Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#22627563 |
| Fitting | C2×C16×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×M32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
4712 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49156924, C4×#22627563, #49160378, … |
| maximal normal subgroup of | #49156924, C4×#22627563, #49160378, … |
| maximal quotient of | C2×#34035904, C4×#22627563, C2×#34035908, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 963);