Finite Group Databasebeta

← Group #102340

Character table — Group #102340

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444161616161616161632323232
order12222222444444444444444488888888888888882244448888888888888888888888888888888888888888888888884444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
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
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11-11
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-11-1
χ91111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i11-1-1
χ101111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−iii−i−iii-1-111
χ111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1ii−i−iii−i−i-1-111
χ121111111111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iii−i−iii11-1-1
χ131111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111ii−i−i−i−iii1-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111−i−iiiii−i−i-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111ii−i−i−i−iii-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111−i−iiiii−i−i1-1-11
χ17222222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000000000000-2-2-2-22222000000000000
χ18222222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-2000000000000000000000000000000002222-2-2-2-2000000000000
χ192222222222-2-22222222222-2-22222222222222222-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000
χ202222222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022222222000000000000
χ2122222222-2-2222222-2-2-2-2-2-2220000000000000000-2-222-2-200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000
χ2222222222-2-2222222-2-2-2-2-2-2220000000000000000-2-222-2-20000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000
χ2322222222-2-222-2-2-2-22222-2-2220000000000000000-2-2-2-2222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ2422222222-2-222-2-2-2-22222-2-2220000000000000000-2-2-2-222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ2522222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ2622222222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ2722222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ2822222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002222-2-20000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000
χ29222-2-2-2-222-2002i2i−2i−2i2i2i−2i−2i2-2002222-2-2-2-22i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i1−i−1+i1+i−1−i0000
χ30222-2-2-2-222-2002i2i−2i−2i2i2i−2i−2i2-2002222-2-2-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i0000
χ31222-2-2-2-222-2002i2i−2i−2i2i2i−2i−2i2-200-2-2-2-22222−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i0000
χ32222-2-2-2-222-2002i2i−2i−2i2i2i−2i−2i2-200-2-2-2-22222−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i0000
χ33222-2-2-2-222-200−2i−2i2i2i−2i−2i2i2i2-2002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i0000
χ34222-2-2-2-222-200−2i−2i2i2i−2i−2i2i2i2-2002222-2-2-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i−1−i1+i−1+i1−i0000
χ35222-2-2-2-222-200−2i−2i2i2i−2i−2i2i2i2-200-2-2-2-222222i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i0000
χ36222-2-2-2-222-200−2i−2i2i2i−2i−2i2i2i2-200-2-2-2-222222i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i0000
χ3722-2-22-22-2002i−2i00002i−2i2i−2i002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200002-200002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i22−2−2i2i2−i2−i2000000000000
χ3822-2-22-22-2002i−2i00002i−2i2i−2i002i−2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i200002-20000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i22−2−2i2i2−i2−i2000000000000
χ3922-2-22-22-2002i−2i00002i−2i2i−2i002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200002-200002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−2−222−i2−i2i2i2000000000000
χ4022-2-22-22-2002i−2i00002i−2i2i−2i002i−2i−2−222−2−222−i2−i2i2i2−i2−i2i2i200002-20000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−2−222−i2−i2i2i2000000000000
χ4122-2-22-22-2002i−2i0000−2i2i−2i2i002i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-222ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ00001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−2−222i2i2−i2−i2000000000000
χ4222-2-22-22-2002i−2i0000−2i2i−2i2i002i−2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i20000-22−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ0000−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−2−222i2i2−i2−i2000000000000
χ4322-2-22-22-2002i−2i0000−2i2i−2i2i002i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-222ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ0000−1+i−1+i1−i1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i1+i1+i−1−i−1−i22−2−2−i2−i2i2i2000000000000
χ4422-2-22-22-2002i−2i0000−2i2i−2i2i002i−2i−2−222−2−222i2i2−i2−i2i2i2−i2−i20000-22−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ00001−i1−i−1+i−1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i−1−i−1−i1+i1+i22−2−2−i2−i2i2i2000000000000
χ4522-2-22-22-200−2i2i00002i−2i2i−2i00−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-222ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ30000−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−2−222−i2−i2i2i2000000000000
χ4622-2-22-22-200−2i2i00002i−2i2i−2i00−2i2i22−2−222−2−2i2i2−i2−i2i2i2−i2−i20000-22−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ300001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−2−222−i2−i2i2i2000000000000
χ4722-2-22-22-200−2i2i00002i−2i2i−2i00−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-222ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ300001+i1+i−1−i−1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i−1+i−1+i1−i1−i22−2−2i2i2−i2−i2000000000000
χ4822-2-22-22-200−2i2i00002i−2i2i−2i00−2i2i−2−222−2−222−i2−i2i2i2−i2−i2i2i20000-22−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ30000−1−i−1−i1+i1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i1−i1−i−1+i−1+i22−2−2i2i2−i2−i2000000000000
χ4922-2-22-22-200−2i2i0000−2i2i−2i2i00−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200002-200002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ3−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i22−2−2−i2−i2i2i2000000000000
χ5022-2-22-22-200−2i2i0000−2i2i−2i2i00−2i2i22−2−222−2−2−i2−i2i2i2−i2−i2i2i200002-20000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ31+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i22−2−2−i2−i2i2i2000000000000
χ5122-2-22-22-200−2i2i0000−2i2i−2i2i00−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200002-200002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ31+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−2−222i2i2−i2−i2000000000000
χ5222-2-22-22-200−2i2i0000−2i2i−2i2i00−2i2i−2−222−2−222i2i2−i2−i2i2i2−i2−i200002-20000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ3−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−2−222i2i2−i2−i2000000000000
χ532-22-2-222-2002i−2i2i−2i2i−2i000000−2i2i2−22−22−22−2i2−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+i00002ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ32−22−2i2−i2i2−i2000000000000
χ542-22-2-222-2002i−2i2i−2i2i−2i000000−2i2i2−22−22−22−2i2−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−i0000−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ32−22−2i2−i2i2−i2000000000000
χ552-22-2-222-2002i−2i2i−2i2i−2i000000−2i2i−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+i0000−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ3−22−22−i2i2−i2i2000000000000
χ562-22-2-222-2002i−2i2i−2i2i−2i000000−2i2i−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−i00002ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ3−22−22−i2i2−i2i2000000000000
χ572-22-2-222-2002i−2i−2i2i−2i2i000000−2i2i2−22−22−22−2−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−i2ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ30000−22−22i2−i2i2−i2000000000000
χ582-22-2-222-2002i−2i−2i2i−2i2i000000−2i2i2−22−22−22−2−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−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ30000−22−22i2−i2i2−i2000000000000
χ592-22-2-222-2002i−2i−2i2i−2i2i000000−2i2i−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−i−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ300002−22−2−i2i2−i2i2000000000000
χ602-22-2-222-2002i−2i−2i2i−2i2i000000−2i2i−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+i2ζ−2ζ2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ300002−22−2−i2i2−i2i2000000000000
χ612-22-2-222-200−2i2i2i−2i2i−2i0000002i−2i2−22−22−22−2i2−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−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ0000−22−22−i2i2−i2i2000000000000
χ622-22-2-222-200−2i2i2i−2i2i−2i0000002i−2i2−22−22−22−2i2−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−i2ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ0000−22−22−i2i2−i2i2000000000000
χ632-22-2-222-200−2i2i2i−2i2i−2i0000002i−2i−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+i2ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ00002−22−2i2−i2i2−i2000000000000
χ642-22-2-222-200−2i2i2i−2i2i−2i0000002i−2i−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−i−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ00002−22−2i2−i2i2−i2000000000000
χ652-22-2-222-200−2i2i−2i2i−2i2i0000002i−2i2−22−22−22−2−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−i0000−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ2−22−2−i2i2−i2i2000000000000
χ662-22-2-222-200−2i2i−2i2i−2i2i0000002i−2i2−22−22−22−2−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+i00002ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ2−22−2−i2i2−i2i2000000000000
χ672-22-2-222-200−2i2i−2i2i−2i2i0000002i−2i−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−i00002ζ3−2ζ32ζ3−2ζ300002ζ−2ζ2ζ−2ζ−22−22i2−i2i2−i2000000000000
χ682-22-2-222-200−2i2i−2i2i−2i2i0000002i−2i−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+i0000−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−2ζ2ζ−22−22i2−i2i2−i2000000000000
χ692-2-22-2-2222-22200000000-22-2-2000000002-2-222-2-222-20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22-2-220000000000000000
χ702-2-22-2-2222-22200000000-22-2-2000000002-2-222-2-222-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22-2-220000000000000000
χ712-2-22-2-2222-22200000000-22-2-200000000-222-2-222-22-20000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2-222-20000000000000000
χ722-2-22-2-2222-22200000000-22-2-200000000-222-2-222-22-20000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2-222-20000000000000000
χ732-2-22-2-2222-2-2-200000000-2222000000002-2-222-2-22-2200002−2−222−2−22−222−2−222−22−2−222−2−22−222−2−222−2-222-20000000000000000
χ742-2-22-2-2222-2-2-200000000-2222000000002-2-222-2-22-220000−222−2−222−22−2−222−2−22−222−2−222−22−2−222−2−22-222-20000000000000000
χ752-2-22-2-2222-2-2-200000000-222200000000-222-2-222-2-2200002−2−222−2−22−222−2−222−2−222−2−222−22−2−222−2−222-2-220000000000000000
χ762-2-22-2-2222-2-2-200000000-222200000000-222-2-222-2-220000−222−2−222−22−2−222−2−222−2−222−2−22−222−2−222−22-2-220000000000000000
χ772-2-22-2-222-2222000000002-2-2-22-2-222-2-2200000000-220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i200002-2-22000000000000
χ782-2-22-2-222-2222000000002-2-2-22-2-222-2-2200000000-220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i200002-2-22000000000000
χ792-2-22-2-222-2222000000002-2-2-2-222-2-222-200000000-220000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i20000-222-2000000000000
χ802-2-22-2-222-2222000000002-2-2-2-222-2-222-200000000-220000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i20000-222-2000000000000
χ812-2-22-2-222-22-2-2000000002-2222-2-222-2-22000000002-200002−2−22−222−2−222−22−2−22−222−22−2−222−2−22−222−20000-222-2000000000000
χ822-2-22-2-222-22-2-2000000002-2222-2-222-2-22000000002-20000−222−22−2−222−2−22−222−22−2−22−222−2−222−22−2−220000-222-2000000000000
χ832-2-22-2-222-22-2-2000000002-222-222-2-222-2000000002-200002−2−22−222−2−222−22−2−222−2−22−222−2−222−22−2−2200002-2-22000000000000
χ842-2-22-2-222-22-2-2000000002-222-222-2-222-2000000002-20000−222−22−2−222−2−22−222−2−222−22−2−222−2−22−222−200002-2-22000000000000
χ85444-4-4-4-44-44004i4i−4i−4i−4i−4i4i4i-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ86444-4-4-4-44-4400−4i−4i4i4i4i4i−4i−4i-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ8744-44-44-4-4000000004-4-4400002222−22−22−22−2222222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ8844-44-44-4-4000000004-4-440000−22−2222222222−22−22−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ8944-44-44-4-400000000-444-400002222−22−22−22−222222−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ9044-44-44-4-400000000-444-40000−22−2222222222−22−222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ914-4444-4-4-400004-4-440000000022−2222−22−2222−222222−2222−22−2222−22220000000000000000000000000000000000000000000000000000000000
χ924-4444-4-4-400004-4-4400000000−2222−222222−2222−22−2222−222222−2222−220000000000000000000000000000000000000000000000000000000000
χ934-4444-4-4-40000-444-40000000022−2222−22−2222−2222−2222−222222−2222−220000000000000000000000000000000000000000000000000000000000
χ944-4444-4-4-40000-444-400000000−2222−222222−2222−2222−2222−22−2222−22220000000000000000000000000000000000000000000000000000000000
χ954-4-4-444-44440000000000-4-400000000004i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ964-4-4-444-44440000000000-4-40000000000−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ974-4-4-444-44-4-4000000000044004-4-44-444-4000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4-444-44-4-400000000004400-444-44-4-44000000000000000000000000000000000000000000000000000000000000000000

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