Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | Q32×D293 |
| Fitting | Q32×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
1628 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD64×D293, Q64×D293, #49161101, … |
| maximal normal subgroup of | SD64×D293, Q64×D293, #49161101, … |
| maximal quotient of | #358×D293, #366×D293, #49160641, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 975);