Finite Group DatabasebetaFinite Group Databasebeta| order | 18752 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22627568 |
| Sylow | C293 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9376 |
2066 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22627568, #49160640, #49160646, … |
| maximal normal subgroup of | C4×#22627568, #49160640, #49160646, … |
| maximal quotient of | C2×#34035930, C2×#34035932, C2×#34035956, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18752, 973);