Finite Group Databasebeta

← Group #14285184

Character table — Group #14285184

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size1111222222222222444444444444444444444444444448888888888888888888888888888888888888888881010101010102020202020202020204040404040406060606060606060120120120120
order122234444666121212124510101012121212151520202020303030303030606060606060606044121212122020202020202020202020206060606060606060606060606060606060606060606060604444442661212121212124412121212888888888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iii−i−i
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−iii
χ5111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111iiii−i−i−i−i−i−iii
χ8111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111−i−i−i−iiiiiii−i−i
χ911111-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-11-111-1-1ii−i−iii−i−ii−ii−i
χ1011111-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111-1-111-1-11-111-1-1−i−iii−i−iii−ii−ii
χ1111111-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-11-1-11111-1-1-1-1111-1-11
χ1211111-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-111-11-1-111-1-11111-1-1-111-1
χ1311111-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-111-1-1-11-1-111ii−i−iii−i−i−ii−ii
χ1411111-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-111-1-1-11-1-111−i−iii−i−iiii−ii−i
χ1511111-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1111-111-1-111-1-1-1-111-111-1
χ1611111-1-1-1-1111-1-1-1-11111111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1-1111-111-1-1-1-11111-1-11-1-11
χ172222222-2-22222222-22222-2-2-2-222222222222222222222000000-2-2-2-200000000-2-2-2-2-2-2-2-2000000000000000022-2-222-2-2-2-2-22222000000000000000000
χ182222222-2-22222222-22222-2-2-2-222222222222222222222000000-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-222-2-222222-2-2-2-2000000000000000000
χ1922222-2-222222-2-2-2-2-22222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2000000-2-22200000000-2-2-2-2222200000000000000002222-2-2-2-2-22222-2-2000000000000000000
χ2022222-2-222222-2-2-2-2-22222-2-22222-2-2-2-2222222-2-2-2-2-2-2-2-2000000-2-22200000000-2-2-2-222220000000000000000-2-2-2-222222-2-2-2-222000000000000000000
χ212222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-122-1-1-1-1000000000000
χ222222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-211111111-2-21111000000000000
χ232222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222222-1-1-1-1-1-1-1-1-2-21111000000000000
χ242222-12222-1-1-1-1-1-1-122222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211112222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-21111111122-1-1-1-1000000000000
χ252222-122-2-2-1-1-1-1-1-1-1-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i3-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-2-222-21111-1-1-1-100−i3i3−i3i3000000000000
χ262222-122-2-2-1-1-1-1-1-1-1-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100−i3i3−i3i3-2-2-2-20000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-222-2-22-1-1-1-1111100i3−i3i3−i3000000000000
χ272222-122-2-2-1-1-1-1-1-1-1-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i3-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-2-222-21111-1-1-1-100i3−i3i3−i3000000000000
χ282222-122-2-2-1-1-1-1-1-1-1-222221111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100i3−i3i3−i3-2-2-2-20000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-222-2-22-1-1-1-1111100−i3i3−i3i3000000000000
χ292222-1-2-222-1-1-11111-2222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i3i3−i3-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32222-2-2-211-1-1-1-11100−i3i3i3−i3000000000000
χ302222-1-2-222-1-1-11111-2222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100−i3i3i3−i3-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-2-2-2222-1-11111-1-100i3−i3−i3i3000000000000
χ312222-1-2-222-1-1-11111-2222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i3−i3i3-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32222-2-2-211-1-1-1-11100i3−i3−i3i3000000000000
χ322222-1-2-222-1-1-11111-2222211-1-1-1-1-2-2-2-2-1-1-1-1-1-11111111100i3−i3−i3i3-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-2-2-2222-1-11111-1-100−i3i3i3−i3000000000000
χ332222-1-2-2-2-2-1-1-1111122222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-11111111122-2-2-2-22-1-111-1-1112-2-1-111000000000000
χ342222-1-2-2-2-2-1-1-1111122222-1-111-1-1-2-2-2-2-1-1-1-1-1-1111111112-2-1-11122-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111-2-22222-211-1-111-1-1-2211-1-1000000000000
χ352222-1-2-2-2-2-1-1-1111122222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2211-1-122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-122-2-2-2-22-1-111-1-111-2211-1-1000000000000
χ362222-1-2-2-2-2-1-1-1111122222-1-111-1-1-2-2-2-2-1-1-1-1-1-111111111-2211-1-122-2-2-2-2-2-22222-1-1-1-1111111111111-1-1-1-1-1-1-1-1-2-22222-211-1-111-1-12-2-1-111000000000000
χ372-22-222i−2i00-22-22i2i−2i−2i02-22-20000222i2i−2i−2i-2-222-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000002i−2i002-2000002i−2i2-20000002−2−i2i2−i2i22−20000
χ382-22-222i−2i00-22-22i2i−2i−2i02-22-20000222i2i−2i−2i-2-222-2-22i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000002i−2i002-2000002i−2i2-2000000−22i2−i2i2−i2−220000
χ392-22-222i−2i00-22-22i2i−2i−2i02-22-20000222i2i−2i−2i-2-222-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000−2i2i00-2200000−2i2i-22000000−i2i2−222−2i2−i20000
χ402-22-222i−2i00-22-22i2i−2i−2i02-22-20000222i2i−2i−2i-2-222-2-22i2i2i2i−2i−2i−2i−2i000000000000000000000000000000000000000000−2i2i00-2200000−2i2i-22000000i2−i22−2−22−i2i20000
χ412-22-22−2i2i00-22-2−2i−2i2i2i02-22-2000022−2i−2i2i2i-2-222-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000002i−2i00-22000002i−2i-22000000−i2i22−2−22i2−i20000
χ422-22-22−2i2i00-22-2−2i−2i2i2i02-22-2000022−2i−2i2i2i-2-222-2-2−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000002i−2i00-22000002i−2i-22000000i2−i2−222−2−i2i20000
χ432-22-22−2i2i00-22-2−2i−2i2i2i02-22-2000022−2i−2i2i2i-2-222-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000−2i2i002-200000−2i2i2-20000002−2i2−i2i2−i22−20000
χ442-22-22−2i2i00-22-2−2i−2i2i2i02-22-2000022−2i−2i2i2i-2-222-2-2−2i−2i−2i−2i2i2i2i2i000000000000000000000000000000000000000000−2i2i002-200000−2i2i2-2000000−22−i2i2−i2i2−220000
χ4544444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1444444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ4644444444444444444-1-1-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-4-4-4-4-4-4-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111000000000000000000000000000000000
χ474444444-4-44444444-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000001111−5−555−5−55511111111−5−555−5−555−5−555−5−555000000000000000000000000000000000
χ484444444-4-44444444-4-1-1-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111155−5−555−5−51111111155−5−555−5−555−5−555−5−5000000000000000000000000000000000
χ4944444-4-444444-4-4-4-4-4-1-1-1-1-4-444-1-11111-1-1-1-1-1-11111111100000011-1-1−5−55555−5−51111-1-1-1-1−5−555−5−55555−5−555−5−5000000000000000000000000000000000
χ5044444-4-444444-4-4-4-4-4-1-1-1-1-4-444-1-11111-1-1-1-1-1-11111111100000011-1-155−5−5−5−5551111-1-1-1-155−5−555−5−5−5−555−5−555000000000000000000000000000000000
χ5144444-4-4-4-4444-4-4-4-44-1-1-1-144-4-4-1-11111-1-1-1-1-1-1111111114-444-4-4-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111000000000000000000000000000000000
χ5244444-4-4-4-4444-4-4-4-44-1-1-1-144-4-4-1-11111-1-1-1-1-1-111111111-44-4-444-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1000000000000000000000000000000000
χ534444-24444-2-2-2-2-2-2-24-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i152000000000000000000000000000000000
χ544444-24444-2-2-2-2-2-2-24-1-1-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152-4-42222-1-1-1-1111111111−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152000000000000000000000000000000000
χ554444-24444-2-2-2-2-2-2-24-1-1-1-1-2-2-2-21+i1521−i152-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i15244-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i1521+i1521+i1521−i1521−i1521−i1521−i1521+i1521+i152000000000000000000000000000000000
χ564444-24444-2-2-2-2-2-2-24-1-1-1-1-2-2-2-21+i1521−i152-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152-4-42222-1-1-1-1111111111+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152−1−i152−1−i152−1+i152−1+i152−1+i152−1+i152−1−i152−1−i152000000000000000000000000000000000
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χ10988-8-8800008-8-800000-2-2220000-2-2−252525−25-2-22222−252525−25−252525−25000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1208-88-8-4−8i8i004-444i4i−4i−4i0-22-2200001+i151−i152i2i−2i−2i−1−i15−1+i151+i151−i15−1−i15−1+i15−2ζ38−2ζ46−2ζ62−2ζ94−2ζ38−2ζ46−2ζ62−2ζ94−2ζ14−2ζ22−2ζ86−2ζ118−2ζ14−2ζ22−2ζ86−2ζ1182ζ38+2ζ46+2ζ62+2ζ942ζ38+2ζ46+2ζ62+2ζ942ζ14+2ζ22+2ζ86+2ζ1182ζ14+2ζ22+2ζ86+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.