Finite Group Databasebeta

← Group #315014

Character table — Group #315014

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size111111112222222222222222222222224444444444444444448888888888888888888888888888888832323232
order12222222444444448888888888888888448888888888888888224444444444444488888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11111-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1111111111-11-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111
χ111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11-1-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-111-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111111-1-11
χ17222222222-2-22-2-2220000000022222222-2-20000-2-2-2-200000000002222000000-2-2-2-200000000000000000000
χ18222222222-2-22-2-2220000000022222222-2-20000-2-2-2-20000000000-2-2-2-2000000222200000000000000000000
χ19222222222-2-22-2-22200000000-2-2-2-2-2-2-2-2-2-200002222000000000022-2-2000000-2-22200000000000000000000
χ20222222222-2-22-2-22200000000-2-2-2-2-2-2-2-2-2-2000022220000000000-2-22200000022-2-200000000000000000000
χ2122222222-222-222-2-22222222200000000-2-2-2-2-2-2000000000000220000-2-222-2-2000000000000000000000000
χ2222222222-222-222-2-22222222200000000-2-2-2-2-2-2000000000000-2-2000022-2-222000000000000000000000000
χ2322222222-222-222-2-2-2-2-2-2-2-2-2-200000000-2-22222000000000000220000-2-2-2-222000000000000000000000000
χ2422222222-222-222-2-2-2-2-2-2-2-2-2-200000000-2-22222000000000000-2-200002222-2-2000000000000000000000000
χ25222-2-22-2-22-2-2-2222-22i2i2i2i−2i−2i−2i−2i00000000-222i2i−2i−2i000000000000000000000000000022-2-2000000002i2i−2i−2i0000
χ26222-2-22-2-22-2-2-2222-22i2i2i2i−2i−2i−2i−2i00000000-222i2i−2i−2i0000000000000000000000000000-2-22200000000−2i−2i2i2i0000
χ27222-2-22-2-22-2-2-2222-2−2i−2i−2i−2i2i2i2i2i00000000-22−2i−2i2i2i000000000000000000000000000022-2-200000000−2i−2i2i2i0000
χ28222-2-22-2-22-2-2-2222-2−2i−2i−2i−2i2i2i2i2i00000000-22−2i−2i2i2i0000000000000000000000000000-2-222000000002i2i−2i−2i0000
χ29222-2-22-2-2-2222-2-2-22000000002222-2-2-2-2-22000022-2-200000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000
χ30222-2-22-2-2-2222-2-2-22000000002222-2-2-2-2-22000022-2-20000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ31222-2-22-2-2-2222-2-2-2200000000-2-2-2-22222-220000-2-22200000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ32222-2-22-2-2-2222-2-2-2200000000-2-2-2-22222-220000-2-2220000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ33222-2-22-2-2-2-2-2222-222i2i2i2i−2i−2i−2i−2i2222-2-2-2-22-2−2i−2i2i2i-2-2222i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ34222-2-22-2-2-2-2-2222-222i2i2i2i−2i−2i−2i−2i-2-2-2-222222-2−2i−2i2i2i22-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ35222-2-22-2-2-2-2-2222-22−2i−2i−2i−2i2i2i2i2i2222-2-2-2-22-22i2i−2i−2i-2-222−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ36222-2-22-2-2-2-2-2222-22−2i−2i−2i−2i2i2i2i2i-2-2-2-222222-22i2i−2i−2i22-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ3722-22-2-22-202-202-20022-2-222-2-2i2i2−i2−i2i2i2−i2−i2000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i20000002i−2i002i−2i00002−22−2000000002−22−20000
χ3822-22-2-22-202-202-20022-2-222-2-2i2i2−i2−i2i2i2−i2−i2000000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2000000−2i2i00−2i2i0000−22−2200000000−22−220000
χ3922-22-2-22-202-202-20022-2-222-2-2−i2−i2i2i2−i2−i2i2i2000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i20000002i−2i002i−2i0000−22−2200000000−22−220000
χ4022-22-2-22-202-202-20022-2-222-2-2−i2−i2i2i2−i2−i2i2i2000000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2000000−2i2i00−2i2i00002−22−2000000002−22−20000
χ4122-22-2-22-202-202-200-2-222-2-222i2i2−i2−i2i2i2−i2−i2000000i2−i2i2−i2−i2−i2i2i2−i2−i2i2i20000002i−2i00−2i2i0000−22−22000000002−22−20000
χ4222-22-2-22-202-202-200-2-222-2-222i2i2−i2−i2i2i2−i2−i2000000i2−i2i2−i2−i2−i2i2i2−i2−i2i2i2000000−2i2i002i−2i00002−22−200000000−22−220000
χ4322-22-2-22-202-202-200-2-222-2-222−i2−i2i2i2−i2−i2i2i2000000−i2i2−i2i2i2i2−i2−i2i2i2−i2−i20000002i−2i00−2i2i00002−22−200000000−22−220000
χ4422-22-2-22-202-202-200-2-222-2-222−i2−i2i2i2−i2−i2i2i2000000−i2i2−i2i2i2i2−i2−i2i2i2−i2−i2000000−2i2i002i−2i0000−22−22000000002−22−20000
χ4522-2-22-2-220-2202-2002i2i−2i−2i−2i−2i2i2ii2i2−i2−i2−i2−i2i2i2000000−i2i2i2−i2−2−22222−2−22-20000002i−2i0000002−2−2200000000i2−i2−i2i20000
χ4622-2-22-2-220-2202-2002i2i−2i−2i−2i−2i2i2ii2i2−i2−i2−i2−i2i2i2000000−i2i2i2−i2−2−22222−2−2-22000000−2i2i000000−222−200000000−i2i2i2−i20000
χ4722-2-22-2-220-2202-2002i2i−2i−2i−2i−2i2i2i−i2−i2i2i2i2i2−i2−i2000000i2−i2−i2i222−2−2−2−2222-20000002i−2i000000−222−200000000−i2i2i2−i20000
χ4822-2-22-2-220-2202-2002i2i−2i−2i−2i−2i2i2i−i2−i2i2i2i2i2−i2−i2000000i2−i2−i2i222−2−2−2−222-22000000−2i2i0000002−2−2200000000i2−i2−i2i20000
χ4922-2-22-2-220-2202-200−2i−2i2i2i2i2i−2i−2ii2i2−i2−i2−i2−i2i2i2000000−i2i2i2−i222−2−2−2−2222-2000000−2i2i000000−222−200000000i2−i2−i2i20000
χ5022-2-22-2-220-2202-200−2i−2i2i2i2i2i−2i−2ii2i2−i2−i2−i2−i2i2i2000000−i2i2i2−i222−2−2−2−222-220000002i−2i0000002−2−2200000000−i2i2i2−i20000
χ5122-2-22-2-220-2202-200−2i−2i2i2i2i2i−2i−2i−i2−i2i2i2i2i2−i2−i2000000i2−i2−i2i2−2−22222−2−22-2000000−2i2i0000002−2−2200000000−i2i2i2−i20000
χ5222-2-22-2-220-2202-200−2i−2i2i2i2i2i−2i−2i−i2−i2i2i2i2i2−i2−i2000000i2−i2−i2i2−2−22222−2−2-220000002i−2i000000−222−200000000i2−i2−i2i20000
χ532-2-2222-2-2200-200-22i2−i2i2−i2i2−i2i2−i22-22-22-22-200i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i2002-22-200000000000000i2−i2i2−i2i2−i2i2−i200000000
χ542-2-2222-2-2200-200-22i2−i2i2−i2i2−i2i2−i22-22-22-22-200i2−i2i2−i20000i2−i2i2−i2i2−i2i2−i200-22-2200000000000000−i2i2−i2i2−i2i2−i2i200000000
χ552-2-2222-2-2200-200-22i2−i2i2−i2i2−i2i2−i2-22-22-22-2200i2−i2i2−i20000−i2i2−i2i2−i2i2−i2i2002-2-2200000000000000i2−i2i2−i2−i2i2−i2i200000000
χ562-2-2222-2-2200-200-22i2−i2i2−i2i2−i2i2−i2-22-22-22-2200i2−i2i2−i20000−i2i2−i2i2−i2i2−i2i200-222-200000000000000−i2i2−i2i2i2−i2i2−i200000000
χ572-2-2222-2-2200-200-22−i2i2−i2i2−i2i2−i2i22-22-22-22-200−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i2002-22-200000000000000−i2i2−i2i2−i2i2−i2i200000000
χ582-2-2222-2-2200-200-22−i2i2−i2i2−i2i2−i2i22-22-22-22-200−i2i2−i2i20000−i2i2−i2i2−i2i2−i2i200-22-2200000000000000i2−i2i2−i2i2−i2i2−i200000000
χ592-2-2222-2-2200-200-22−i2i2−i2i2−i2i2−i2i2-22-22-22-2200−i2i2−i2i20000i2−i2i2−i2i2−i2i2−i2002-2-2200000000000000−i2i2−i2i2i2−i2i2−i200000000
χ602-2-2222-2-2200-200-22−i2i2−i2i2−i2i2−i2i2-22-22-22-2200−i2i2−i2i20000i2−i2i2−i2i2−i2i2−i200-222-200000000000000i2−i2i2−i2−i2i2−i2i200000000
χ612-2-2-2-2222-200-200222−22−2−22−222-22-2-22-2200−222−200002−22−2−22−220000000000002-22-200002−2−222−2−2200000000
χ622-2-2-2-2222-200-200222−22−2−22−222-22-2-22-2200−222−200002−22−2−22−22000000000000-22-220000−222−2−222−200000000
χ632-2-2-2-2222-200-200222−22−2−22−22-22-222-22-200−222−20000−22−222−22−20000000000002-2-2200002−2−22−222−200000000
χ642-2-2-2-2222-200-200222−22−2−22−22-22-222-22-200−222−20000−22−222−22−2000000000000-222-20000−222−22−2−2200000000
χ652-2-2-2-2222-200-20022−22−222−22−22-22-2-22-22002−2−220000−22−222−22−20000000000002-22-20000−222−2−222−200000000
χ662-2-2-2-2222-200-20022−22−222−22−22-22-2-22-22002−2−220000−22−222−22−2000000000000-22-2200002−2−222−2−2200000000
χ672-2-2-2-2222-200-20022−22−222−22−2-22-222-22-2002−2−2200002−22−2−22−220000000000002-2-220000−222−22−2−2200000000
χ682-2-2-2-2222-200-20022−22−222−22−2-22-222-22-2002−2−2200002−22−2−22−22000000000000-222-200002−2−22−222−200000000
χ6944444444-4-4-4-4-4-4-4-40000000000000000440000000000000000000000000000000000000000000000000000
χ70444-4-44-4-4444-4-4-44-400000000000000004-40000000000000000000000000000000000000000000000000000
χ7144-44-4-44-40-440-4400000000002i22i2−2i2−2i22i22i2−2i2−2i2000000−2i22i2−2i22i200000000000000000000000000000000000000000000
χ7244-44-4-44-40-440-440000000000−2i2−2i22i22i2−2i2−2i22i22i20000002i2−2i22i2−2i200000000000000000000000000000000000000000000
χ7344-4-44-4-4404-40-4400000000002i22i2−2i2−2i2−2i2−2i22i22i20000002i2−2i2−2i22i200000000000000000000000000000000000000000000
χ7444-4-44-4-4404-40-440000000000−2i2−2i22i22i22i22i2−2i2−2i2000000−2i22i22i2−2i200000000000000000000000000000000000000000000
χ754-444-4-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i20000000000-222-2-222-2000000000000000000000000000000000000
χ764-444-4-4-44000000002i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i200000000002-2-222-2-22000000000000000000000000000000000000
χ774-444-4-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i200000000002-2-222-2-22000000000000000000000000000000000000
χ784-444-4-4-4400000000−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i2−2i22i22i2−2i20000000000-222-2-222-2000000000000000000000000000000000000
χ794-44-44-44-40000000022−22−2222−222222−222i2−2i2−2i22i2−2i22i22i2−2i200000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ804-44-44-44-40000000022−22−2222−222222−22−2i22i22i2−2i22i2−2i2−2i22i20000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ814-44-44-44-400000000−222222−2222−22−22222i2−2i2−2i22i2−2i22i22i2−2i20000000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000000000000000
χ824-44-44-44-400000000−222222−2222−22−2222−2i22i22i2−2i22i2−2i2−2i22i200000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000000000000000
χ834-4-4444-4-4-4004004-42i2−2i22i2−2i22i2−2i22i2−2i20000000000−2i22i2−2i22i2000000000000000000000000000000000000000000000000
χ844-4-4444-4-4-4004004-4−2i22i2−2i22i2−2i22i2−2i22i200000000002i2−2i22i2−2i2000000000000000000000000000000000000000000000000
χ854-4-4-4-4444400400-4-422−2222−22−2222−2222000000000022−22−2222000000000000000000000000000000000000000000000000
χ864-4-4-4-4444400400-4-4−2222−222222−2222−220000000000−222222−22000000000000000000000000000000000000000000000000

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