Finite Group Databasebeta

← Group #309920

Character table — Group #309920

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888222444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1111-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-111-1111-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11-111111111-1-1-1
χ911111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111111111-1
χ1111111111111111111-1-1-1-111111-1-11111-1-111111111-1-1-1-11111-1-11-1-1-1-1-1-1-11111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-111111111-1-1-111111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1111-111-1-111-1-111-1
χ172222222222-2-222-2-2-20000-2222200222200-2-2-2-200000000000000-2000000000000
χ182222222222-2-222-2-2-20000-2222200-2-2-2-20022-2-2000000000000002000000000000
χ192222222222-2-222-2-2-20000-2-2-2-2-20022-2-200-2-222000000000000002000000000000
χ202222222222-2-222-2-2-20000-2-2-2-2-200-2-22200222200000000000000-2000000000000
χ2122222222-2-222-2-222-22222-20000220000-2-2000022-2-200000000000-200000000000
χ2222222222-2-222-2-222-22222-20000-2-20000-2-20000-2-22200000000000200000000000
χ2322222222-2-222-2-222-2-2-2-2-2-20000220000220000-2-22200000000000-200000000000
χ2422222222-2-222-2-222-2-2-2-2-2-20000-2-2000022000022-2-200000000000200000000000
χ2522-2-2-222-2002-2002-202i2i−2i−2i0i2i2−i2−i22i−2i00000000i2−i22-20022−2−2i2i2−i2−i2000000002−200000
χ2622-2-2-222-2002-2002-202i2i−2i−2i0i2i2−i2−i2−2i2i00000000i2−i2-220022−2−2−i2−i2i2i200000000−2200000
χ2722-2-2-222-2002-2002-202i2i−2i−2i0−i2−i2i2i22i−2i00000000−i2i22-200−2−222−i2−i2i2i200000000−2200000
χ2822-2-2-222-2002-2002-202i2i−2i−2i0−i2−i2i2i2−2i2i00000000−i2i2-2200−2−222i2i2−i2−i2000000002−200000
χ2922-2-2-222-2002-2002-20−2i−2i2i2i0i2i2−i2−i22i−2i00000000i2−i2-2200−2−222−i2−i2i2i2000000002−200000
χ3022-2-2-222-2002-2002-20−2i−2i2i2i0i2i2−i2−i2−2i2i00000000i2−i22-200−2−222i2i2−i2−i200000000−2200000
χ3122-2-2-222-2002-2002-20−2i−2i2i2i0−i2−i2i2i22i−2i00000000−i2i2-220022−2−2i2i2−i2−i200000000−2200000
χ3222-2-2-222-2002-2002-20−2i−2i2i2i0−i2−i2i2i2−2i2i00000000−i2i22-20022−2−2−i2−i2i2i2000000002−200000
χ332-222-22-2-222-2-2-2-222-22i−2i2i−2i200000000002i−2i000000000000000000002i−2i00002-2000
χ342-222-22-2-222-2-2-2-222-22i−2i2i−2i200000000002i−2i00000000000000000000−2i2i0000-22000
χ352-222-22-2-222-2-2-2-222-2−2i2i−2i2i20000000000−2i2i000000000000000000002i−2i0000-22000
χ362-222-22-2-222-2-2-2-222-2−2i2i−2i2i20000000000−2i2i00000000000000000000−2i2i00002-2000
χ372-222-22-2-2-2-22222-2-2-2000020000002i−2i00002i−2i0000002-22-200000000002i−2i0000000
χ382-222-22-2-2-2-22222-2-2-2000020000002i−2i00002i−2i000000-22-220000000000−2i2i0000000
χ392-222-22-2-2-2-22222-2-2-200002000000−2i2i0000−2i2i0000002-22-20000000000−2i2i0000000
χ402-222-22-2-2-2-22222-2-2-200002000000−2i2i0000−2i2i000000-22-2200000000002i−2i0000000
χ412-222-22-2-2-2-2-2-2222222i−2i2i−2i-20000002i−2i00−2i2i−2i2i000000000000002-20000000000000
χ422-222-22-2-2-2-2-2-2222222i−2i2i−2i-2000000−2i2i00−2i2i2i−2i00000000000000-220000000000000
χ432-222-22-2-2-2-2-2-222222−2i2i−2i2i-20000002i−2i002i−2i−2i2i00000000000000-220000000000000
χ442-222-22-2-2-2-2-2-222222−2i2i−2i2i-2000000−2i2i002i−2i2i−2i000000000000002-20000000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-4-444-4004-400000000000000004i−4i000000000000000000000000000000000
χ47444-4-4-4-444-4004-40000000000000000−4i4i000000000000000000000000000000000
χ48444-4-4-4-44-4400-440000000000000000000000000000000000000000000000002i2−2i20
χ49444-4-4-4-44-4400-44000000000000000000000000000000000000000000000000−2i22i20
χ5044-4-4-444-400-4400-440000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ5144-4-4-444-400-4400-44000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ524-444-44-4-44444-4-4-4-440000-40000000000000000000000000000000000000000000
χ534-44-44-44-44-400-44000000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ544-44-44-44-44-400-4400000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ554-44-44-44-4-44004-4000000004i−4i4i−4i000000000000000000000000000000000000000
χ564-44-44-44-4-44004-400000000−4i4i−4i4i000000000000000000000000000000000000000
χ574-4-44-4-4440000000000000022−22−22220000000000000022−2200002-2-22000000000000000
χ584-4-44-4-4440000000000000022−22−222200000000000000−22220000-222-2000000000000000
χ594-4-44-4-44400000000000000−222222−220000000000000022−220000-222-2000000000000000
χ604-4-44-4-44400000000000000−222222−2200000000000000−222200002-2-22000000000000000
χ614-4-4-444-44004-400-440000000000000000000000000022−22−22220000000000000000000
χ624-4-4-444-44004-400-4400000000000000000000000000−222222−220000000000000000000
χ634-4-4-444-4400-44004-404-4-4400000000000000000000000000000000000000000000
χ644-4-4-444-4400-44004-40-444-400000000000000000000000000000000000000000000
χ6588-888-8-8-8000000000000000000000000000000000000000000000000000000000

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