Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22627569 |
| Fitting | C2×C16×C293 ⋊ C2 |
| Sylow | C293 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
4694 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49160636, C4×#22627569, #49160648, … |
| maximal normal subgroup of | #49160636, C4×#22627569, #49160648, … |
| maximal quotient of | C2×#34035931, C2×#34035934, C2×#34035957, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 974);