Finite Group Databasebeta

← Group #14435976

Character table — Group #14435976

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11112222222222222244444444444444448888888888888888888888888888101010101212121212121212121216161616161616161616202020202020242424242424242424242440404040404040404848606060606060120
order1222344556661010101010104412121515202020203030303030304812121212202020202424404040406060606012012012012012012012012044442224882020202020206060606060606060441212121221010101010104040404026681212242410104444884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ51111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-11111111111-1111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1
χ61111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111
χ71111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-1-1-1111
χ81111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-111111111-1-111111111-1-1-1
χ9111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-11111-11111-1-11111111-1-1-1-1-1-1-1-111-111-1
χ10111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-11111111111-1-1-1-1-1-111111-1-1-1-111-1-1-1-1111-1-1-1-1-1111-1-11-1-11
χ11111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-111-1-1-1-1-11111-1-11111-1-1-111111-1-11-1-11-1-11
χ12111111111111111111-1-1111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-11111111-111-111-1
χ13111111111111111111-1-111111111111111-11-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-11111-111-1-1-11
χ14111111111111111111-1-111111111111111-11-1-1-1-1-1-1-1-11111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-11-1-111-1-11-1-1111-1
χ15111111111111111111-1-111111111111111-11-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-1-1-1-1111-111-1-1111-1-1111-1
χ16111111111111111111-1-111111111111111-11-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-111-1-1-11
χ172222222−1−52−1+52222−1−52−1+52−1−52−1+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+52222222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000002−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+520000000
χ182222222−1−52−1+52222−1−52−1+52−1−52−1+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+52222222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000-21+521+521−521−521+521−521+521+521−521−52000000001+521−520000000
χ192222222−1−52−1+52222−1−52−1+52−1−52−1+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+52-2-222-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200002222-2-2−1−52−1−52−1+52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52000000-2−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52000000001+521−520000000
χ202222222−1−52−1+52222−1−52−1+52−1−52−1+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+52-2-222-2-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000-2-2-2-2221+521+521−521−521+521−521+521+521−521−52−1−52−1−52−1+52−1+5200000021+521+521−521−521+521−52−1−52−1−52−1+52−1+5200000000−1−52−1+520000000
χ212222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+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+522-2-2-2221+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52000022-2-2221+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000-2−1−52−1−52−1+52−1+521+521−52−1−52−1−52−1+52−1+52000000001+521−520000000
χ222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+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+522-2-2-2221+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000021+521+521−521−52−1−52−1+521+521+521−521−5200000000−1−52−1+520000000
χ232222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+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+52-22-2-2-2-21+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022-2-2-2-21+521+521−521−521+521−521+521+521−521−521+521+521−521−520000002−1−52−1−52−1+52−1+521+521−521+521+521−521−5200000000−1−52−1+520000000
χ242222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+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+52-22-2-2-2-21+521+521−521−5222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-22222−1−52−1−52−1+52−1+521+521−521+521+521−521−521+521+521−521−52000000-21+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52000000001+521−520000000
χ252222222−1+52−1−52222−1+52−1−52−1+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+52−1−52222222−1+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+52−1−52−1−52−1−52−1−520000222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000002−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−520000000
χ262222222−1+52−1−52222−1+52−1−52−1+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+52−1−52222222−1+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+52−1−52−1−52−1−52−1−520000-2-2-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000-21−521−521+521+521−521+521−521−521+521+52000000001−521+520000000
χ272222222−1+52−1−52222−1+52−1−52−1+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+52−1−52-2-222-2-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200002222-2-2−1+52−1+52−1−52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52000000-2−1+52−1+52−1−52−1−52−1+52−1−521−521−521+521+52000000001−521+520000000
χ282222222−1+52−1−52222−1+52−1−52−1+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+52−1−52-2-222-2-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000-2-2-2-2221−521−521+521+521−521+521−521−521+521+52−1+52−1+52−1−52−1−5200000021−521−521+521+521−521+52−1+52−1+52−1−52−1−5200000000−1+52−1−520000000
χ292222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2221−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52000022-2-2221−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000-2−1+52−1+52−1−52−1−521−521+52−1+52−1+52−1−52−1−52000000001−521+520000000
χ302222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−522-2-2-2221−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520000-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000021−521−521+521+52−1+52−1−521−521−521+521+5200000000−1+52−1−520000000
χ312222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022-2-2-2-21−521−521+521+521−521+521−521−521+521+521−521−521+521+520000002−1+52−1+52−1−52−1−521−521+521−521−521+521+5200000000−1+52−1−520000000
χ322222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2-21−521−521+521+5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-22222−1+52−1+52−1−52−1−521−521+521−521−521+521+521−521−521+521+52000000-21−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52000000001−521+520000000
χ3322222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000022-2-2002-200-2-2-2-200000000000022-2-2000002200000000000000-2002000
χ3422222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-20000000022-2-200-2200222200000000000022-2-200000-2-200000000000000200-2000
χ3522222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-200000000-2-222002-200-2-2-2-2000000000000-2-222000002200000000000000200-2000
χ3622222-2-22222222222200-2-222-2-2-2-22222220000000000000000-2-2-2-200000000-2-22200-22002222000000000000-2-22200000-2-200000000000000-2002000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000022-1-1-1-1-1-1-1-122-1-1-1-1000000000002-1-12-1-1-1-1000000000
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-122-1-1-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000022-1-1-1-1-1-1-1-1-2-2111100000000000-211-21111000000000
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-111222211-2-2-2-2-1-1-1-11111111122220000000000-2-21111-1-1-1-122-1-1-1-100000000000-211-2-1-111000000000
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-2-2-1-111222211-2-2-2-2-1-1-1-111111111-2-2-2-20000000000-2-21111-1-1-1-1-2-21111000000000002-1-1211-1-1000000000
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-1-1-2-2-2-211-2-2-2-2-1-1-1-1111111112222000000000022-1-1-1-11111-2-2-1-1-1-1000000000002-1-1-21111000000000
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-12-211-1-1-2-2-2-211-2-2-2-2-1-1-1-111111111-2-2-2-2000000000022-1-1-1-1111122111100000000000-2112-1-1-1-1000000000
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-221111-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000-2-211111111-2-2-1-1-1-100000000000-211211-1-1000000000
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-1-221111-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000000-2-211111111221111000000000002-1-1-2-1-111000000000
χ4522-2-222-2222-2-2-2-2-2-2222-2-2222-2-222-2-2-2-222002-2002-22-200000022-2-2000000002i−2i2i−2i00000000000000002-22-22i−2i2i−2i2i−2i0000000000000002i−2i00000000000
χ4622-2-222-2222-2-2-2-2-2-2222-2-2222-2-222-2-2-2-222002-2002-22-200000022-2-200000000−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i−2i2i000000000000000−2i2i00000000000
χ4722-2-222-2222-2-2-2-2-2-222-22-2222-2-222-2-2-2-22200-2200-22-2200000022-2-2000000002i−2i2i−2i0000000000000000-22-22−2i2i2i−2i2i−2i000000000000000−2i2i00000000000
χ4822-2-222-2222-2-2-2-2-2-222-22-2222-2-222-2-2-2-22200-2200-22-2200000022-2-200000000−2i2i−2i2i0000000000000000-22-222i−2i−2i2i−2i2i0000000000000002i−2i00000000000
χ4922-2-22-22222-2-2-2-2-2-222002-22222-2-2-2-2-2-2220000000000000000-2-222000000002i−2i−2i2i2-2000000000000000000002i−2i−2i2i02-22-2000000000000000002i−2i0000
χ5022-2-22-22222-2-2-2-2-2-222002-22222-2-2-2-2-2-2220000000000000000-2-222000000002i−2i−2i2i-22000000000000000000002i−2i−2i2i0-22-2200000000000000000−2i2i0000
χ5122-2-22-22222-2-2-2-2-2-222002-22222-2-2-2-2-2-2220000000000000000-2-22200000000−2i2i2i−2i2-200000000000000000000−2i2i2i−2i02-22-200000000000000000−2i2i0000
χ5222-2-22-22222-2-2-2-2-2-222002-22222-2-2-2-2-2-2220000000000000000-2-22200000000−2i2i2i−2i-2200000000000000000000−2i2i2i−2i0-22-22000000000000000002i−2i0000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.