Finite Group Databasebeta

← Group #260201

Character table — Group #260201

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444444448888888888888888888888888881616161616161616161616161616
order12222222444444444444444444444444444444444888888888888888822224444448888
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1
χ31111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1
χ41111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111-1-1-1-1111-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1
χ611111111111111111111111-1-1-1-1111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ711111111111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ811111111111111111111111-1-1-1-1111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-111-1-1-1-1
χ911111111-1-1-1-1111111111-1-11111-1-1111-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111-1-1111-1-1-111-1-1
χ1011111111-1-1-1-1111111111-1-11111-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-111-1-111
χ1111111111-1-1-1-1111111111-1-11111-1-1111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-11-1-1-1-111
χ1211111111-1-1-1-1111111111-1-11111-1-1111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-111111-1-1
χ1311111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-11111-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11-111-1-111
χ1411111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-11111-111-1-1-1-1-1-11111-1-1-1-11111-1-111111-1-1-111-1-1
χ1511111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-11111-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-111111-1-1
χ1611111111-1-1-1-1111111111-1-1-1-1-1-1-1-11-1-11111-1-1-111-1-1-1-111111111-1-1-1-111-1-111-11-1-1-1-111
χ1722222222222222-2-2-222-2-2222222-2-2-2-2-222-2-2-20000000000000000000000000000000000
χ1822222222222222-2-2-222-2-222-2-2-2-2-2-2-222-2-222-20000000000000000000000000000000000
χ19222222222222-2-2222-2-22-2-2-2000022-2000000-222220000000000000000000000-2-2000000
χ20222222222222-2-2222-2-22-2-2-2000022-2000000-2-2-2-2-2000000000000000000000022000000
χ21222222222222-2-2-2-2-2-2-2-22-2-20000-2-220000002000000000000000000002-22-20000000000
χ22222222222222-2-2-2-2-2-2-2-22-2-20000-2-22000000200000000000000000000-22-220000000000
χ2322222222-2-2-2-222-2-2-222-2-2-2-2222222-2-2-2-2-22220000000000000000000000000000000000
χ2422222222-2-2-2-222-2-2-222-2-2-2-2-2-2-2-222-22222-2-220000000000000000000000000000000000
χ2522222222-2-2-2-2-2-2222-2-22-2220000-2-2-2000000222-2-20000000000000000000000-22000000
χ2622222222-2-2-2-2-2-2222-2-22-2220000-2-2-20000002-2-22200000000000000000000002-2000000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-22220000222000000-2000000000000000000002-2-220000000000
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-22220000222000000-200000000000000000000-222-20000000000
χ292222-2-2-2-222-2-2-2-200022002-22i2i−2i−2i000002i−2i000000000000000i2i2−i2−i2i2i2−i2−i200000000002−22−2
χ302222-2-2-2-222-2-2-2-200022002-22i2i−2i−2i000002i−2i000000000000000−i2−i2i2i2−i2−i2i2i20000000000−22−22
χ312222-2-2-2-222-2-2-2-200022002-2−2i−2i2i2i00000−2i2i000000000000000i2i2−i2−i2i2i2−i2−i20000000000−22−22
χ322222-2-2-2-222-2-2-2-200022002-2−2i−2i2i2i00000−2i2i000000000000000−i2−i2i2i2−i2−i2i2i200000000002−22−2
χ332222-2-2-2-2-2-222-2-20002200-222i2i−2i−2i00000−2i2i000000000000000i2i2−i2−i2−i2−i2i2i200000000002−2−22
χ342222-2-2-2-2-2-222-2-20002200-222i2i−2i−2i00000−2i2i000000000000000−i2−i2i2i2i2i2−i2−i20000000000−222−2
χ352222-2-2-2-2-2-222-2-20002200-22−2i−2i2i2i000002i−2i000000000000000i2i2−i2−i2−i2−i2i2i20000000000−222−2
χ362222-2-2-2-2-2-222-2-20002200-22−2i−2i2i2i000002i−2i000000000000000−i2−i2i2i2i2i2−i2−i200000000002−2−22
χ3722-2-2-22-222-22-20022-200-200000002-2000000002i−2i2i−2ii2i2−i2−i2i2i2−i2−i22−22−22−22−200000000000000
χ3822-2-2-22-222-22-20022-200-200000002-2000000002i−2i2i−2i−i2−i2i2i2−i2−i2i2i2−22−22−22−2200000000000000
χ3922-2-2-22-222-22-20022-200-200000002-200000000−2i2i−2i2ii2i2−i2−i2i2i2−i2−i2−22−22−22−2200000000000000
χ4022-2-2-22-222-22-20022-200-200000002-200000000−2i2i−2i2i−i2−i2i2i2−i2−i2i2i22−22−22−22−200000000000000
χ4122-2-2-22-22-22-220022-200-20000000-22000000002i−2i−2i2ii2i2−i2−i2−i2−i2i2i22−22−2−22−2200000000000000
χ4222-2-2-22-22-22-220022-200-20000000-22000000002i−2i−2i2i−i2−i2i2i2i2i2−i2−i2−22−222−22−200000000000000
χ4322-2-2-22-22-22-220022-200-20000000-2200000000−2i2i2i−2ii2i2−i2−i2−i2−i2i2i2−22−222−22−200000000000000
χ4422-2-2-22-22-22-220022-200-20000000-2200000000−2i2i2i−2i−i2−i2i2i2i2i2−i2−i22−22−2−22−2200000000000000
χ452-22-222-2-200002-22-222-2-2-2002i−2i2i−2i0022i−2i0000000002i−2i2i−2i00000000000000002-200000000
χ462-22-222-2-200002-22-222-2-2-2002i−2i2i−2i0022i−2i000000000−2i2i−2i2i0000000000000000-2200000000
χ472-22-222-2-200002-22-222-2-2-200−2i2i−2i2i002−2i2i0000000002i−2i2i−2i0000000000000000-2200000000
χ482-22-222-2-200002-22-222-2-2-200−2i2i−2i2i002−2i2i000000000−2i2i−2i2i00000000000000002-200000000
χ492-22-222-2-200002-2-22-22-222002i−2i2i−2i00-2−2i2i00000000000002-22-200000000000000002i−2i0000
χ502-22-222-2-200002-2-22-22-222002i−2i2i−2i00-2−2i2i0000000000000-22-220000000000000000−2i2i0000
χ512-22-222-2-200002-2-22-22-22200−2i2i−2i2i00-22i−2i00000000000002-22-20000000000000000−2i2i0000
χ522-22-222-2-200002-2-22-22-22200−2i2i−2i2i00-22i−2i0000000000000-22-2200000000000000002i−2i0000
χ534444-4-4-4-444-4-444000-4-400-44000000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-44444000-4-4004-4000000000000000000000000000000000000000000000000
χ5544-4-44-44-44-4-4400000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ5644-4-44-44-44-4-440000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000
χ5744-4-44-44-4-444-400000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
χ5844-4-44-44-4-444-40000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000000000
χ5944-4-4-44-444-44-400-4-440040000000-44000000000000000000000000000000000000000000
χ6044-4-4-44-44-44-4400-4-4400400000004-4000000000000000000000000000000000000000000
χ614-44-444-4-40000-444-44-44-4400000000-400000000000000000000000000000000000000000
χ624-44-444-4-40000-44-44-4-444-400000000400000000000000000000000000000000000000000
χ634-44-4-4-44400004-4000-440000000000000004-400000000000000000000000000000000000
χ644-44-4-4-44400004-4000-44000000000000000-4400000000000000000000000000000000000
χ654-44-4-4-4440000-440004-400004-4-4400000000000000000000000000000000000000000000
χ664-44-4-4-4440000-440004-40000-444-400000000000000000000000000000000000000000000
χ674-4-44-444-40000004-4-400400000000000000000000022−22−222200000000000000000000000000
χ684-4-44-444-40000004-4-4004000000000000000000000−222222−2200000000000000000000000000
χ694-4-44-444-4000000-44400-400000000000000000000000002i2−2i2−2i22i20000000000000000000000
χ704-4-44-444-4000000-44400-40000000000000000000000000−2i22i22i2−2i20000000000000000000000
χ718-8-888-8-88000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).