Finite Group Databasebeta

← Group #14454345

Character table — Group #14454345

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222224444444444444466888888888888888888888888888121212121212121616161616161616161616202020202020202024242424242424242424242440404040404048486060606080120120
order12223445566610101010101012121515202020203030303030304424810101010121224244040404060606060120120120120120120120120244202020206202030303030606060602244881212281010202020204040404026612242410102488644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-111-1-11
χ411111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111-1-111-1-1111111-1-1-1-11-1-11-1-1-1-111-1-111-1
χ51111111111111111111111111111111111-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111-111-1-1-1-111111111-1-1111-111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-11
χ61111111111111111111111111111111111-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11111-111-1-1-1-11111-1-1-1-111-1-11-111-1-1-1-1-1-1-1-11-1-1-11111-1-11111-1
χ71111111111111111111111111111111111-1-11-1-1-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1111
χ81111111111111111111111111111111111-1-11-1-1-1-1-1-11111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1111-1-1-1-11111-1-1-1111-1-11111-1-1-1
χ911111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-1
χ1011111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111
χ1111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-111-1-1-1-1-1-11111-111-1111111-1-1-11-1
χ1211111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-11111-1-1-1-1-1-111111-1-11-1-111-1-1111-11
χ1311111111111111111111111111111111-1-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-111111111-1-111-11-1-111111111-1111-1-1-1-1-1-111-11-1
χ1411111111111111111111111111111111-1-1-11-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-11-1-1111111111-1-1-111-1-111-1-11-11
χ1511111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1111-1-1-11111111-1-1
χ1611111111111111111111111111111111-1-1-1-11-1-1-1-1-1-1111111111111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11111-1-1-1-1-1-1-111111-1-1-1-1-111
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+5222222−1−52−1−52−1+52−1+522222−1−52−1−52−1+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+52222−1−52−1−52−1+52−1+522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000022−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−1−52−1+520000000
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+52222-2-2−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52222−1−52−1−52−1+52−1+5221+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000-2-2−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000001+521−520000000
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+5222-22-21+521+521−521−5222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−522-2-2−1−52−1−52−1+52−1+52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000002-2−1−52−1+521+521+521−521−521+521+521−521−52000000−1−52−1+520000000
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+5222-2-221+521+521−521−52-2-222−1−52−1−52−1+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+522-2-2−1−52−1−52−1+52−1+52-21+521−521+521+521−521−521+521+521−521−5200000000-22−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000001+521−520000000
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+52-2-2222−1−52−1−52−1+52−1+522222−1−52−1−52−1+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+52-2-2-21+521+521−521−522−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-21+521−521+521+521−521−521+521+521−521−520000001+521−520000000
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+52-2-22-2-2−1−52−1−52−1+52−1+52-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-21+521+521−521−5221+521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000221+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000−1−52−1+520000000
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+52-2-2-22-21+521+521−521−5222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2221+521+521−521−52-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000-221+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000001+521−520000000
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+52-2-2-2-221+521+521−521−52-2-222−1−52−1−52−1+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+52-2221+521+521−521−52-21+521−521+521+521−521−521+521+521−521−52000000002-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52000000−1−52−1+520000000
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+52−1−5222222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000022−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000−1+52−1−520000000
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+52−1−52222-2-2−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52222−1+52−1+52−1−52−1−5221−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000-2-2−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000001−521+520000000
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+52−1−5222-22-21−521−521+521+5222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+522-2-2−1+52−1+52−1−52−1−52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000002-2−1+52−1−521−521−521+521+521−521−521+521+52000000−1+52−1−520000000
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+52−1−5222-2-221−521−521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-2-2−1+52−1+52−1−52−1−52-21−521+521−521−521+521+521−521−521+521+5200000000-22−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000001−521+520000000
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+52−1−52-2-2222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-21−521−521+521+522−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-21−521+521−521−521+521+521−521−521+521+520000001−521+520000000
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+52−1−52-2-22-2-2−1+52−1+52−1−52−1−52-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2-21−521−521+521+5221−521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000221−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000−1+52−1−520000000
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+52−1−52-2-2-22-21−521−521+521+5222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2221−521−521+521+52-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000-221−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000001−521+520000000
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+52−1−52-2-2-2-221−521−521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2221−521−521+521+52-21−521+521−521−521+521+521−521−521+521+52000000002-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52000000−1+52−1−520000000
χ3322222-2-222222222222-2-222-2-2-2-222222222000000000000000-2-2-2-200000000-200222200000000000002-200-2-200-2-20000000000020000-2200000
χ3422222-2-222222222222-2-222-2-2-2-222222222000000000000000-2-2-2-200000000-20022220000000000000-22002200-2-200000000000-200002-200000
χ3522222-2-222222222222-2-222-2-2-2-2222222-2-2000000000000000-2-2-2-200000000200-2-2-2-200000000000002-200-2-2002200000000000200002-200000
χ3622222-2-222222222222-2-222-2-2-2-2222222-2-2000000000000000-2-2-2-200000000200-2-2-2-20000000000000-220022002200000000000-20000-2200000
χ372222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000-122-1-1-1-1-1-1-1-1222222-1-10000000000002-1-1-1-1-1000000-100
χ382222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000-122-1-1-1-1-1-1-1-1-2-2-2-2-2-211000000000000-211111000000100
χ392222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002-2-222221111-2-2-2-2-1-1-1-1111111110000000-1-2-2-1-1-1-1111122-2-22211000000000000-2-1-11-1-1000000100
χ402222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-1002-2-222221111-2-2-2-2-1-1-1-1111111110000000-1-2-2-1-1-1-11111-2-222-2-2-1-1000000000000211-111000000-100
χ412222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-22-2-2-2-2-2-1-111-2-2-2-2-1-1-1-11111111100000001221111-1-1-1-12222-2-2-1-1000000000000-2-1-1-111000000100
χ422222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-22-2-2-2-2-2-1-111-2-2-2-2-1-1-1-11111111100000001221111-1-1-1-1-2-2-2-222110000000000002111-1-1000000-100
χ432222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-2-22-2-2-2-211-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000001-2-21111111122-2-2-2-2110000000000002-1-1111000000-100
χ442222-12222-1-1-1222222-1-1-1-12222-1-1-1-1-1-100-2-22-2-2-2-211-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000001-2-211111111-2-22222-1-1000000000000-211-1-1-1000000100
χ452-2-222-22222-2-2-2-2-2-222-222222-2-2-2-222-2-200000000000000000-2-2220000000002-20000000000000002-200000000002-22-2000002-200000002-2000
χ462-2-222-22222-2-2-2-2-2-222-222222-2-2-2-222-2-200000000000000000-2-2220000000002-2000000000000000-2200000000002-22-200000-220000000-22000
χ472-2-222-22222-2-2-2-2-2-222-222222-2-2-2-222-2-200000000000000000-2-222000000000-220000000000000002-20000000000-22-22000002-20000000-22000
χ482-2-222-22222-2-2-2-2-2-222-222222-2-2-2-222-2-200000000000000000-2-222000000000-22000000000000000-220000000000-22-2200000-2200000002-2000
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+5440000000000000001+51−51+51−500000000-400−1−5−1−5−1+5−1+50000000000000000000001+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+5-4-40000000000000001+51−51+51−5000000004001+51+51−51−5000000000000000000000−1−5−1+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+5−1−5440000000000000001−51+51−51+500000000-400−1+5−1+5−1−5−1−50000000000000000000001−51+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+5−1−5-4-40000000000000001−51+51−51+5000000004001−51−51+51+5000000000000000000000−1+5−1−500000000000000000000000
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χ1008888-4-8-8−2−25−2+25-4-4-4−2−25−2+25−2−25−2+25−2−25−2+25441+51−52+252−252+252−251+51−51+51−51+51−500000000000000000−1−5−1+5−1−5−1+50000000000000000000000000000000000000000000000000000000000000
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χ1098-88-8-400−2−25−2+2544-42+252−25−2−25−2+252+252−25001+51−50000−1−5−1+5−1−5−1+51+51−500000000000−2i62i600000000−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ11900000000000000000000000000000000000000000000000000000
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χ1118-88-8-400−2+25−2−2544-42−252+25−2+25−2−252−252+25001−51+50000−1+5−1−5−1+5−1−51−51+500000000000−2i62i600000000−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ10300000000000000000000000000000000000000000000000000000
χ1128-88-8-400−2+25−2−2544-42−252+25−2+25−2−252−252+25001−51+50000−1+5−1−5−1+5−1−51−51+5000000000002i6−2i600000000ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ29+ζ31−ζ61−ζ71+ζ79+ζ101−ζ109−ζ119−ζ29−ζ31+ζ61+ζ71−ζ79−ζ101+ζ109+ζ119ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ103ζ7−ζ13−ζ23−ζ37−ζ47+ζ53+ζ77+ζ103−ζ7+ζ13+ζ23+ζ37+ζ47−ζ53−ζ77−ζ10300000000000000000000000000000000000000000000000000000
χ1138-8-88-4-88−2−25−2+25-4442+252−252+252−25−2−25−2+254-41+51−5−2−25−2+252+252−25−1−5−1+51+51−5−1−5−1+500000000000000000−1−5−1+51+51−50000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-88−2+25−2−25-4442−252+252−252+25−2+25−2−254-41−51+5−2+25−2−252−252+25−1+5−1−51−51+5−1+5−1−500000000000000000−1+5−1−51−51+50000000000000000000000000000000000000000000000000000000000000

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