Finite Group Databasebeta

← Group #14453657

Character table — Group #14453657

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size111122222222222222444444444444448888888888888888888888810101212121216161616161616161616161616202020202024242424242424242424404040404040404848484860606060606080120
order12223445566610101010101012121515202020203030303030302266824244040404060606060120120120120120120120120224488610101010303030303030303022466242020202040404040466812242410102020244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-11-1
χ31111111111111111111111111111111111111111111111111111111-1-111111111111111111-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ5111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1111111-11111-1-1-1-1-111-11-1-111-1-111-1-1-1-1-11
χ6111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-111-1-11111-1-1-1-111111-11-1-1-1-11111-111-11-1-1-1-111-1-11111-1-1
χ7111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-1-11-11111-1-1-1-11-1-11-11111-1-1-1-111111-1
χ8111111111111111111111111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-111111-1-11-111-1-11111-1-1-1-111
χ911111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11-1-111-1-1-1-11111-1-1111-111111-1-1-1-11-1-1-11-1-1-1-1111111-1-11-1
χ1011111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111-1-111-1-1-1-11111-1-11111-1-1-1-1-111111-1-1-11-1-111-1-1-1-1-1-11111
χ1111111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11-1-111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1111-111-1-111-1-1-1-111-11
χ1211111111111111111111111111111111-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1111111-1-1-11-1-1-1-1-11111-1111-11111-1-11111-1-1-1-1
χ1311111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111-1-1-11111-1-1-1-111-1-111-1-1
χ1411111111111111111111111111111111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-11
χ1511111111111111111111111111111111-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ1611111111111111111111111111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1111-1
χ172222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1−52−1+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+520022222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+5200000000
χ182222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222222−1−52−1−52−1+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+5200-2-2-2-22−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−5200000000
χ192222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520022-2-2-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52000002-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−5200000000
χ202222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522-222-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-222-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000-221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+5200000000
χ212222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520022-2-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000-22−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+5200000000
χ222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-22-2-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-22221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000002-21+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−5200000000
χ232222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222−1−52−1−52−1+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+52002222-21+521−521+521−521+521+521−521−521+521+521−521−5200000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−5200000000
χ242222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2222−1−52−1−52−1+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+5200-2-2-2-2-21+521−521+521−521+521+521−521−521+521+521−521−5200000221+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+5200000000
χ252222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520022222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−5200000000
χ262222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-2-22−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+5200000000
χ272222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520022-2-2-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52000002-2−1+52−1+52−1−52−1−521−521−521+521+520000000−1+52−1−521−521+5200000000
χ282222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522-222-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-222-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000-221−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−5200000000
χ292222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520022-2-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000-22−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−5200000000
χ302222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-22-2-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-22221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000002-21−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+5200000000
χ312222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52002222-21−521+521−521+521−521−521+521+521−521−521+521+5200000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000001−521+521−521+5200000000
χ322222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200-2-2-2-2-21−521+521−521+521−521−521+521+521−521−521+521+5200000221−521−521+521+521−521−521+521+520000000−1+52−1−52−1+52−1−5200000000
χ3322222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-200000000222-200000000000000000-222002-22-200000000-2000000-22000000
χ3422222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-20000000022-2200000000000000000-22200-22-2200000000-20000002-2000000
χ3522222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-200000000-2-22-2000000000000000002-2-2002-22-20000000020000002-2000000
χ3622222-2-222222222222-2-222-2-2-2-222222200000000000-2-2-2-200000000-2-2-22000000000000000002-2-200-22-22000000002000000-22000000
χ372222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000-12222-1-1-1-1-1-1-1-1222-1-100000000002-1-12-1-1-10000000000-10
χ382222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-122-1-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-12222-1-1-1-1-1-1-1-1-2-2-2110000000000-211-2111000000000010
χ392222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-1-1-211-2-2-2-2-1-1-1-111111111220000122-2-2-1-1-1-11111222-1-10000000000-2-1-1-2-111000000000010
χ402222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-12-2-1-1-211-2-2-2-2-1-1-1-111111111-2-20000122-2-2-1-1-1-11111-2-2-211000000000021121-1-10000000000-10
χ412222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2211-211-2-2-2-2-1-1-1-111111111220000-1-2-2221111-1-1-1-1-2-22-1-10000000000211-2-1110000000000-10
χ422222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2211-211-2-2-2-2-1-1-1-111111111-2-20000-1-2-2221111-1-1-1-122-2110000000000-2-1-121-1-1000000000010
χ432222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2112-1-12222-1-1-1-1-1-1-1-1-1-1-1-12200001-2-2-2-211111111-2-22-1-10000000000-2112-1-1-1000000000010
χ442222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1-2-2112-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200001-2-2-2-21111111122-21100000000002-1-1-21110000000000-10
χ452-2-222-2222-22-2-2-2-2-222-2222-2-222-2-2-2-2220000000000022-2-20000000000002-200000000000002-20000000002-22-202-200000000002-20000
χ462-2-222-2222-22-2-2-2-2-222-2222-2-222-2-2-2-2220000000000022-2-20000000000002-20000000000000-220000000002-22-20-220000000000-220000
χ472-2-222-2222-22-2-2-2-2-222-2222-2-222-2-2-2-2220000000000022-2-2000000000000-2200000000000002-2000000000-22-2202-20000000000-220000
χ482-2-222-2222-22-2-2-2-2-222-2222-2-222-2-2-2-2220000000000022-2-2000000000000-220000000000000-22000000000-22-220-2200000000002-20000
χ4944444-4-4−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+5000000000001+51−51+51−500000000004-40000000000000000000000−1−51+5−1+51−500000000000000000000000
χ5044444-4-4−1−5−1+5444−1−5−1−5−1+5−1+5−1−5−1+5-4-4−1−5−1+51+51−51+51−5−1−5−1−5−1+5−1+5−1−5−1+5000000000001+51−51+51−50000000000-4400000000000000000000001+5−1−51−5−1+500000000000000000000000
χ5144444-4-4−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−5000000000001−51+51−51+500000000004-40000000000000000000000−1+51−5−1−51+500000000000000000000000
χ5244444-4-4−1+5−1−5444−1+5−1+5−1−5−1−5−1+5−1−5-4-4−1+5−1−51−51+51−51+5−1+5−1+5−1−5−1−5−1+5−1−5000000000001−51+51−51+50000000000-4400000000000000000000001−5−1+51+5−1−500000000000000000000000
χ534444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−5244-2-24-2-2−1−5−1−5−1+5−1+51+521−521+521−521+521+521+521+521−521−521−521−52000000-2−1−5−1+5−1−5−1+51+521+521−521−521+521+521−521−520000000000000000000000000000000000
χ544444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−524-4-2-2-4221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−5−1+51+51−51+521+521−521−52−1−52−1−52−1+52−1+520000000000000000000000000000000000
χ554444-244−1−5−1+5-2-2-2−1−5−1−5−1+5−1+5−1−5−1+5-2-21+521−52−1−5−1+5−1−5−1+51+521+521−521−521+521−52-4422-4221+51+51−51−51+521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+51−5−1−5−1+5−1−52−1−52−1+52−1+521+521+521−521−520000000000000000000000000000000000
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χ1058-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+25001−51+50000−1+51−5−1−51+5−1+5−1−500000−2i62i600000000−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ10300000000000000000000000000000000000000000000000000000
χ1068-88-8-400−2+25−2−2544-42−25−2+252+25−2−252−252+25001−51+50000−1+51−5−1−51+5−1+5−1−5000002i6−2i600000000ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ10300000000000000000000000000000000000000000000000000000
χ1078-8-88-4-88−2−25−2+254-442+252+252−252−25−2−25−2+254-41+51−52+252−25−2−25−2+25−1−5−1−5−1+5−1+51+51−5000000000001+51−5−1−5−1+50000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-4-88−2+25−2−254-442−252−252+252+25−2+25−2−254-41−51+52−252+25−2+25−2−25−1+5−1+5−1−5−1−51−51+5000000000001−51+5−1+5−1−50000000000000000000000000000000000000000000000000000000000000

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