Finite Group Databasebeta

← Group #308498

Character table — Group #308498

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1-1-1-1-111111111111111-1-1-1-11-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111111111-1-1111111-1-1-1-1-1-1-1-111-1111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1-1-1-1-111-1-1111
χ51111111111111111111111-1-1-1-1111111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111
χ81111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11111111-1-1-1
χ91111111111111111-1-1-1-111111111-1-1111111-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111111111-1
χ111111111111111111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-11-1-111-1-111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1111111-1-11-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-11111-1-111-1-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11111-11-1-1-1-11111-1
χ172222222222-2-2-222-20000-2-22222000022-2-2-2-200-2-20000000000000002000000000
χ182222222222-2-2-222-20000-2-222220000-2-2222200-2-2000000000000000-2000000000
χ192222222222-2-2-222-20000-2-2-2-2-2-200002222-2-20022000000000000000-2000000000
χ202222222222-2-2-222-20000-2-2-2-2-2-20000-2-2-2-22200220000000000000002000000000
χ2122222222-2-2222-2-222222-2-2000022-2-200000022000000-2-200000000-20000000000
χ2222222222-2-2222-2-222222-2-20000-2-2-2-2000000-2-2000000220000000020000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-200002222000000-2-20000002200000000-20000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-20000-2-22200000022000000-2-20000000020000000000
χ2522-222-2-2-20022-200-222-2-20022−2−22-2000000002-22−222−2−20022−2−200000000002−2000
χ2622-222-2-2-20022-200-222-2-20022−2−2-2200000000-222−222−2−200−2−2220000000000−22000
χ2722-222-2-2-20022-200-222-2-200−2−2222-2000000002-2−22−2−22200−2−2220000000000−22000
χ2822-222-2-2-20022-200-222-2-200−2−222-2200000000-22−22−2−2220022−2−200000000002−2000
χ2922-222-2-2-20022-200-2-2-2220022−2−22-200000000-222−2−2−22200−2−22200000000002−2000
χ3022-222-2-2-20022-200-2-2-2220022−2−2-22000000002-22−2−2−2220022−2−20000000000−22000
χ3122-222-2-2-20022-200-2-2-22200−2−2222-200000000-22−2222−2−20022−2−20000000000−22000
χ3222-222-2-2-20022-200-2-2-22200−2−222-22000000002-2−2222−2−200−2−22200000000002−2000
χ332-22-222-2-2222-22-2-2-22-22-22-20000002-2000000000000000000002-20000002-200000
χ342-22-222-2-2222-22-2-2-22-22-22-20000002-200000000000000000000-22000000-2200000
χ352-22-222-2-2222-22-2-2-2-22-222-2000000-22000000000000000000002-2000000-2200000
χ362-22-222-2-2222-22-2-2-2-22-222-2000000-2200000000000000000000-220000002-200000
χ372-22-222-2-2-2-22-2222-22-22-2-22000000-222i−2i002i−2i00000000000000002i−2i00000000000
χ382-22-222-2-2-2-22-2222-22-22-2-22000000-22−2i2i00−2i2i0000000000000000−2i2i00000000000
χ392-22-222-2-2-2-22-2222-2-22-22-220000002-22i−2i002i−2i0000000000000000−2i2i00000000000
χ402-22-222-2-2-2-22-2222-2-22-22-220000002-2−2i2i00−2i2i00000000000000002i−2i00000000000
χ412-22-222-2-2-2-2-22-222200002-2000000002i−2i00−2i2i00002-22-20000000000002i−2i0000000
χ422-22-222-2-2-2-2-22-222200002-2000000002i−2i00−2i2i0000-22-22000000000000−2i2i0000000
χ432-22-222-2-2-2-2-22-222200002-200000000−2i2i002i−2i00002-22-2000000000000−2i2i0000000
χ442-22-222-2-2-2-2-22-222200002-200000000−2i2i002i−2i0000-22-220000000000002i−2i0000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-44-40004-40000000000000000000000000000000000000000000000022−220
χ47444-4-4-44-44-40004-400000000000000000000000000000000000000000000000−22220
χ48444-4-4-44-4-44000-44000000000000000004-40000000000000000000000000000000
χ49444-4-4-44-4-44000-4400000000000000000-440000000000000000000000000000000
χ5044-444-4-4-400-4-440040000002222−22−22000000000000−22220000000000000000000000000
χ5144-444-4-4-400-4-44004000000−22−22222200000000000022−220000000000000000000000000
χ524-444-4-4-444-4000-4400000004i−4i4i−4i000000000000000000000000000000000000000
χ534-444-4-4-444-4000-440000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-444-4-4-44-440004-400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ554-444-4-4-44-440004-40000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ564-44-444-4-444-44-4-4-440000-440000000000000000000000000000000000000000000
χ574-4-44-444-4000000000000002i2−2i2−2i22i200000000000000000022−222i−2i−2i2i000000000000000
χ584-4-44-444-4000000000000002i2−2i2−2i22i2000000000000000000−2222−2i2i2i−2i000000000000000
χ594-4-44-444-400000000000000−2i22i22i2−2i200000000000000000022−22−2i2i2i−2i000000000000000
χ604-4-44-444-400000000000000−2i22i22i2−2i2000000000000000000−22222i−2i−2i2i000000000000000
χ614-4-4-44-444004-4-40044-4-44000000000000000000000000000000000000000000000
χ624-4-4-44-444004-4-4004-444-4000000000000000000000000000000000000000000000
χ634-4-4-44-44400-44400-400000000000000000000000022−22−2222000000000000000000000
χ644-4-4-44-44400-44400-4000000000000000000000000−222222−22000000000000000000000
χ6588-8-8-88-88000000000000000000000000000000000000000000000000000000000

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