Finite Group Databasebeta

← Group #102302

Character table — Group #102302

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222222244444444444488888888888888884444444444444444444444888888888888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-1
χ6111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11-11
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111-11-1
χ911111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i11-1-1
χ1011111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1iiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-1-111
χ1111111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-1-111
χ1211111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii11-1-1
χ1311111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii1-1-11
χ1411111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i-111-1
χ1511111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii-111-1
χ1611111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i1-1-11
χ172222222222222222-2-22222-2-22222222222222222-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000000000000000000000000
χ182222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000222222220000000000000000000000000000
χ19222222222222-2-2-2-222-2-2-2-222000000000000000022-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222222-2-2-2-222-2-2-2-222000000000000000022-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ21222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-222220000000000000000000000002i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000
χ22222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-22222000000000000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000
χ2322222222-2-2-2-222-2-22222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000-2-2-2-222220000000000000000000000000000
χ2422222222-2-2-2-222-2-22222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22200000000000000002222-2-2-2-20000000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-222220000000000000000-2-222-2-20000000000000000000000002222-2-2-2-2-2-2-2-22222000000000000
χ2622222222-2-2-2-2-2-22222-2-222220000000000000000-2-222-2-2000000000000000000000000-2-2-2-222222222-2-2-2-2000000000000
χ2722222222-2-2-2-2-2-222-2-2-2-222-2-2000000000000000022-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ2822222222-2-2-2-2-2-222-2-2-2-222-2-2000000000000000022-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ29222-22-2-2-222-2-22-222002-2-2-2002222-2-2-2-22222-2-2-2-200000000000000000000000000000000000000000000002−22−22−22−20000
χ30222-22-2-2-222-2-22-222002-2-2-2002222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000−22−22−22−220000
χ31222-22-2-2-222-2-22-222002-2-2-200-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000002−22−2−22−220000
χ32222-22-2-2-222-2-22-222002-2-2-200-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000000000−22−222−22−20000
χ33222-22-2-2-2-2-2222-2-2-2002-222002222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000i2−i2−i2i2i2−i2−i2i20000
χ34222-22-2-2-2-2-2222-2-2-2002-222002222-2-2-2-2-2-2-2-222220000000000000000000000000000000000000000000000−i2i2i2−i2−i2i2i2−i20000
χ35222-22-2-2-2-2-2222-2-2-2002-22200-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000i2−i2−i2i2−i2i2i2−i20000
χ36222-22-2-2-2-2-2222-2-2-2002-22200-2-2-2-222222222-2-2-2-20000000000000000000000000000000000000000000000−i2i2i2−i2i2−i2−i2i20000
χ3722-22-22-2-22-22-20000220000-2-222−2−222−2−222−2−222−2−22-20000000022-2-2000022-2-222−2−222−2−222−2−222−2−222−2−222−2−2000000000000
χ3822-22-22-2-22-22-20000220000-2-222−2−222−2−222−2−222−2−22-200000000-2-2220000-2-22222−2−222−2−2−2−222−2−222−2−222−2−222000000000000
χ3922-22-22-2-22-22-20000220000-2-2−2−222−2−222−2−222−2−2222-20000000022-2-2000022-2-2−2−222−2−222−2−222−2−222−2−222−2−222000000000000
χ4022-22-22-2-22-22-20000220000-2-2−2−222−2−222−2−222−2−2222-200000000-2-2220000-2-222−2−222−2−22222−2−222−2−222−2−222−2−2000000000000
χ4122-22-22-2-22-22-20000-2-200002222−2−222−2−222−2−222−2−2-2200002i2i−2i−2i00002i2i−2i−2i0000−2−222−2−222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ4222-22-22-2-22-22-20000-2-200002222−2−222−2−222−2−222−2−2-220000−2i−2i2i2i0000−2i−2i2i2i0000−2−222−2−222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ4322-22-22-2-22-22-20000-2-2000022−2−222−2−222−2−222−2−222-2200002i2i−2i−2i00002i2i−2i−2i000022−2−222−2−2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ4422-22-22-2-22-22-20000-2-2000022−2−222−2−222−2−222−2−222-220000−2i−2i2i2i0000−2i−2i2i2i000022−2−222−2−2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ4522-22-22-2-2-22-220000220000-2-222−2−222−2−2−2−222−2−222-22000022-2-20000-2-2220000−2−22222−2−222−2−2−2−222−2−22222−2−2000000000000
χ4622-22-22-2-2-22-220000220000-2-222−2−222−2−2−2−222−2−222-220000-2-222000022-2-20000−2−22222−2−2−2−22222−2−222−2−2−2−222000000000000
χ4722-22-22-2-2-22-220000220000-2-2−2−222−2−22222−2−222−2−2-22000022-2-20000-2-222000022−2−2−2−222−2−22222−2−222−2−2−2−222000000000000
χ4822-22-22-2-2-22-220000220000-2-2−2−222−2−22222−2−222−2−2-220000-2-222000022-2-2000022−2−2−2−22222−2−2−2−222−2−22222−2−2000000000000
χ4922-22-22-2-2-22-220000-2-200002222−2−222−2−2−2−222−2−2222-2000000002i2i−2i−2i0000−2i−2i2i2i22−2−2−2−222i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ5022-22-22-2-2-22-220000-2-200002222−2−222−2−2−2−222−2−2222-200000000−2i−2i2i2i00002i2i−2i−2i22−2−2−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ5122-22-22-2-2-22-220000-2-2000022−2−222−2−22222−2−222−2−22-2000000002i2i−2i−2i0000−2i−2i2i2i−2−22222−2−2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ5222-22-22-2-2-22-220000-2-2000022−2−222−2−22222−2−222−2−22-200000000−2i−2i2i2i00002i2i−2i−2i−2−22222−2−2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ532-222-2-2-220000002i−2i2i−2i002i−2i2i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2002-2001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i2−22−2i2−i2i2−i200002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000000000
χ542-222-2-2-220000002i−2i2i−2i002i−2i2i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i2002-200−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i2−22−2i2−i2i2−i20000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000000000000000
χ552-222-2-2-220000002i−2i2i−2i002i−2i2i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2002-2001+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i−22−22−i2i2−i2i20000−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000000000000000
χ562-222-2-2-220000002i−2i2i−2i002i−2i2i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i2002-200−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−22−22−i2i2−i2i200002ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000000000
χ572-222-2-2-220000002i−2i−2i2i002i−2i−2i2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i200-22001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−22−22−i2i2−i2i22ζ3−2ζ32ζ3−2ζ3000000002ζ−2ζ2ζ−2ζ000000000000
χ582-222-2-2-220000002i−2i−2i2i002i−2i−2i2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i200-2200−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i−22−22−i2i2−i2i2−2ζ32ζ3−2ζ32ζ300000000−2ζ2ζ−2ζ2ζ000000000000
χ592-222-2-2-220000002i−2i−2i2i002i−2i−2i2i−22−22−22−22−i2i2−i2i2−i2i2−i2i200-22001−i−1+i1−i−1+i−1+i1−i−1+i1−i1+i−1−i1+i−1−i−1−i1+i−1−i1+i2−22−2i2−i2i2−i2−2ζ32ζ3−2ζ32ζ300000000−2ζ2ζ−2ζ2ζ000000000000
χ602-222-2-2-220000002i−2i−2i2i002i−2i−2i2i−22−22−22−22−i2i2−i2i2−i2i2−i2i200-2200−1+i1−i−1+i1−i1−i−1+i1−i−1+i−1−i1+i−1−i1+i1+i−1−i1+i−1−i2−22−2i2−i2i2−i22ζ3−2ζ32ζ3−2ζ3000000002ζ−2ζ2ζ−2ζ000000000000
χ612-222-2-2-22000000−2i2i2i−2i00−2i2i2i−2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i200-22001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−22−22i2−i2i2−i2−2ζ2ζ−2ζ2ζ00000000−2ζ32ζ3−2ζ32ζ3000000000000
χ622-222-2-2-22000000−2i2i2i−2i00−2i2i2i−2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i200-2200−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i−22−22i2−i2i2−i22ζ−2ζ2ζ−2ζ000000002ζ3−2ζ32ζ3−2ζ3000000000000
χ632-222-2-2-22000000−2i2i2i−2i00−2i2i2i−2i−22−22−22−22i2−i2i2−i2i2−i2i2−i200-22001+i−1−i1+i−1−i−1−i1+i−1−i1+i1−i−1+i1−i−1+i−1+i1−i−1+i1−i2−22−2−i2i2−i2i22ζ−2ζ2ζ−2ζ000000002ζ3−2ζ32ζ3−2ζ3000000000000
χ642-222-2-2-22000000−2i2i2i−2i00−2i2i2i−2i−22−22−22−22i2−i2i2−i2i2−i2i2−i200-2200−1−i1+i−1−i1+i1+i−1−i1+i−1−i−1+i1−i−1+i1−i1−i−1+i1−i−1+i2−22−2−i2i2−i2i2−2ζ2ζ−2ζ2ζ00000000−2ζ32ζ3−2ζ32ζ3000000000000
χ652-222-2-2-22000000−2i2i−2i2i00−2i2i−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2002-2001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i2−22−2−i2i2−i2i20000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000000000000000
χ662-222-2-2-22000000−2i2i−2i2i00−2i2i−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i2002-200−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i2−22−2−i2i2−i2i200002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000000000
χ672-222-2-2-22000000−2i2i−2i2i00−2i2i−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2002-2001−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i−22−22i2−i2i2−i200002ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000000000
χ682-222-2-2-22000000−2i2i−2i2i00−2i2i−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i2002-200−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−22−22i2−i2i2−i20000−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000000000000000
χ692-2-222-22-200002-2002i−2i-2200−2i2i000000002i−2i−2i2i2i−2i−2i2i00002i−2i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i2-2-220000−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i000000000000
χ702-2-222-22-200002-2002i−2i-2200−2i2i000000002i−2i−2i2i2i−2i−2i2i00002i−2i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i2-2-2200001+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i000000000000
χ712-2-222-22-200002-2002i−2i-2200−2i2i00000000−2i2i2i−2i−2i2i2i−2i00002i−2i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i-222-200001+i−1−i−1−i1+i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i000000000000
χ722-2-222-22-200002-2002i−2i-2200−2i2i00000000−2i2i2i−2i−2i2i2i−2i00002i−2i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i1−i−1+i-222-20000−1−i1+i1+i−1−i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i−1+i1−i000000000000
χ732-2-222-22-200002-200−2i2i-22002i−2i000000002i−2i−2i2i2i−2i−2i2i0000−2i2i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i-222-200001−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i000000000000
χ742-2-222-22-200002-200−2i2i-22002i−2i000000002i−2i−2i2i2i−2i−2i2i0000−2i2i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i-222-20000−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i000000000000
χ752-2-222-22-200002-200−2i2i-22002i−2i00000000−2i2i2i−2i−2i2i2i−2i0000−2i2i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i2-2-220000−1+i1−i1−i−1+i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i−1−i1+i000000000000
χ762-2-222-22-200002-200−2i2i-22002i−2i00000000−2i2i2i−2i−2i2i2i−2i0000−2i2i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i2-2-2200001−i−1+i−1+i1−i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i1+i−1−i000000000000
χ772-2-222-22-20000-22002i−2i2-200−2i2i2-2-222-2-22000000000000−2i2i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i00002i−2i−2i2i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i000000000000
χ782-2-222-22-20000-22002i−2i2-200−2i2i2-2-222-2-22000000000000−2i2i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i00002i−2i−2i2i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i000000000000
χ792-2-222-22-20000-22002i−2i2-200−2i2i-222-2-222-2000000000000−2i2i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i0000−2i2i2i−2i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i000000000000
χ802-2-222-22-20000-22002i−2i2-200−2i2i-222-2-222-2000000000000−2i2i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i0000−2i2i2i−2i−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i000000000000
χ812-2-222-22-20000-2200−2i2i2-2002i−2i2-2-222-2-220000000000002i−2i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i0000−2i2i2i−2i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i000000000000
χ822-2-222-22-20000-2200−2i2i2-2002i−2i2-2-222-2-220000000000002i−2i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i0000−2i2i2i−2i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i000000000000
χ832-2-222-22-20000-2200−2i2i2-2002i−2i-222-2-222-20000000000002i−2i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i00002i−2i−2i2i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i000000000000
χ842-2-222-22-20000-2200−2i2i2-2002i−2i-222-2-222-20000000000002i−2i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i00002i−2i−2i2i−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i000000000000
χ85444-44-4-4-444-4-4-44-4-400-44440000000000000000000000000000000000000000000000000000000000000000000000000000
χ86444-44-4-4-4-4-444-444400-44-4-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-4-4-4-4444-4-440000000000002222−22−22−22−2222222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ8844-4-4-4-4444-4-44000000000000−22−2222222222−22−22−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ8944-4-4-4-444-444-40000000000002222−22−22−22−222222−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ9044-4-4-4-444-444-4000000000000−22−2222222222−22−222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ914-44-4-444-40000004i−4i0000−4i4i0022−2222−22−2222−22222i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ924-44-4-444-40000004i−4i0000−4i4i00−2222−222222−2222−22−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ934-44-4-444-4000000−4i4i00004i−4i0022−2222−22−2222−2222−2i22i2−2i22i22i2−2i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ944-44-4-444-4000000−4i4i00004i−4i00−2222−222222−2222−222i2−2i22i2−2i2−2i22i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ954-4-4-444-440000440000-4-40000000000004i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ964-4-4-444-440000440000-4-4000000000000−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ974-4-4-444-440000-4-400004400004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4-444-440000-4-40000440000-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.