Finite Group Databasebeta

← Group #14435559

Character table — Group #14435559

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size111122222222222222444444444444444466668888888888888888888888888888881010121212121212121212121616161616161616162020202020242424242424242424242424242430304040404040404060606080120120
order12223445566610101010101044121215152020202030303030303044444812122020202020202020242440404040606060601201201201201201201201204444202020202020202012606060606060606044412124820202020202020204040404022281212122424444648
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-11111-1-1-1-111111-1-11111-1-1-1-1-1-1-1-111-1-1111-1-1111-1-1-1
χ411111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1111
χ51111111111111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-11-1-1
χ61111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111-111
χ71111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-111111111-1-1-1-1111-1-1-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1111111-1-1
χ9111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-11111-1-11111-1-1-1-1-11111-1-1-1-1111-11-1-1-1-11-1-111-1
χ10111111111111111111-1-11111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-11-11111-111-1-11
χ11111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1111111-111-1-1111-1-1-1-11
χ12111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11-1-1-1-1-1-1-1-11111-1-11-1-111-1-1-11111-1
χ13111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-111111-1-1-1-11111-1-11-11-1-1-1-1-1111-11
χ14111111111111111111-1-111111111111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-111111-1-1-1-1111111-11-111111-1-1-11-1
χ15111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111111111-1-1-1-1-1-1-111-1-111-111-11-1
χ16111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-111111111-1-1-1-1111-1-111-1-11-1-11-11
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+5222222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52000000000000000
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+522222-2-222−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−520022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2−1−52−1−52−1+52−1+521+521+521−521−5200000-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000
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+52-2-2-2-22222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200-2-21+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000-2-21+521+521−521−521+521+521−521−521+521+521−521−52000000000000000
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+52-2-2-2-2-2-222−1−52−1−52−1+52−1+521+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-21+521+521−521−521+521+521−521−52-2−1−52−1−52−1+52−1+521+521+521−521−5200000221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000
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+5222222-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5221+521+521−521−52−1−52−1−52−1+52−1+52000002-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
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+522222-22-2-21+521+521−521−521+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+5200-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−521+521+521−521−5200000-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
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+52-2-2-2-22-2-2-21+521+521−521−52−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5200221+521+521−521−521+521+521−521−5221+521+521−521−52−1−52−1−52−1+52−1+5200000-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000
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+52-2-2-2-2-22-2-21+521+521−521−521+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+5200221+521+521−521−521+521+521−521−52-21+521+521−521−521+521+521−521−52000002-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000
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+52−1−5222222222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−520022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
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+52−1−522222-2-222−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+520022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2−1+52−1+52−1−52−1−521−521−521+521+5200000-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000
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+52−1−52-2-2-2-22222−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−5200-2-21−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000-2-21−521−521+521+521−521−521+521+521−521−521+521+52000000000000000
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+52−1−52-2-2-2-2-2-222−1+52−1+52−1−52−1−521−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+5200-2-21−521−521+521+521−521−521+521+52-2−1+52−1+52−1−52−1−521−521−521+521+5200000221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000
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+52−1−5222222-2-2-21−521−521+521+52−1+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+5200-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5221−521−521+521+52−1+52−1+52−1−52−1−52000002-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
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+52−1−522222-22-2-21−521−521+521+521−521−521+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+52−1−52−1−52−1−52−1−5200-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+521−521−521+521+5200000-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
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+52−1−52-2-2-2-22-2-2-21−521−521+521+52−1+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+5200221−521−521+521+521−521−521+521+5221−521−521+521+52−1+52−1+52−1−52−1−5200000-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000
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+52−1−52-2-2-2-2-22-2-21−521−521+521+521−521−521+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+52−1−52−1−52−1−52−1−5200221−521−521+521+521−521−521+521+52-21−521−521+521+521−521−521+521+52000002-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000
χ3322222-2-22222222222200-2-222-2-2-2-222222222-2-2000000000000000000-2-2-2-2000000002200-2-2-2-2222200000000000-222000000000000002200-20000-200000
χ3422222-2-22222222222200-2-222-2-2-2-222222222-2-2000000000000000000-2-2-2-200000000-2-200-2-2-2-22222000000000002-2-200000000000000-2-20020000200000
χ3522222-2-22222222222200-2-222-2-2-2-2222222-2-222000000000000000000-2-2-2-20000000022002222-2-2-2-200000000000-22200000000000000-2-200-20000200000
χ3622222-2-22222222222200-2-222-2-2-2-2222222-2-222000000000000000000-2-2-2-200000000-2-2002222-2-2-2-2000000000002-2-200000000000000220020000-200000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1000022-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000000-1-1-1-1-1-1-1-1-1222-1-1000000000000000022-1-1-1-1-1000-100
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1000022-1-122222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000000000-1-1-1-1-1-1-1-1-1-2-2-2110000000000000000-2-211111000100
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000-2-2-1-12222-2-2-2-211-2-2-2-2-1-1-1-1111111112200000000001-1-1-1-11111222-1-10000000000000000-2-2-1-1-111000100
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000-2-2-1-12222-2-2-2-211-2-2-2-2-1-1-1-111111111-2-200000000001-1-1-1-11111-2-2-211000000000000000022111-1-1000-100
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100002-211-2-2-2-2222211-2-2-2-2-1-1-1-111111111220000000000-11111-1-1-1-1-2-22-1-100000000000000002-2-11111000-100
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100002-211-2-2-2-2222211-2-2-2-2-1-1-1-111111111-2-20000000000-11111-1-1-1-122-2110000000000000000-221-1-1-1-1000100
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-10000-2211-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000000000111111111-2-22-1-10000000000000000-22-111-1-1000100
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-10000-2211-2-2-2-2-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2000000000011111111122-21100000000000000002-21-1-111000-100
χ452-22-222-222-2-22-2-22-22-200-222222-2-2-2-2-2-2222i−2i2i−2i000000000000000000-2-2220000000000002i−2i2i−2i2i−2i2i−2i0000000002-200000000000000000000002-20002i−2i000
χ462-22-222-222-2-22-2-22-22-200-222222-2-2-2-2-2-2222i−2i2i−2i000000000000000000-2-2220000000000002i−2i2i−2i2i−2i2i−2i000000000-220000000000000000000000-22000−2i2i000
χ472-22-222-222-2-22-2-22-22-200-222222-2-2-2-2-2-222−2i2i−2i2i000000000000000000-2-222000000000000−2i2i−2i2i−2i2i−2i2i0000000002-200000000000000000000002-2000−2i2i000
χ482-22-222-222-2-22-2-22-22-200-222222-2-2-2-2-2-222−2i2i−2i2i000000000000000000-2-222000000000000−2i2i−2i2i−2i2i−2i2i000000000-220000000000000000000000-220002i−2i000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.