32×D293 |
| Fitting | SD32×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4688 |
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×SD32×D293, #508×D293, #509×D293, … |
| maximal normal subgroup of | C2×SD32×D293, #508×D293, #509×D293, … |
| maximal quotient of | #357×D293, #358×D293, #367×D293, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 971);