Finite Group Databasebeta

← Group #280470

Character table — Group #280470

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1111-1-1111111-1-1-1
χ911111111111111111-1-1-1-11111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-111111111111-1-1-1-1111111-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11-11111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-11-1-1111111-1-111-1
χ17222222222-22-2-222-2-20000-2222222-2-22200000000-2-2000000000-20000000000000
χ18222222222-22-2-222-2-20000-22222-2-222-2-200000000-2-200000000020000000000000
χ19222222222-22-2-222-2-20000-2-2-2-2-222-2-2-2-2000000002200000000020000000000000
χ20222222222-22-2-222-2-20000-2-2-2-2-2-2-222220000000022000000000-20000000000000
χ2122222222-22-222-2-22-22222-2000000000022-2-222-2-20000000000-200000000000000
χ2222222222-22-222-2-22-22222-20000000000-2-2-2-2-2-2220000000000200000000000000
χ2322222222-22-222-2-22-2-2-2-2-2-200000000002222-2-2220000000000-200000000000000
χ2422222222-22-222-2-22-2-2-2-2-2-20000000000-2-22222-2-20000000000200000000000000
χ2522-2-2-2-2220202-200-202i2i−2i−2i022−2−20000002i−2i002-2002−2i2i2−i2−i222−2−200000000i2−i200000
χ2622-2-2-2-2220202-200-202i2i−2i−2i022−2−2000000−2i2i00-22002−2i2i2−i2−i2−2−22200000000−i2i200000
χ2722-2-2-2-2220202-200-202i2i−2i−2i0−2−2220000002i−2i002-200−22−i2−i2i2i2−2−22200000000−i2i200000
χ2822-2-2-2-2220202-200-202i2i−2i−2i0−2−222000000−2i2i00-2200−22−i2−i2i2i222−2−200000000i2−i200000
χ2922-2-2-2-2220202-200-20−2i−2i2i2i022−2−20000002i−2i00-22002−2−i2−i2i2i2−2−22200000000i2−i200000
χ3022-2-2-2-2220202-200-20−2i−2i2i2i022−2−2000000−2i2i002-2002−2−i2−i2i2i222−2−200000000−i2i200000
χ3122-2-2-2-2220202-200-20−2i−2i2i2i0−2−2220000002i−2i00-2200−22i2i2−i2−i222−2−200000000−i2i200000
χ3222-2-2-2-2220202-200-20−2i−2i2i2i0−2−222000000−2i2i002-200−22i2i2−i2−i2−2−22200000000i2−i200000
χ332-2-2-2222-222-2-2-22-2220000-200002i−2i2i−2i0000000000002i−2i2i−2i0000002-200000000000
χ342-2-2-2222-222-2-2-22-2220000-200002i−2i2i−2i000000000000−2i2i−2i2i000000-2200000000000
χ352-2-2-2222-222-2-2-22-2220000-20000−2i2i−2i2i0000000000002i−2i2i−2i000000-2200000000000
χ362-2-2-2222-222-2-2-22-2220000-20000−2i2i−2i2i000000000000−2i2i−2i2i0000002-200000000000
χ372-2-2-2222-22-2-2222-2-2-22-22-2200002i−2i−2i2i00002-20000000000000000002i−2i000000000
χ382-2-2-2222-22-2-2222-2-2-22-22-220000−2i2i2i−2i00002-2000000000000000000−2i2i000000000
χ392-2-2-2222-22-2-2222-2-2-2-22-22200002i−2i−2i2i0000-22000000000000000000−2i2i000000000
χ402-2-2-2222-22-2-2222-2-2-2-22-2220000−2i2i2i−2i0000-220000000000000000002i−2i000000000
χ412-2-2-2222-2-2-2222-22-222-22-2-2000000000000-22000000000000000000002i−2i002i−2i000
χ422-2-2-2222-2-2-2222-22-222-22-2-2000000000000-2200000000000000000000−2i2i00−2i2i000
χ432-2-2-2222-2-2-2222-22-22-22-22-20000000000002-2000000000000000000002i−2i00−2i2i000
χ442-2-2-2222-2-2-2222-22-22-22-22-20000000000002-200000000000000000000−2i2i002i−2i000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-44-4-4-40000000000000022−2222−2200000000000022−220000002-22-2000000000000000
χ47444-44-4-4-40000000000000022−2222−22000000000000−2222000000-22-22000000000000000
χ48444-44-4-4-400000000000000−2222−222200000000000022−22000000-22-22000000000000000
χ49444-44-4-4-400000000000000−2222−2222000000000000−22220000002-22-2000000000000000
χ5044-44-44-4-440-400-44000000000000000000000000000000022−22−2222000000000000000
χ5144-44-44-4-440-400-440000000000000000000000000000000−222222−22000000000000000
χ5244-44-44-4-4-404004-400000004-4-44000000000000000000000000000000000000000
χ5344-44-44-4-4-404004-40000000-444-4000000000000000000000000000000000000000
χ5444-4-4-4-4440-40-440040000002222−22−2200000000000000−222200000000000000000000000
χ5544-4-4-4-4440-40-44004000000−22−2222220000000000000022−2200000000000000000000000
χ564-444-4-44-4040-4400-40000000000000000000000000022−22−22220000000000000000000
χ574-444-4-44-4040-4400-400000000000000000000000000−222222−220000000000000000000
χ584-444-4-44-40-404-400404i−4i−4i4i00000000000000000000000000000000000000000000
χ594-444-4-44-40-404-40040−4i4i4i−4i00000000000000000000000000000000000000000000
χ604-44-4-44-4440400-4-4000000000000000000000000000000000000000000000002i2−2i20
χ614-44-4-44-4440400-4-400000000000000000000000000000000000000000000000−2i22i20
χ624-44-4-44-44-40-400440000000000000004-4000000000000000000000000000000000
χ634-44-4-44-44-40-40044000000000000000-44000000000000000000000000000000000
χ644-4-4-4444-4-444-4-4-444-4000040000000000000000000000000000000000000000000
χ658-8-888-8-88000000000000000000000000000000000000000000000000000000000

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