Finite Group Databasebeta

← Group #325985

Character table — Group #325985

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order12222222444444448888888888888888448888888888888888224444444444444488888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-11111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111111111-1-111
χ91111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11
χ101111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111111111-111-1
χ111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1
χ121111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-111111-1-11
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-11-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11-11-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-11-11
χ17222222222-22-22-22-22222222200000000-2-20000-2-2-2-20000000022220000-2-200-2-20000000000000000000000
χ18222222222-22-22-22-22222222200000000-2-20000-2-2-2-200000000-2-2-2-200002200220000000000000000000000
χ19222222222-22-22-22-2-2-2-2-2-2-2-2-200000000-2-2000022220000000022-2-200002200-2-20000000000000000000000
χ20222222222-22-22-22-2-2-2-2-2-2-2-2-200000000-2-20000222200000000-2-2220000-2-200220000000000000000000000
χ2122222222-22-22-22-220000000022222222-2-2-2-2-2-2000000000000000022-2-200-2-2002200000000000000000000
χ2222222222-22-22-22-220000000022222222-2-2-2-2-2-20000000000000000-2-222002200-2-200000000000000000000
χ2322222222-22-22-22-2200000000-2-2-2-2-2-2-2-2-2-222220000000000000000222200-2-200-2-200000000000000000000
χ2422222222-22-22-22-2200000000-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2-20022002200000000000000000000
χ252222-2-2-2-22020-20-202222-2-2-2-22222−2−2−2−20022−2−200002222−2−2−2−22-22-200000000000022−2−2000022−2−200000000
χ262222-2-2-2-22020-20-202222-2-2-2-22222−2−2−2−20022−2−200002222−2−2−2−2-22-22000000000000−2−2220000−2−22200000000
χ272222-2-2-2-22020-20-202222-2-2-2-2−2−2−2−2222200−2−2220000−2−2−2−222222-22-2000000000000−2−2220000−2−22200000000
χ282222-2-2-2-22020-20-202222-2-2-2-2−2−2−2−2222200−2−2220000−2−2−2−22222-22-2200000000000022−2−2000022−2−200000000
χ292222-2-2-2-22020-20-20-2-2-2-222222222−2−2−2−20022−2−20000−2−2−2−222222-2-22000000000000−2−222000022−2−200000000
χ302222-2-2-2-22020-20-20-2-2-2-222222222−2−2−2−20022−2−20000−2−2−2−22222-222-200000000000022−2−20000−2−22200000000
χ312222-2-2-2-22020-20-20-2-2-2-22222−2−2−2−2222200−2−22200002222−2−2−2−22-2-2200000000000022−2−20000−2−22200000000
χ322222-2-2-2-22020-20-20-2-2-2-22222−2−2−2−2222200−2−22200002222−2−2−2−2-222-2000000000000−2−222000022−2−200000000
χ3322-2-22-2-22020-20-202i2i2−i2−i2i2i2−i2−i222-2-222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200002-2000000002-20000i2i2−i2−i20000i2i2−i2−i20000
χ3422-2-22-2-22020-20-202i2i2−i2−i2i2i2−i2−i222-2-222-2-2000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000-2200000000-220000−i2−i2i2i20000−i2−i2i2i20000
χ3522-2-22-2-22020-20-202i2i2−i2−i2i2i2−i2−i2-2-222-2-222000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i200002-200000000-220000i2i2−i2−i20000−i2−i2i2i20000
χ3622-2-22-2-22020-20-202i2i2−i2−i2i2i2−i2−i2-2-222-2-222000000i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000-22000000002-20000−i2−i2i2i20000i2i2−i2−i20000
χ3722-2-22-2-22020-20-202−i2−i2i2i2−i2−i2i2i222-2-222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200002-2000000002-20000−i2−i2i2i20000−i2−i2i2i20000
χ3822-2-22-2-22020-20-202−i2−i2i2i2−i2−i2i2i222-2-222-2-2000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000-2200000000-220000i2i2−i2−i20000i2i2−i2−i20000
χ3922-2-22-2-22020-20-202−i2−i2i2i2−i2−i2i2i2-2-222-2-222000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i200002-200000000-220000−i2−i2i2i20000i2i2−i2−i20000
χ4022-2-22-2-22020-20-202−i2−i2i2i2−i2−i2i2i2-2-222-2-222000000−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000-22000000002-20000i2i2−i2−i20000−i2−i2i2i20000
χ412-22-22-22-220-20-20202i−2i2i−2i2i−2i2i−2ii2−i2i2−i2i2−i2i2−i200i2−i2i2−i200002−22−22−22−2000000002-2002i−2i00i2−i2i2−i200002−22−200000000
χ422-22-22-22-220-20-20202i−2i2i−2i2i−2i2i−2ii2−i2i2−i2i2−i2i2−i200i2−i2i2−i200002−22−22−22−200000000-2200−2i2i00−i2i2−i2i20000−22−2200000000
χ432-22-22-22-220-20-20202i−2i2i−2i2i−2i2i−2i−i2i2−i2i2−i2i2−i2i200−i2i2−i2i20000−22−22−22−22000000002-2002i−2i00−i2i2−i2i20000−22−2200000000
χ442-22-22-22-220-20-20202i−2i2i−2i2i−2i2i−2i−i2i2−i2i2−i2i2−i2i200−i2i2−i2i20000−22−22−22−2200000000-2200−2i2i00i2−i2i2−i200002−22−200000000
χ452-22-22-22-220-20-2020−2i2i−2i2i−2i2i−2i2ii2−i2i2−i2i2−i2i2−i200i2−i2i2−i20000−22−22−22−22000000002-200−2i2i00i2−i2i2−i20000−22−2200000000
χ462-22-22-22-220-20-2020−2i2i−2i2i−2i2i−2i2ii2−i2i2−i2i2−i2i2−i200i2−i2i2−i20000−22−22−22−2200000000-22002i−2i00−i2i2−i2i200002−22−200000000
χ472-22-22-22-220-20-2020−2i2i−2i2i−2i2i−2i2i−i2i2−i2i2−i2i2−i2i200−i2i2−i2i200002−22−22−22−2000000002-200−2i2i00−i2i2−i2i200002−22−200000000
χ482-22-22-22-220-20-2020−2i2i−2i2i−2i2i−2i2i−i2i2−i2i2−i2i2−i2i200−i2i2−i2i200002−22−22−22−200000000-22002i−2i00i2−i2i2−i20000−22−2200000000
χ492-22-2-22-2222-2-222-2-22i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i-222i−2i−2i2i2i−2i2i−2i2-22-2-22-22000000000000000000000000000000000000
χ502-22-2-22-2222-2-222-2-22i−2i2i−2i−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i-22−2i2i2i−2i2i−2i2i−2i-22-222-22-2000000000000000000000000000000000000
χ512-22-2-22-2222-2-222-2-2−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i−2i2i−2i2i-222i−2i−2i2i−2i2i−2i2i-22-222-22-2000000000000000000000000000000000000
χ522-22-2-22-2222-2-222-2-2−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i-22−2i2i2i−2i−2i2i−2i2i2-22-2-22-22000000000000000000000000000000000000
χ532-22-2-22-222-2-222-2-222i−2i2i−2i−2i2i−2i2i000000002-20000−2i2i−2i2i0000000000000000000000002i−2i−2i2i00002-2-2200000000
χ542-22-2-22-222-2-222-2-222i−2i2i−2i−2i2i−2i2i000000002-20000−2i2i−2i2i000000000000000000000000−2i2i2i−2i0000-222-200000000
χ552-22-2-22-222-2-222-2-22−2i2i−2i2i2i−2i2i−2i000000002-200002i−2i2i−2i0000000000000000000000002i−2i−2i2i0000-222-200000000
χ562-22-2-22-222-2-222-2-22−2i2i−2i2i2i−2i2i−2i000000002-200002i−2i2i−2i000000000000000000000000−2i2i2i−2i00002-2-2200000000
χ572-22-2-22-22-222-2-222-2000000002i−2i2i−2i−2i2i−2i2i2-2−2i2i2i−2i000000000000000000000000000000002i−2i2i−2i00002-22-20000
χ582-22-2-22-22-222-2-222-2000000002i−2i2i−2i−2i2i−2i2i2-2−2i2i2i−2i00000000000000000000000000000000−2i2i−2i2i0000-22-220000
χ592-22-2-22-22-222-2-222-200000000−2i2i−2i2i2i−2i2i−2i2-22i−2i−2i2i000000000000000000000000000000002i−2i2i−2i0000-22-220000
χ602-22-2-22-22-222-2-222-200000000−2i2i−2i2i2i−2i2i−2i2-22i−2i−2i2i00000000000000000000000000000000−2i2i−2i2i00002-22-20000
χ612-2-22-2-22202020-20-22−2−22−222−22i−2i−2i2i−2i2i2i−2i0000002−2−22−i2i2i2−i2i2−i2−i2i20000002i−2i002-2000000002−2−220000−i2i2i2−i20000
χ622-2-22-2-22202020-20-22−2−22−222−22i−2i−2i2i−2i2i2i−2i0000002−2−22−i2i2i2−i2i2−i2−i2i2000000−2i2i00-2200000000−222−20000i2−i2−i2i20000
χ632-2-22-2-22202020-20-22−2−22−222−2−2i2i2i−2i2i−2i−2i2i0000002−2−22i2−i2−i2i2−i2i2i2−i20000002i−2i00-2200000000−222−20000−i2i2i2−i20000
χ642-2-22-2-22202020-20-22−2−22−222−2−2i2i2i−2i2i−2i−2i2i0000002−2−22i2−i2−i2i2−i2i2i2−i2000000−2i2i002-2000000002−2−220000i2−i2−i2i20000
χ652-2-22-2-22202020-20-2−222−22−2−222i−2i−2i2i−2i2i2i−2i000000−222−2i2−i2−i2i2−i2i2i2−i20000002i−2i002-200000000−222−20000i2−i2−i2i20000
χ662-2-22-2-22202020-20-2−222−22−2−222i−2i−2i2i−2i2i2i−2i000000−222−2i2−i2−i2i2−i2i2i2−i2000000−2i2i00-22000000002−2−220000−i2i2i2−i20000
χ672-2-22-2-22202020-20-2−222−22−2−22−2i2i2i−2i2i−2i−2i2i000000−222−2−i2i2i2−i2i2−i2−i2i20000002i−2i00-22000000002−2−220000i2−i2−i2i20000
χ682-2-22-2-22202020-20-2−222−22−2−22−2i2i2i−2i2i−2i−2i2i000000−222−2−i2i2i2−i2i2−i2−i2i2000000−2i2i002-200000000−222−20000−i2i2i2−i20000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
χ704444-4-4-4-4-40-4040400000000022222222−22−22−22−2200−22−222222000000000000000000000000000000000000000000000000
χ714444-4-4-4-4-40-40404000000000−22−22−22−2222222222002222−22−22000000000000000000000000000000000000000000000000
χ7244-4-44-4-440-404040-42i22i2−2i2−2i22i22i2−2i2−2i200000000000000−2i2−2i22i22i200000000000000000000000000000000000000000000
χ7344-4-44-4-440-404040-4−2i2−2i22i22i2−2i2−2i22i22i2000000000000002i22i2−2i2−2i200000000000000000000000000000000000000000000
χ7444-4-4-444-4000000002i22i2−2i2−2i2−2i2−2i22i22i22222−22−22−22−22222200000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ7544-4-4-444-4000000002i22i2−2i2−2i2−2i2−2i22i22i2−22−2222222222−22−220000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ7644-4-4-444-400000000−2i2−2i22i22i22i22i2−2i2−2i22222−22−22−22−2222220000000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000
χ7744-4-4-444-400000000−2i2−2i22i22i22i22i2−2i2−2i2−22−2222222222−22−2200000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000
χ784-44-44-44-4-404040-40000000002i2−2i22i2−2i22i2−2i22i2−2i200−2i22i2−2i22i2000000000000000000000000000000000000000000000000
χ794-44-44-44-4-404040-4000000000−2i22i2−2i22i2−2i22i2−2i22i2002i2−2i22i2−2i2000000000000000000000000000000000000000000000000
χ804-44-4-44-44-4-444-4-4440000000000000000-440000000000000000000000000000000000000000000000000000
χ814-4-4444-4-40000000022−22−222222−22−22222i2−2i2−2i22i22i2−2i2−2i22i20000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ824-4-4444-4-40000000022−22−222222−22−2222−2i22i22i2−2i2−2i22i22i2−2i200000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
χ834-4-4444-4-400000000−222222−22−222222−222i2−2i2−2i22i22i2−2i2−2i22i200000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000000000000000
χ844-4-4444-4-400000000−222222−22−222222−22−2i22i22i2−2i2−2i22i22i2−2i20000000000−2i2i2i−2i−2i2i2i−2i000000000000000000000000000000000000
χ854-4-44-4-4440-40-4040422−22−2222−222222−2200000000000000−222222−2200000000000000000000000000000000000000000000
χ864-4-44-4-4440-40-40404−222222−2222−22−22220000000000000022−22−222200000000000000000000000000000000000000000000

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