Finite Group Databasebeta

← Group #351534

Character table — Group #351534

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86
size11111111222222224444444444444444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444442244444444444444444444444488888888888888888888888888888888888888882444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1111111-1-1
χ91111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ101111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ111111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ121111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-11-11
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-11-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ1722222222222-2-2-2-222222-2-200000000-2-2-2-2000000002222-2-2-2-22222-2-2-2-20000000000000000000000000000
χ1822222222222-2-2-2-222222-2-200000000-2-2-2-200000000-2-2-2-22222-2-2-2-222220000000000000000000000000000
χ1922222222222-2-2-2-22-2-2-2-22200000000-2-222000000002222-2-2-2-2-2-2-2-222220000000000000000000000000000
χ2022222222222-2-2-2-22-2-2-2-22200000000-2-22200000000-2-2-2-222222222-2-2-2-20000000000000000000000000000
χ2122222222-2-2-22222-222-2-2222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000
χ2222222222-2-2-22222-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2222200000000000000000000000000000000000000000000
χ2322222222-2-2-22222-2-2-222-2-22222-2-2-2-2-2-222-2-2-2-2222200000000000000000000000000000000000000000000
χ2422222222-2-2-22222-2-2-222-2-2-2-2-2-22222-2-2222222-2-2-2-200000000000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-222-2-2-2-20000000022220000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000
χ2622222222-2-2-2-2-2-2-2-222-2-2-2-2000000002222000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222220000000022-2-20000000000000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222220000000022-2-2000000000000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000
χ29222-2-22-2-200022-2-20002i−2i0000002i2i−2i−2i002i−2i22-2-20000i2i2−i2−i2i2i2−i2−i222−2−222−2−222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ30222-2-22-2-200022-2-20002i−2i0000002i2i−2i−2i002i−2i22-2-20000−i2−i2i2i2−i2−i2i2i2−2−222−2−222−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ31222-2-22-2-200022-2-20002i−2i000000−2i−2i2i2i002i−2i-2-2220000i2i2−i2−i2i2i2−i2−i222−2−222−2−2−2−222−2−222−i2−i2i2i2−i2−i2i2i2000000000000
χ32222-2-22-2-200022-2-20002i−2i000000−2i−2i2i2i002i−2i-2-2220000−i2−i2i2i2−i2−i2i2i2−2−222−2−22222−2−222−2−2i2i2−i2−i2i2i2−i2−i2000000000000
χ33222-2-22-2-200022-2-2000−2i2i0000002i2i−2i−2i00−2i2i-2-2220000i2i2−i2−i2i2i2−i2−i2−2−222−2−22222−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ34222-2-22-2-200022-2-2000−2i2i0000002i2i−2i−2i00−2i2i-2-2220000−i2−i2i2i2−i2−i2i2i222−2−222−2−2−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ35222-2-22-2-200022-2-2000−2i2i000000−2i−2i2i2i00−2i2i22-2-20000i2i2−i2−i2i2i2−i2−i2−2−222−2−222−2−222−2−222i2i2−i2−i2i2i2−i2−i2000000000000
χ36222-2-22-2-200022-2-2000−2i2i000000−2i−2i2i2i00−2i2i22-2-20000−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−2−i2−i2i2i2−i2−i2i2i2000000000000
χ37222-2-22-2-2000-2-2220002i−2i0022-2-2000000−2i2i00002i2i−2i−2ii2i2−i2−i2−i2−i2i2i222−2−2−2−222i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000
χ38222-2-22-2-2000-2-2220002i−2i0022-2-2000000−2i2i00002i2i−2i−2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000
χ39222-2-22-2-2000-2-2220002i−2i00-2-222000000−2i2i0000−2i−2i2i2ii2i2−i2−i2−i2−i2i2i222−2−2−2−222−i2−i2i2i2i2i2−i2−i2−2−22222−2−2000000000000
χ40222-2-22-2-2000-2-2220002i−2i00-2-222000000−2i2i0000−2i−2i2i2i−i2−i2i2i2i2i2−i2−i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i222−2−2−2−222000000000000
χ41222-2-22-2-2000-2-222000−2i2i0022-2-20000002i−2i0000−2i−2i2i2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000
χ42222-2-22-2-2000-2-222000−2i2i0022-2-20000002i−2i0000−2i−2i2i2i−i2−i2i2i2i2i2−i2−i222−2−2−2−222−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000
χ43222-2-22-2-2000-2-222000−2i2i00-2-2220000002i−2i00002i2i−2i−2ii2i2−i2−i2−i2−i2i2i2−2−22222−2−2−i2−i2i2i2i2i2−i2−i222−2−2−2−222000000000000
χ44222-2-22-2-2000-2-222000−2i2i00-2-2220000002i−2i00002i2i−2i−2i−i2−i2i2i2i2i2−i2−i222−2−2−2−222i2i2−i2−i2−i2−i2i2i2−2−22222−2−2000000000000
χ4522-22-2-22-20002-22-202-2002-200002-22-2000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ4622-22-2-22-20002-22-202-2002-200002-22-2000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ4722-22-2-22-20002-22-202-2002-20000-22-2200000000-22-22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ4822-22-2-22-20002-22-202-2002-20000-22-2200000000-22-22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ4922-22-2-22-20002-22-20-2200-2200002-22-200000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ5022-22-2-22-20002-22-20-2200-2200002-22-200000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ5122-22-2-22-20002-22-20-2200-220000-22-22000000002-22-2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ5222-22-2-22-20002-22-20-2200-220000-22-22000000002-22-2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ5322-22-2-22-2000-22-2202-200-222i−2i2i−2i000000002i−2i2i−2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22−22−2−22−222−22−2−22−22000000000000
χ5422-22-2-22-2000-22-2202-200-222i−2i2i−2i000000002i−2i2i−2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−22−222−22−2−22−222−22−2000000000000
χ5522-22-2-22-2000-22-2202-200-22−2i2i−2i2i00000000−2i2i−2i2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−22−222−22−2−22−222−22−2000000000000
χ5622-22-2-22-2000-22-2202-200-22−2i2i−2i2i00000000−2i2i−2i2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22−22−2−22−222−22−2−22−22000000000000
χ5722-22-2-22-2000-22-220-22002-22i−2i2i−2i00000000−2i2i−2i2i0000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i22−22−2−22−22−22−222−22−2000000000000
χ5822-22-2-22-2000-22-220-22002-22i−2i2i−2i00000000−2i2i−2i2i0000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−22−222−22−22−22−2−22−22000000000000
χ5922-22-2-22-2000-22-220-22002-2−2i2i−2i2i000000002i−2i2i−2i0000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−22−222−22−22−22−2−22−22000000000000
χ6022-22-2-22-2000-22-220-22002-2−2i2i−2i2i000000002i−2i2i−2i0000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22−22−2−22−22−22−222−22−2000000000000
χ6122-2-22-2-222-2-22-2-2220000002i−2i−2i2i−2i2i2i−2i2-20000000000000000002i−2i−2i2i2i−2i−2i2i000000002-2-222-2-22000000000000
χ6222-2-22-2-222-2-22-2-2220000002i−2i−2i2i−2i2i2i−2i2-2000000000000000000−2i2i2i−2i−2i2i2i−2i00000000-222-2-222-2000000000000
χ6322-2-22-2-222-2-22-2-222000000−2i2i2i−2i2i−2i−2i2i2-20000000000000000002i−2i−2i2i2i−2i−2i2i00000000-222-2-222-2000000000000
χ6422-2-22-2-222-2-22-2-222000000−2i2i2i−2i2i−2i−2i2i2-2000000000000000000−2i2i2i−2i−2i2i2i−2i000000002-2-222-2-22000000000000
χ6522-2-22-2-222-2-2-222-2200000000000000-22002i−2i−2i2i−2i2i2i−2i000000002i−2i−2i2i−2i2i2i−2i2-2-22-222-200000000000000000000
χ6622-2-22-2-222-2-2-222-2200000000000000-22002i−2i−2i2i−2i2i2i−2i00000000−2i2i2i−2i2i−2i−2i2i-222-22-2-2200000000000000000000
χ6722-2-22-2-222-2-2-222-2200000000000000-2200−2i2i2i−2i2i−2i−2i2i000000002i−2i−2i2i−2i2i2i−2i-222-22-2-2200000000000000000000
χ6822-2-22-2-222-2-2-222-2200000000000000-2200−2i2i2i−2i2i−2i−2i2i00000000−2i2i2i−2i2i−2i−2i2i2-2-22-222-200000000000000000000
χ6922-2-22-2-22-2222-2-22-20000002i−2i−2i2i2i−2i−2i2i-2200000000002-2-222-2-2200000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ7022-2-22-2-22-2222-2-22-20000002i−2i−2i2i2i−2i−2i2i-220000000000-222-2-222-2000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ7122-2-22-2-22-2222-2-22-2000000−2i2i2i−2i−2i2i2i−2i-2200000000002-2-222-2-22000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ7222-2-22-2-22-2222-2-22-2000000−2i2i2i−2i−2i2i2i−2i-220000000000-222-2-222-200000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ7322-2-22-2-22-222-222-2-2000000000000002-2002i−2i−2i2i2i−2i−2i2i2-2-22-222-20000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ7422-2-22-2-22-222-222-2-2000000000000002-2002i−2i−2i2i2i−2i−2i2i-222-22-2-2200000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ7522-2-22-2-22-222-222-2-2000000000000002-200−2i2i2i−2i−2i2i2i−2i2-2-22-222-200000000000000002i−2i−2i2i−2i2i2i−2i000000000000
χ7622-2-22-2-22-222-222-2-2000000000000002-200−2i2i2i−2i−2i2i2i−2i-222-22-2-220000000000000000−2i2i2i−2i2i−2i−2i2i000000000000
χ774-4444-4-4-444-40000-4000000000000000000000000000000000000000000000000000000000022−220000000000
χ784-4444-4-4-444-40000-40000000000000000000000000000000000000000000000000000000000−22220000000000
χ794-4444-4-4-4-4-44000040000000000000000000000000000000000000000000000000000000000002i2−2i200000000
χ804-4444-4-4-4-4-4400004000000000000000000000000000000000000000000000000000000000000−2i22i200000000
χ814-4-4-4444-44-440000-400000000000000000000000000000000000000000000000000000000000000002i2−2i20000
χ824-4-4-4444-44-440000-40000000000000000000000000000000000000000000000000000000000000000−2i22i20000
χ834-4-4-4444-4-44-4000040000000000000000000000000000000000000000000000000000000000000022−22000000
χ844-4-4-4444-4-44-40000400000000000000000000000000000000000000000000000000000000000000−2222000000
χ858-88-8-8-888000000000000000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-88-88000000000000000000000000000000000000000000000000000000000000000000000000000000

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