Finite Group Databasebeta

← Group #308522

Character table — Group #308522

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-11-1-1-1-1-1-111-1
χ31111111111111111111111111111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111-111-1-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-11
χ51111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111-1-1-111-1-111-1
χ911111111111111111-1-1-1-111111-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1111-1-11-1-1-1-1-1-1111
χ1011111111111111111-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-111111111111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-11111-1-11-1-1-1-1-11111-1-1-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-111-111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111111111-1111-1-1-1-111-1-1-1
χ1411111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-11-1-111111-1-1-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-111-1-1-111-1-1111
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1111-1-1-111-1-11111-1
χ17222222222-2-22-222-2-22222-20000-2-222000000-2-222000000000000000-2000000000
χ18222222222-2-22-222-2-22222-20000-2-2-2-200000022-2-20000000000000002000000000
χ19222222222-2-22-222-2-2-2-2-2-2-20000222200000022-2-2000000000000000-2000000000
χ20222222222-2-22-222-2-2-2-2-2-2-2000022-2-2000000-2-2220000000000000002000000000
χ2122222222-222-22-2-22-20000-22222000022-2-2220000-2-20000000000-2000000000000
χ2222222222-222-22-2-22-20000-222220000-2-222-2-20000-2-200000000002000000000000
χ2322222222-222-22-2-22-20000-2-2-2-2-2000022-2-2-2-200002200000000002000000000000
χ2422222222-222-22-2-22-20000-2-2-2-2-20000-2-222220000220000000000-2000000000000
χ252-2222-2-2-2222-2-22-2-2222-2-2-200002-200000000000000000000002-20000002-200000
χ262-2222-2-2-2222-2-22-2-2222-2-2-200002-20000000000000000000000-22000000-2200000
χ272-2222-2-2-2222-2-22-2-22-2-222-20000-2200000000000000000000002-2000000-2200000
χ282-2222-2-2-2222-2-22-2-22-2-222-20000-220000000000000000000000-220000002-200000
χ292-2222-2-2-22-2-2-222-22-222-2-220000-22002i−2i2i−2i00000000000000000000002i−2i0000000
χ302-2222-2-2-22-2-2-222-22-222-2-220000-2200−2i2i−2i2i0000000000000000000000−2i2i0000000
χ312-2222-2-2-22-2-2-222-22-2-2-222200002-2002i−2i2i−2i0000000000000000000000−2i2i0000000
χ322-2222-2-2-22-2-2-222-22-2-2-222200002-200−2i2i−2i2i00000000000000000000002i−2i0000000
χ332-2222-2-2-2-2-2-222-22220000-2000000002i−2i−2i2i0000000022-2-200000002i−2i0000000000
χ342-2222-2-2-2-2-2-222-22220000-2000000002i−2i−2i2i00000000-2-2220000000−2i2i0000000000
χ352-2222-2-2-2-2-2-222-22220000-200000000−2i2i2i−2i0000000022-2-20000000−2i2i0000000000
χ362-2222-2-2-2-2-2-222-22220000-200000000−2i2i2i−2i00000000-2-22200000002i−2i0000000000
χ372-22-2-2-22220020-2-2002-22-2022−2−2002i−2i000000002i−2i2−22−22−2i2i2−i2−i2000000000000i2−i20
χ382-22-2-2-22220020-2-2002-22-2022−2−200−2i2i00000000−2i2i2−22−22−2−i2−i2i2i2000000000000−i2i20
χ392-22-2-2-22220020-2-2002-22-20−2−222002i−2i000000002i−2i−22−22−22−i2−i2i2i2000000000000−i2i20
χ402-22-2-2-22220020-2-2002-22-20−2−22200−2i2i00000000−2i2i−22−22−22i2i2−i2−i2000000000000i2−i20
χ412-22-2-2-22220020-2-200-22-22022−2−2002i−2i00000000−2i2i2−2−22−22−i2−i2i2i2000000000000i2−i20
χ422-22-2-2-22220020-2-200-22-22022−2−200−2i2i000000002i−2i2−2−22−22i2i2−i2−i2000000000000−i2i20
χ432-22-2-2-22220020-2-200-22-220−2−222002i−2i00000000−2i2i−222−22−2i2i2−i2−i2000000000000−i2i20
χ442-22-2-2-22220020-2-200-22-220−2−22200−2i2i000000002i−2i−222−22−2−i2−i2i2i2000000000000i2−i20
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-44-4-4400-40-44004-4-4400000000000000000000000000000000000000000000
χ47444-4-44-4-4400-40-4400-444-400000000000000000000000000000000000000000000
χ48444-4-44-4-4-400404-400000000000000000000000000022−22−22220000000000000000000
χ49444-4-44-4-4-400404-4000000000000000000000000000−222222−220000000000000000000
χ5044-4-44-44-404-40400-400000000000000000000000000000022−2222−22000000000000000
χ5144-4-44-44-404-40400-4000000000000000000000000000000−2222−2222000000000000000
χ5244-4-44-44-40-440-40040000004i−4i4i−4i000000000000000000000000000000000000000
χ5344-4-44-44-40-440-4004000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-4444-4-4-4-4444-4-44-4-4000040000000000000000000000000000000000000000000
χ554-44-4-4-444-400-404400000002222−22−2200000000000000−222200000000000000000000000
χ564-44-4-4-444-400-40440000000−22−2222220000000000000022−2200000000000000000000000
χ574-4-44-444-4000000000000002i2−2i2−2i22i2000000000022−22000000002i−2i−2i2i000000000000000
χ584-4-44-444-4000000000000002i2−2i2−2i22i20000000000−222200000000−2i2i2i−2i000000000000000
χ594-4-44-444-400000000000000−2i22i22i2−2i2000000000022−2200000000−2i2i2i−2i000000000000000
χ604-4-44-444-400000000000000−2i22i22i2−2i20000000000−2222000000002i−2i−2i2i000000000000000
χ614-4-4-444-4404-40-40040000000000000000004-400000000000000000000000000000
χ624-4-4-444-4404-40-4004000000000000000000-4400000000000000000000000000000
χ634-4-4-444-440-440400-4000000000000000000000000000000000000000000002i2−2i2000
χ644-4-4-444-440-440400-400000000000000000000000000000000000000000000−2i22i2000
χ6588-88-8-8-88000000000000000000000000000000000000000000000000000000000

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