Finite Group Databasebeta

← Group #290993

Character table — Group #290993

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222222244444488888888888888888888888888888888888881616161616163232
order12222222222244444444444444224444444444488888888888888888888888824444444
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ3111111111111111111111111111111-1-11-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1
χ4111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-111
χ511111111111111111111111111-1-1-1-111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111
χ611111111111111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-11-1-1-1-1
χ711111111111111111111111111-1-1-1-1-1-11-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1
χ811111111111111111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ911111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11-11-1111-1
χ1011111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-11-111-11
χ1111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-11
χ1211111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11-1
χ1311111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11-1
χ1411111111-1-1-1-111111111-1-1-1-111-1-11111-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-1-11
χ1511111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-11-1111-11
χ1611111111-1-1-1-111111111-1-1-1-111-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-11111-1
χ17222222222222222-2-2-22-222-2-2-2-2000022-2220000000000000000000000000000-200-20000
χ18222222222222222-2-2-22-222-2-2-2-20000-2-2-2-2-2000000000000000000000000000020020000
χ19222222222222-2-2-2222-22-2-222-2-2222200-20000000000000000000000000000000-2-200000
χ20222222222222-2-2-2222-22-2-222-2-2-2-2-2-200-200000000000000000000000000000002200000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-22200000020022-2-200000000000000000000000000002-200
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-222000000200-2-2220000000000000000000000000000-2200
χ2322222222-2-2-2-2222-2-2-22-2-2-222-2-20000222-2-20000000000000000000000000000-20020000
χ2422222222-2-2-2-2222-2-2-22-2-2-222-2-20000-2-22220000000000000000000000000000200-20000
χ2522222222-2-2-2-2-2-2-2222-2222-2-2-2-222-2-200200000000000000000000000000000002-200000
χ2622222222-2-2-2-2-2-2-2222-2222-2-2-2-2-2-2220020000000000000000000000000000000-2200000
χ2722222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-20022-2-20000000000000000000000000000-2200
χ2822222222-2-2-2-2-2-2-2-2-2-2-2-2222222000000-200-2-22200000000000000000000000000002-200
χ292222-2-2-2-222-2-22-2-2000202-2000000002i−2i02i−2i000000000000i2i2−i2−i2i2i2−i2−i222−2−222−2−200000000
χ302222-2-2-2-222-2-22-2-2000202-2000000002i−2i02i−2i000000000000−i2−i2i2i2−i2−i2i2i2−2−222−2−22200000000
χ312222-2-2-2-222-2-22-2-2000202-200000000−2i2i0−2i2i000000000000i2i2−i2−i2i2i2−i2−i2−2−222−2−22200000000
χ322222-2-2-2-222-2-22-2-2000202-200000000−2i2i0−2i2i000000000000−i2−i2i2i2−i2−i2i2i222−2−222−2−200000000
χ332222-2-2-2-2-2-2222-2-200020-22000000002i−2i0−2i2i000000000000i2i2−i2−i2−i2−i2i2i222−2−2−2−22200000000
χ342222-2-2-2-2-2-2222-2-200020-22000000002i−2i0−2i2i000000000000−i2−i2i2i2i2i2−i2−i2−2−22222−2−200000000
χ352222-2-2-2-2-2-2222-2-200020-2200000000−2i2i02i−2i000000000000i2i2−i2−i2−i2−i2i2i2−2−22222−2−200000000
χ362222-2-2-2-2-2-2222-2-200020-2200000000−2i2i02i−2i000000000000−i2−i2i2i2i2i2−i2−i222−2−2−2−22200000000
χ372-22-22-22-2000022-22-2-2-2200002-20000000002i−2i2i−2i2i2i−2i−2i000000002-22-20000000000000000
χ382-22-22-22-2000022-22-2-2-2200002-20000000002i−2i2i−2i−2i−2i2i2i00000000-22-220000000000000000
χ392-22-22-22-2000022-22-2-2-2200002-2000000000−2i2i−2i2i2i2i−2i−2i00000000-22-220000000000000000
χ402-22-22-22-2000022-22-2-2-2200002-2000000000−2i2i−2i2i−2i−2i2i2i000000002-22-20000000000000000
χ412-22-22-22-20000-2-22-2222-200002-20000000002i−2i−2i2i000022-2-22i−2i2i−2i00000000000000000000
χ422-22-22-22-20000-2-22-2222-200002-20000000002i−2i−2i2i0000-2-222−2i2i−2i2i00000000000000000000
χ432-22-22-22-20000-2-22-2222-200002-2000000000−2i2i2i−2i000022-2-2−2i2i−2i2i00000000000000000000
χ442-22-22-22-20000-2-22-2222-200002-2000000000−2i2i2i−2i0000-2-2222i−2i2i−2i00000000000000000000
χ452-2-222-2-222-22-200022-20-2002-2002-22-2000000000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i200000000
χ462-2-222-2-222-22-200022-20-2002-2002-22-2000000000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i200000000
χ472-2-222-2-222-22-200022-20-2002-200-22-22000000000i2−i2i2−i2i2−i2i2−i200000000−i2i2−i2i2−i2i2−i2i200000000
χ482-2-222-2-222-22-200022-20-2002-200-22-22000000000−i2i2−i2i2−i2i2−i2i200000000i2−i2i2−i2i2−i2i2−i200000000
χ492-2-222-2-22-22-2200022-20-200-22002-2-22000000000i2−i2i2−i2−i2i2−i2i200000000i2−i2i2−i2−i2i2−i2i200000000
χ502-2-222-2-22-22-2200022-20-200-22002-2-22000000000−i2i2−i2i2i2−i2i2−i200000000−i2i2−i2i2i2−i2i2−i200000000
χ512-2-222-2-22-22-2200022-20-200-2200-222-2000000000i2−i2i2−i2−i2i2−i2i200000000−i2i2−i2i2i2−i2i2−i200000000
χ522-2-222-2-22-22-2200022-20-200-2200-222-2000000000−i2i2−i2i2i2−i2i2−i200000000i2−i2i2−i2−i2i2−i2i200000000
χ534444-4-4-4-444-4-4-444000-40-440000000000000000000000000000000000000000000000000
χ544444-4-4-4-4-4-444-444000-404-40000000000000000000000000000000000000000000000000
χ5544-4-444-4-400000004-440-4000000000000000000022−22−22220000000000000000000000000000
χ5644-4-444-4-400000004-440-40000000000000000000−222222−220000000000000000000000000000
χ5744-4-444-4-40000000-44-404000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ5844-4-444-4-40000000-44-40400000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ594-44-44-44-4000044-4-444-4-40000-44000000000000000000000000000000000000000000000
χ604-44-44-44-40000-4-444-4-4440000-44000000000000000000000000000000000000000000000
χ614-44-4-44-4400004-44000-4000000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ624-44-4-44-4400004-44000-400000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ634-44-4-44-440000-44-40004000000000000000000000000000022−22−222200000000000000000000
χ644-44-4-44-440000-44-400040000000000000000000000000000−222222−2200000000000000000000
χ654-4-444-4-444-44-4000-4-440400-4400000000000000000000000000000000000000000000000
χ664-4-444-4-44-44-44000-4-4404004-400000000000000000000000000000000000000000000000
χ674-4-44-444-44-4-4400000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ684-4-44-444-44-4-440000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ694-4-44-444-4-444-400000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
χ704-4-44-444-4-444-40000000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i00000000
χ7188-8-8-8-888000000000000000000000000000000000000000000000000000000000000000

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