Finite Group Databasebeta

← Group #102338

Character table — Group #102338

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
χ91111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−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
χ101111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111iiiiiiii−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
χ111111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111−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
χ121111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111−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
χ131111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−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
χ141111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111iiiiiiii−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
χ151111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111−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
χ161111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111−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
χ1722222222222222222222-2-2-2-22222222222222222-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000
χ1822222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022222222000000000000
χ192222222222-2-2-2-2-2-2-2-222222222222222-2-2-2-2-2-2-2-222-2-2-2-200000000000000000000000000000000-2-2-2-22222000000000000
χ202222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-22222222222-2-2-2-2000000000000000000000000000000002222-2-2-2-2000000000000
χ2122222222-2-22222-2-2-2-2-2-222220000000000000000-2-2-2-22200000000000000002222-2-2-2-22222-2-2-2-200000000000000000000
χ2222222222-2-22222-2-2-2-2-2-222220000000000000000-2-2-2-2220000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000
χ2322222222-2-22222-2-2-2-2-2-2-2-2-2-200000000000000002222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000
χ2422222222-2-22222-2-2-2-2-2-2-2-2-2-200000000000000002222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000
χ2522222222-2-2-2-2-2-22222-2-222220000000000000000-2-222-2-22222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ2622222222-2-2-2-2-2-22222-2-222220000000000000000-2-222-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2722222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-22200000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000
χ2822222222-2-2-2-2-2-22222-2-2-2-2-2-2000000000000000022-2-2220000000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000
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χ3022-2-22-22-2002i2i−2i−2i0000002i2i−2i−2ii2i2i2i2−i2−i2−i2−i22222−2−2−2−200002-2−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i0000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζi2i2−i2−i222−2−2000000000000
χ3122-2-22-22-2002i2i−2i−2i0000002i2i−2i−2i−i2−i2−i2−i2i2i2i2i2−2−2−2−2222200002-21+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i0000−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ−i2−i2i2i2−2−222000000000000
χ3222-2-22-22-2002i2i−2i−2i0000002i2i−2i−2i−i2−i2−i2−i2i2i2i2i2−2−2−2−2222200002-2−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00002ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ−i2−i2i2i2−2−222000000000000
χ3322-2-22-22-2002i2i−2i−2i000000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i22222−2−2−2−20000-221−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i2ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ30000−i2−i2i2i2−2−222000000000000
χ3422-2-22-22-2002i2i−2i−2i000000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i22222−2−2−2−20000-22−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ30000−i2−i2i2i2−2−222000000000000
χ3522-2-22-22-2002i2i−2i−2i000000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2−2−2−2−222220000-221−i1−i−1+i−1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1+i1+i−1−i−1−i−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ30000i2i2−i2−i222−2−2000000000000
χ3622-2-22-22-2002i2i−2i−2i000000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i2−2−2−2−222220000-22−1+i−1+i1−i1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1−i−1−i1+i1+i2ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ30000i2i2−i2−i222−2−2000000000000
χ3722-2-22-22-200−2i−2i2i2i0000002i2i−2i−2ii2i2i2i2−i2−i2−i2−i2−2−2−2−222220000-221+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i2ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ0000−i2−i2i2i222−2−2000000000000
χ3822-2-22-22-200−2i−2i2i2i0000002i2i−2i−2ii2i2i2i2−i2−i2−i2−i2−2−2−2−222220000-22−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ0000−i2−i2i2i222−2−2000000000000
χ3922-2-22-22-200−2i−2i2i2i0000002i2i−2i−2i−i2−i2−i2−i2i2i2i2i22222−2−2−2−20000-221+i1+i−1−i−1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1−i1−i−1+i−1+i−2ζ3−2ζ32ζ32ζ30000−2ζ−2ζ2ζ2ζ0000i2i2−i2−i2−2−222000000000000
χ4022-2-22-22-200−2i−2i2i2i0000002i2i−2i−2i−i2−i2−i2−i2i2i2i2i22222−2−2−2−20000-22−1−i−1−i1+i1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1+i−1+i1−i1−i2ζ32ζ3−2ζ3−2ζ300002ζ2ζ−2ζ−2ζ0000i2i2−i2−i2−2−222000000000000
χ4122-2-22-22-200−2i−2i2i2i000000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2−2−2−2−2222200002-21−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i00002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ3i2i2−i2−i2−2−222000000000000
χ4222-2-22-22-200−2i−2i2i2i000000−2i−2i2i2ii2i2i2i2−i2−i2−i2−i2−2−2−2−2222200002-2−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ3i2i2−i2−i2−2−222000000000000
χ4322-2-22-22-200−2i−2i2i2i000000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i22222−2−2−2−200002-21−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000−2ζ−2ζ2ζ2ζ0000−2ζ3−2ζ32ζ32ζ3−i2−i2i2i222−2−2000000000000
χ4422-2-22-22-200−2i−2i2i2i000000−2i−2i2i2i−i2−i2−i2−i2i2i2i2i22222−2−2−2−200002-2−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i00002ζ2ζ−2ζ−2ζ00002ζ32ζ3−2ζ3−2ζ3−i2−i2i2i222−2−2000000000000
χ4522-2-2-22-222-22i−2i2i−2i2i2i−2i−2i2-200002i2i−2i−2i2i2i−2i−2i22-2-222-2-200000000000000000000000000000000000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i0000
χ4622-2-2-22-222-22i−2i2i−2i2i2i−2i−2i2-200002i2i−2i−2i2i2i−2i−2i22-2-222-2-20000000000000000000000000000000000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i0000
χ4722-2-2-22-222-22i−2i2i−2i2i2i−2i−2i2-20000−2i−2i2i2i−2i−2i2i2i-2-222-2-22200000000000000000000000000000000000000000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i0000
χ4822-2-2-22-222-22i−2i2i−2i2i2i−2i−2i2-20000−2i−2i2i2i−2i−2i2i2i-2-222-2-2220000000000000000000000000000000000000000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i0000
χ4922-2-2-22-222-2−2i2i−2i2i−2i−2i2i2i2-200002i2i−2i−2i2i2i−2i−2i-2-222-2-22200000000000000000000000000000000000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i0000
χ5022-2-2-22-222-2−2i2i−2i2i−2i−2i2i2i2-200002i2i−2i−2i2i2i−2i−2i-2-222-2-2220000000000000000000000000000000000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i0000
χ5122-2-2-22-222-2−2i2i−2i2i−2i−2i2i2i2-20000−2i−2i2i2i−2i−2i2i2i22-2-222-2-200000000000000000000000000000000000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i0000
χ5222-2-2-22-222-2−2i2i−2i2i−2i−2i2i2i2-20000−2i−2i2i2i−2i−2i2i2i22-2-222-2-20000000000000000000000000000000000000000000000−1−i1+i−1+i1−i−1+i1−i−1−i1+i0000
χ532-22-22-2-222-200000000-222-22-2000000002i−2i2i−2i2i−2i2i−2i2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22−22−22−22−22−22−22−22−22i−2i2i−2i0000000000000000
χ542-22-22-2-222-200000000-222-22-2000000002i−2i2i−2i2i−2i2i−2i2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−22−22−22−22−22−22−22−222i−2i2i−2i0000000000000000
χ552-22-22-2-222-200000000-222-22-200000000−2i2i−2i2i−2i2i−2i2i2-20000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−22−22−22−22−22−22−22−22−2i2i−2i2i0000000000000000
χ562-22-22-2-222-200000000-222-22-200000000−2i2i−2i2i−2i2i−2i2i2-20000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22−22−22−22−22−22−22−22−2−2i2i−2i2i0000000000000000
χ572-22-22-2-222-200000000-22-22-22000000002i−2i2i−2i2i−2i2i−2i-2200002−22−22−22−2−22−22−22−22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−2i2i−2i2i0000000000000000
χ582-22-22-2-222-200000000-22-22-22000000002i−2i2i−2i2i−2i2i−2i-220000−22−22−22−222−22−22−22−2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i0000000000000000
χ592-22-22-2-222-200000000-22-22-2200000000−2i2i−2i2i−2i2i−2i2i-2200002−22−22−22−2−22−22−22−22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i22i−2i2i−2i0000000000000000
χ602-22-22-2-222-200000000-22-22-2200000000−2i2i−2i2i−2i2i−2i2i-220000−22−22−22−222−22−22−22−2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i22i−2i2i−2i0000000000000000
χ612-22-22-2-22-22000000002-22-22-22i−2i2i−2i2i−2i2i−2i00000000-220000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i22−22−2−22−222−22−2−22−2200002i−2i2i−2i000000000000
χ622-22-22-2-22-22000000002-22-22-22i−2i2i−2i2i−2i2i−2i00000000-220000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−22−222−22−2−22−222−22−200002i−2i2i−2i000000000000
χ632-22-22-2-22-22000000002-22-22-2−2i2i−2i2i−2i2i−2i2i00000000-220000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−22−222−22−2−22−222−22−20000−2i2i−2i2i000000000000
χ642-22-22-2-22-22000000002-22-22-2−2i2i−2i2i−2i2i−2i2i00000000-220000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i22−22−2−22−222−22−2−22−220000−2i2i−2i2i000000000000
χ652-22-22-2-22-22000000002-2-22-222i−2i2i−2i2i−2i2i−2i000000002-200002−22−2−22−222−22−2−22−22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000−2i2i−2i2i000000000000
χ662-22-22-2-22-22000000002-2-22-222i−2i2i−2i2i−2i2i−2i000000002-20000−22−222−22−2−22−222−22−2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000−2i2i−2i2i000000000000
χ672-22-22-2-22-22000000002-2-22-22−2i2i−2i2i−2i2i−2i2i000000002-200002−22−2−22−222−22−2−22−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i200002i−2i2i−2i000000000000
χ682-22-22-2-22-22000000002-2-22-22−2i2i−2i2i−2i2i−2i2i000000002-20000−22−222−22−2−22−222−22−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i200002i−2i2i−2i000000000000
χ692-2-2222-2-20000002i−2i2i−2i002i−2i−2i2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i2002-2002ζ3−2ζ3−2ζ32ζ3000000002ζ−2ζ−2ζ2ζ1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i−222−2−i2i2i2−i2000000000000
χ702-2-2222-2-20000002i−2i2i−2i002i−2i−2i2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i2002-200−2ζ32ζ32ζ3−2ζ300000000−2ζ2ζ2ζ−2ζ−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−222−2−i2i2i2−i2000000000000
χ712-2-2222-2-20000002i−2i2i−2i002i−2i−2i2i−22−222−22−2−i2i2−i2i2i2−i2i2−i2002-2002ζ3−2ζ3−2ζ32ζ3000000002ζ−2ζ−2ζ2ζ−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i2−2−22i2−i2−i2i2000000000000
χ722-2-2222-2-20000002i−2i2i−2i002i−2i−2i2i−22−222−22−2−i2i2−i2i2i2−i2i2−i2002-200−2ζ32ζ32ζ3−2ζ300000000−2ζ2ζ2ζ−2ζ1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i2−2−22i2−i2−i2i2000000000000
χ732-2-2222-2-20000002i−2i2i−2i00−2i2i2i−2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i200-220000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ30000−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i2−2−22i2−i2−i2i2000000000000
χ742-2-2222-2-20000002i−2i2i−2i00−2i2i2i−2i2−22−2−22−22i2−i2i2−i2−i2i2−i2i200-22000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ300001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i2−2−22i2−i2−i2i2000000000000
χ752-2-2222-2-20000002i−2i2i−2i00−2i2i2i−2i−22−222−22−2−i2i2−i2i2i2−i2i2−i200-220000002ζ−2ζ−2ζ2ζ2ζ3−2ζ3−2ζ32ζ300001+i−1−i−1−i1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−222−2−i2i2i2−i2000000000000
χ762-2-2222-2-20000002i−2i2i−2i00−2i2i2i−2i−22−222−22−2−i2i2−i2i2i2−i2i2−i200-22000000−2ζ2ζ2ζ−2ζ−2ζ32ζ32ζ3−2ζ30000−1−i1+i1+i−1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i1−i−1+i−1+i1−i−222−2−i2i2i2−i2000000000000
χ772-2-2222-2-2000000−2i2i−2i2i002i−2i−2i2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i200-220000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ00001−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i2−2−22−i2i2i2−i2000000000000
χ782-2-2222-2-2000000−2i2i−2i2i002i−2i−2i2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i200-22000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ0000−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i2−2−22−i2i2i2−i2000000000000
χ792-2-2222-2-2000000−2i2i−2i2i002i−2i−2i2i−22−222−22−2i2−i2i2−i2−i2i2−i2i200-220000002ζ3−2ζ3−2ζ32ζ32ζ−2ζ−2ζ2ζ0000−1+i1−i1−i−1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i1+i−1−i−1−i1+i−222−2i2−i2−i2i2000000000000
χ802-2-2222-2-2000000−2i2i−2i2i002i−2i−2i2i−22−222−22−2i2−i2i2−i2−i2i2−i2i200-22000000−2ζ32ζ32ζ3−2ζ3−2ζ2ζ2ζ−2ζ00001−i−1+i−1+i1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−222−2i2−i2−i2i2000000000000
χ812-2-2222-2-2000000−2i2i−2i2i00−2i2i2i−2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i2002-2002ζ−2ζ−2ζ2ζ000000002ζ3−2ζ3−2ζ32ζ3−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−222−2i2−i2−i2i2000000000000
χ822-2-2222-2-2000000−2i2i−2i2i00−2i2i2i−2i2−22−2−22−22−i2i2−i2i2i2−i2i2−i2002-200−2ζ2ζ2ζ−2ζ00000000−2ζ32ζ32ζ3−2ζ31+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i−222−2i2−i2−i2i2000000000000
χ832-2-2222-2-2000000−2i2i−2i2i00−2i2i2i−2i−22−222−22−2i2−i2i2−i2−i2i2−i2i2002-2002ζ−2ζ−2ζ2ζ000000002ζ3−2ζ3−2ζ32ζ31+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i2−2−22−i2i2i2−i2000000000000
χ842-2-2222-2-2000000−2i2i−2i2i00−2i2i2i−2i−22−222−22−2i2−i2i2−i2−i2i2−i2i2002-200−2ζ2ζ2ζ−2ζ00000000−2ζ32ζ32ζ3−2ζ3−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i2−2−22−i2i2i2−i2000000000000
χ854444-4-4-4-4004-4-4400000000002222−22−22−22−2222222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ864444-4-4-4-4004-4-440000000000−22−2222222222−22−22−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ874444-4-4-4-400-444-400000000002222−22−22−22−222222−22−2222222222−22−220000000000000000000000000000000000000000000000000000000000
χ884444-4-4-4-400-444-40000000000−22−2222222222−22−222222−22−22−22−2222220000000000000000000000000000000000000000000000000000000000
χ8944-4-4-44-44-444i−4i4i−4i−4i−4i4i4i-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9044-4-4-44-44-44−4i4i−4i4i4i4i−4i−4i-44000000000000000000000000000000000000000000000000000000000000000000000000000000
χ914-44-4-444-40000004-4-440000002i2−2i2−2i22i2−2i22i22i2−2i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ924-44-4-444-40000004-4-44000000−2i22i22i2−2i22i2−2i2−2i22i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ934-44-4-444-4000000-444-40000002i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i20000000000000000000000000000000000000000000000000000000000
χ944-44-4-444-4000000-444-4000000−2i22i22i2−2i22i2−2i2−2i22i2−2i22i22i2−2i22i2−2i2−2i22i20000000000000000000000000000000000000000000000000000000000
χ954-4-44-4-4444400000000-4-40000000000004i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000
χ964-4-44-4-4444400000000-4-4000000000000−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000
χ974-4-44-4-444-4-4000000004400004-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44-4-444-4-400000000440000-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000

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