Finite Group Databasebeta

← Group #72230424

Character table — Group #72230424

Order 2880.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1122222222244444444444444488888888888888899101012121212121212121212121216161616161616161616181818181820202020202020242424242424242424242424242424243636364040404040484848486060606072729090120120120120180
order123345566101023612121515151520203030303066661010121515303060606060222444884040404040404040303030303030303060604101010102666612121212202020202424120120120120120120120120220206666126060606022881010246624242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11
χ31111111111111111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-11111111111111111111-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-11111-1
χ511111111111111111111111111111111111111111-1-1111-11-11111-1-1-1-11111111111-1-1-1-1-111111111-111-1-11-11111-1-1-1-1-1-1-11111111-1-11-11-1-1-1-1-11-11-1-1
χ611111111111111111111111111111111111111111-1-111-11-11-1-1-1-111111111111111-1-1-1-1-11111111-11-1-111-11-1-1-1-11111-1-1-111111-1-111-11-11-1-1-1-1-11-11-1
χ711111111111111111111111111111111111111111-1-1-1-11-11-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-11-1-111-11-111
χ811111111111111111111111111111111111111111-1-1-1-1-11-11-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-11-1-1-1111-11-11
χ911111111111-111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1-1-11111-1-1-1
χ1011111111111-111111111111111-1-1-1-1-1-11111111111111-1-11111111111-1-1-1-1-1-1-1-11111111-1111111-1-1-1-1-1-11111111111-111-1-1-1-11-1-1-1-1-1-111-1-111-1-111-1
χ1111111111111-111111111111111-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-11111-1-111-1-1-1-1-1-1111
χ1211111111111-111111111111111-1-1-1-1-1-111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111111-1-1-1-1-111-1-1-1-1-1-111-1-11
χ1311111111111-111111111111111-1-1-1-1-1-1111111111-1-1111-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111-111-1-1-11-1-1-1-111111-1-1-1-1-1-1111-1-11-1-1111-1-11-1-111
χ1411111111111-111111111111111-1-1-1-1-1-1111111111-1-111-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-11-1-1111-11111-1-1-1-11-1-1-1-1-1-11-1-111-111-111-1-1-111-11
χ1511111111111-111111111111111-1-1-1-1-1-1111111111-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-11-111-1-1-11-1-1-1-111111-1-11111-111-1-1-111-11111-111-1-1
χ1611111111111-111111111111111-1-1-1-1-1-1111111111-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-1-1-1-1-1-11-1-1111-11111-1-1-1-11-1-11111-1-1-1111-1-1111111-1-11-1
χ1722222−1+52−1−5222−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−52000000022−1+52−1−52−1+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1−5200000−1+52−1−52−1+52−1−520000−1+52−1−520000000
χ1822222−1+52−1−5222−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522200-2-2-2-21−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−522−1+52−1+52−1−52−1−520000000-2-21−521+521−521+52-2-21−521−521+521+521−521−521+521+522−1+52−1−52000001−521+521−521+520000−1+52−1−520000000
χ1922222−1+52−1−5222−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-21−521−521+521+5200000002-2−1+52−1−521−521+522-2−1+52−1+52−1−52−1−521−521−521+521+52-21−521+5200000−1+52−1−521−521+5200001−521+520000000
χ2022222−1+52−1−5222−1+52−1−5222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-200-22-221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-21−521−521+521+520000000-221−521+52−1+52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−52-21−521+52000001−521+52−1+52−1−5200001−521+520000000
χ2122222−1+52−1−5222−1+52−1−52-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52220022-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−522−1+52−1+52−1−52−1−52000000022−1+52−1−52−1+52−1−52-2-21−521−521+521+521−521−521+521+52-2−1+52−1−5200000−1+52−1−52−1+52−1−5200001−521+520000000
χ2222222−1+52−1−5222−1+52−1−52-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522200-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−522−1+52−1+52−1−52−1−520000000-2-21−521+521−521+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2−1+52−1−52000001−521+521−521+5200001−521+520000000
χ2322222−1+52−1−5222−1+52−1−52-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2002-2-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52-21−521−521+521+5200000002-2−1+52−1−521−521+52-221−521−521+521+52−1+52−1+52−1−52−1−5221−521+5200000−1+52−1−521−521+520000−1+52−1−520000000
χ2422222−1+52−1−5222−1+52−1−52-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-21−521+522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-200-222-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52-21−521−521+521+520000000-221−521+52−1+52−1−522-2−1+52−1+52−1−52−1−521−521−521+521+5221−521+52000001−521+52−1+52−1−520000−1+52−1−520000000
χ2522222−1−52−1+5222−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+52000000022−1−52−1+52−1−52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1+5200000−1−52−1+52−1−52−1+520000−1−52−1+520000000
χ2622222−1−52−1+5222−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522200-2-2-2-21+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+522−1−52−1−52−1+52−1+520000000-2-21+521−521+521−52-2-21+521+521−521−521+521+521−521−522−1−52−1+52000001+521−521+521−520000−1−52−1+520000000
χ2722222−1−52−1+5222−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-21+521+521−521−5200000002-2−1−52−1+521+521−522-2−1−52−1−52−1+52−1+521+521+521−521−52-21+521−5200000−1−52−1+521+521−5200001+521−520000000
χ2822222−1−52−1+5222−1−52−1+5222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-200-22-221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-21+521+521−521−520000000-221+521−52−1−52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+52-21+521−52000001+521−52−1−52−1+5200001+521−520000000
χ2922222−1−52−1+5222−1−52−1+52-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52220022-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+522−1−52−1−52−1+52−1+52000000022−1−52−1+52−1−52−1+52-2-21+521+521−521−521+521+521−521−52-2−1−52−1+5200000−1−52−1+52−1−52−1+5200001+521−520000000
χ3022222−1−52−1+5222−1−52−1+52-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522200-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+522−1−52−1−52−1+52−1+520000000-2-21+521−521+521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2−1−52−1+52000001+521−521+521−5200001+521−520000000
χ3122222−1−52−1+5222−1−52−1+52-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2002-2-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52-21+521+521−521−5200000002-2−1−52−1+521+521−52-221+521+521−521−52−1−52−1−52−1+52−1+5221+521−5200000−1−52−1+521+521−520000−1−52−1+520000000
χ3222222−1−52−1+5222−1−52−1+52-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-21+521−522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-200-222-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52-21+521+521−521−520000000-221+521−52−1−52−1+522-2−1−52−1−52−1+52−1+521+521+521−521−5221+521−52000001+521−52−1−52−1+520000−1−52−1+520000000
χ332222-2222222022-2-22222-2-22222000000-22222-2-2-2-2222-200000000000000000000-2-2-2222202222-2-200000000000000000-2-20000-200000000002-200000
χ342222-2222222022-2-22222-2-22222000000-22222-2-2-2-222-2200000000000000000000-2-2-222220-2-2-2-22200000000000000000-2-2000020000000000-2200000
χ352222-2222222022-2-22222-2-22222000000-22222-2-2-2-2-2-22-200000000000000000000-2-22-2-2-2-202222-2-200000000000000000220000-20000000000-2200000
χ362222-2222222022-2-22222-2-22222000000-22222-2-2-2-2-2-2-2200000000000000000000-2-22-2-2-2-20-2-2-2-22200000000000000000220000200000000002-200000
χ37222-12222-1222-1-12-12-12-1222-12-12-1-1-122-1-1-1-1-12-12-100220202000022222-12-1-1-1-1-1-1-10000022-1-1-12-10-100220-10000-1-1-1-10002-1-1-1-100-1-1020200000-10-10
χ38222-12222-1222-1-12-12-12-1222-12-12-1-1-122-1-1-1-1-12-12-100220-20-20000-2-2-2-22-12-1-1-1-1-1-1-10000022-1-1-12-10100-2-201000011110002-1-1-1-100110-20-2000001010
χ39222-12222-1222-1-12-12-12-1222-12-12-1-1-122-1-1-1-1-12-12-100-2-20202000022222-12-1-1-1-1-1-1-100000-2-2111-210-100220-10000-1-1-1-1000-2111100-1-10-20-2000001010
χ40222-12222-1222-1-12-12-12-1222-12-12-1-1-122-1-1-1-1-12-12-100-2-20-20-20000-2-2-2-22-12-1-1-1-1-1-1-100000-2-2111-210100-2-20100001111000-211110011020200000-10-10
χ41222-12222-122-2-1-12-12-12-1222-12-1-2111-2-2-1-1-1-1-12-12-10022020-20000-2-2-2-2-21-211111-1-100000-22-1-1-12-10-100220100001111000-2111-100-1-1020-200000-1010
χ42222-12222-122-2-1-12-12-12-1222-12-1-2111-2-2-1-1-1-1-12-12-100220-20200002222-21-211111-1-100000-22-1-1-12-10100-2-20-10000-1-1-1-1000-2111-100110-2020000010-10
χ43222-12222-122-2-1-12-12-12-1222-12-1-2111-2-2-1-1-1-1-12-12-100-2-2020-20000-2-2-2-2-21-211111-1-1000002-2111-210-1002201000011110002-1-1-1100-1-10-2020000010-10
χ44222-12222-122-2-1-12-12-12-1222-12-1-2111-2-2-1-1-1-1-12-12-100-2-20-20200002222-21-211111-1-1000002-2111-210100-2-20-10000-1-1-1-10002-1-1-110011020-200000-1010
χ4522-12222-12222-1-1-12-12-1222-12-12-12-1-122-1-1-1-1-1-12-120022202022220000-12-12-1-1-1-1-1-1000002-12-1-1-12-102200-10-1-1-1-10000000-12-1-1-1-1-10020200000-10-100
χ4622-12222-12222-1-1-12-12-1222-12-12-12-1-122-1-1-1-1-1-12-120022-20-20-2-2-2-20000-12-12-1-1-1-1-1-1000002-12-1-1-1210-2-2001011110000000-12-1-1-11100-20-20000010100
χ4722-12222-12222-1-1-12-12-1222-12-12-12-1-122-1-1-1-1-1-12-1200-2-2202022220000-12-12-1-1-1-1-1-100000-21-2111-2-102200-10-1-1-1-100000001-2111-1-100-20-20000010100
χ4822-12222-12222-1-1-12-12-1222-12-12-12-1-122-1-1-1-1-1-12-1200-2-2-20-20-2-2-2-20000-12-12-1-1-1-1-1-100000-21-2111-210-2-20010111100000001-2111110020200000-10-100
χ4922-12222-1222-2-1-1-12-12-1222-12-121-211-2-2-1-1-1-1-1-12-12002220-20-2-2-2-200001-21-21111-1-100000-2-12-1-1-12-10220010111100000001-211-1-1-10020-200000-10100
χ5022-12222-1222-2-1-1-12-12-1222-12-121-211-2-2-1-1-1-1-1-12-120022-2020222200001-21-21111-1-100000-2-12-1-1-1210-2-200-10-1-1-1-100000001-211-11100-2020000010-100
χ5122-12222-1222-2-1-1-12-12-1222-12-121-211-2-2-1-1-1-1-1-12-1200-2-220-20-2-2-2-200001-21-21111-1-10000021-2111-2-1022001011110000000-12-1-11-1-100-2020000010-100
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χ1098-88-40−2+25−2−25-842−252+250-4400−2+251−5−2−251+5002−25−1+52+25−1−500000001−51+5−1+5−1−50000000000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ390000000000000000000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ390000000000000000000000000
χ1108-88-40−2−25−2+25-842+252−250-4400−2−251+5−2+251−5002+25−1−52−25−1+500000001+51−5−1−5−1+50000000000000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ370000000000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ370000000000000000000000000
χ1118-88-40−2−25−2+25-842+252−250-4400−2−251+5−2+251−5002+25−1−52−25−1+500000001+51−5−1−5−1+500000000000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ370000000000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ370000000000000000000000000
χ1128-8-480884-8-8-80-4400-48-48004-84-80000000-4-44400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-8-480−2+25−2−254-82−252+250-44001−5−2+251+5−2−2500−1+52−25−1−52+2500000001−51+5−1+5−1−50000000000002ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ37−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ390000000000000000000000000000000000−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ37ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ3900000000000000000000000000000
χ1148-8-480−2+25−2−254-82−252+250-44001−5−2+251+5−2−2500−1+52−25−1−52+2500000001−51+5−1+5−1−5000000000000−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ372ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ390000000000000000000000000000000000ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ37−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ3900000000000000000000000000000
χ1158-8-480−2−25−2+254-82+252−250-44001+5−2−251−5−2+2500−1−52+25−1+52−2500000001+51−5−1−5−1+5000000000000−2ζ21+2ζ29−2ζ31+2ζ392ζ21−2ζ29+2ζ31−2ζ39−2ζ7+2ζ13+2ζ23−2ζ372ζ7−2ζ13−2ζ23+2ζ370000000000000000000000000000000000ζ21−ζ29+ζ31−ζ39−ζ21+ζ29−ζ31+ζ39ζ7−ζ13−ζ23+ζ37−ζ7+ζ13+ζ23−ζ3700000000000000000000000000000
χ1168-8-480−2−25−2+254-82+252−250-44001+5−2−251−5−2+2500−1−52+25−1+52−2500000001+51−5−1−5−1+50000000000002ζ21−2ζ29+2ζ31−2ζ39−2ζ21+2ζ29−2ζ31+2ζ392ζ7−2ζ13−2ζ23+2ζ37−2ζ7+2ζ13+2ζ23−2ζ370000000000000000000000000000000000−ζ21+ζ29−ζ31+ζ39ζ21−ζ29+ζ31−ζ39−ζ7+ζ13+ζ23−ζ37ζ7−ζ13−ζ23+ζ3700000000000000000000000000000
χ1178-8-4-408844-8-802-200-4-4-4-4004444000000022-2-2000000000000000000000000000000000000006-60000000000000000000000000000000000000000000
χ1188-8-4-408844-8-802-200-4-4-4-4004444000000022-2-200000000000000000000000000000000000000-660000000000000000000000000000000000000000000
χ11916-16-8-80−4+45−4−45884−454+4504-4002−252−252+252+2500−2+25−2+25−2−25−2−250000000−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12016-16-8-80−4−45−4+45884+454−4504-4002+252+252−252−2500−2−25−2−25−2+25−2+250000000−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 40 (ζ40 = 1).