Finite Group Databasebeta

← Group #14435795

Character table — Group #14435795

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222222244444444444444446666888888888888888888888888888888121212121212121212121616161616161616162020202020202020242424242424242424242424242440404040404060606060606080120
order122234455666101010101010441212151520202020303030303030444428101010101212202020202424404040406060606012012012012012012012012022202020202020202063030303060606060224488121248101010102020202040404040466122424244488124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111
χ51111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1
χ61111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-11
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1111-1-1-1-1-1-111-11
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1111111111-1-1-1111111-1-11-1
χ9111111111111111111-1-11111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-111-1-111-1-11-1-1-1-1-11111-1-1-1-1-111-111-1-11111-1-1
χ10111111111111111111-1-11111111111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-111-1-1111-1-1-1-1-11111-1-1-1-11-1-11-1-111-1-1-1-111
χ11111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-1-1-1-1-111-1-111
χ12111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1-1-111111-1-111-1-1
χ13111111111111111111-1-111111111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-111-1-1-111111-1-1-1-11111-111-11111-1-1-1-1-11
χ14111111111111111111-1-111111111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-111-111111-1-1-1-111111-1-11-1-1-1-111111-1
χ15111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-111111111-1-1-1-1111-1-1-111-1-1111-1
χ16111111111111111111-1-111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-111111111-1-1-1-1-1-1-1111-1-111-1-1-11
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+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+5222−1−52−1−52−1+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+520000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
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+522222-2-21+521+521−521−5222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−52−1−52−1−52−1+52−1+5200000000-2-2−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
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+52-2-2-2-222−1−52−1−52−1+52−1+5222−1−52−1−52−1+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+52-2-21+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000-2-21+521+521−521−521+521+521−521−521+521+521−521−5200000000000000
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+52-2-2-2-2-2-21+521+521−521−5222−1−52−1−52−1+52−1+52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−521+521+521−521−52-21+521+521−521−52−1−52−1−52−1+52−1+5200000000221+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
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+5222222-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522−1−52−1−52−1+52−1+521+521+521−521−52000000002-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
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+522222-221+521+521−521−52-2-21+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+52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-21+521+521−521−521+521+521−521−5200000000-221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
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+52-2-2-2-22-2−1−52−1−52−1+52−1+52-2-21+521+521−521−52-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521+521+521+521−521−521−521−52221+521+521−521−521+521+521−521−522−1−52−1−52−1+52−1+521+521+521−521−5200000000-22−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
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+52-2-2-2-2-221+521+521−521−52-2-21+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+52221+521+521−521−521+521+521−521−52-21+521+521−521−521+521+521−521−52000000002-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
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+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+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+52−1−52−1−520000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
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+52−1−522222-2-21−521−521+521+5222−1+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+5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+52−1+52−1+52−1−52−1−5200000000-2-2−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000000000
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+52−1−52-2-2-2-222−1+52−1+52−1−52−1−5222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000-2-21−521−521+521+521−521−521+521+521−521−521+521+5200000000000000
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+52−1−52-2-2-2-2-2-21−521−521+521+5222−1+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+52-2-21−521−521+521+521−521−521+521+52-21−521−521+521+52−1+52−1+52−1−52−1−5200000000221−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
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+52−1−5222222-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522−1+52−1+52−1−52−1−521−521−521+521+52000000002-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
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+52−1−522222-221−521−521+521+52-2-21−521−521+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+52−1−52−1−52−1−52−1−52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-21−521−521+521+521−521−521+521+5200000000-221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
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+52−1−52-2-2-2-22-2−1+52−1+52−1−52−1−52-2-21−521−521+521+52-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521−521−521−521+521+521+521+52221−521−521+521+521−521−521+521+522−1+52−1+52−1−52−1−521−521−521+521+5200000000-22−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
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+52−1−52-2-2-2-2-221−521−521+521+52-2-21−521−521+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+52−1−52−1−52−1−52−1−52221−521−521+521+521−521−521+521+52-21−521−521+521+521−521−521+521+52000000002-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+5200000000000000
χ3322222-2-22222222222200-2-222-2-2-2-222222222-2-2000000000000000000-2-2-2-200000000002222-2-2-2-2000000000002-2002200000000000000000-200-22000000
χ3422222-2-22222222222200-2-222-2-2-2-222222222-2-2000000000000000000-2-2-2-200000000002222-2-2-2-200000000000-2200-2-2000000000000000002002-2000000
χ3522222-2-22222222222200-2-222-2-2-2-2222222-2-222000000000000000000-2-2-2-20000000000-2-2-2-22222000000000002-2002200000000000000000-2002-2000000
χ3622222-2-22222222222200-2-222-2-2-2-2222222-2-222000000000000000000-2-2-2-20000000000-2-2-2-2222200000000000-2200-2-200000000000000000200-22000000
χ372222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000222222-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1222222-1-1000000000000002-1-1-1-1-1000000-10
χ382222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000222222-1-12222-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-1-1-1-1-1-1-1-1-1-2-2-2-2-2-21100000000000000-21111100000010
χ392222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1222211-2-2-2-2-1-1-1-111111111000000000011111-1-1-1-12222-2-2-1-100000000000000-2-1-1-11100000010
χ402222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-10000-2-2-2-2-2-2-1-1222211-2-2-2-2-1-1-1-111111111000000000011111-1-1-1-1-2-2-2-22211000000000000002111-1-1000000-10
χ412222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100002-2222211-2-2-2-211-2-2-2-2-1-1-1-1111111110000000000-1-1-1-1-1111122-2-2221100000000000000-2-1-11-1-100000010
χ422222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-100002-2222211-2-2-2-211-2-2-2-2-1-1-1-1111111110000000000-1-1-1-1-11111-2-222-2-2-1-100000000000000211-111000000-10
χ432222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-10000-22-2-2-2-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000011111111122-2-2-2-211000000000000002-1-1111000000-10
χ442222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-10000-22-2-2-2-211-2-2-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000111111111-2-22222-1-100000000000000-211-1-1-100000010
χ452-22-222-222-2-2222-2-2-2-200-222222-2-2-2-222-2-22i−2i2i−2i000000000000000000-2-22200000000002i−2i2i−2i2i−2i2i−2i0000000002-20000000000000000000002-2000002i−2i0000
χ462-22-222-222-2-2222-2-2-2-200-222222-2-2-2-222-2-22i−2i2i−2i000000000000000000-2-22200000000002i−2i2i−2i2i−2i2i−2i000000000-22000000000000000000000-2200000−2i2i0000
χ472-22-222-222-2-2222-2-2-2-200-222222-2-2-2-222-2-2−2i2i−2i2i000000000000000000-2-2220000000000−2i2i−2i2i−2i2i−2i2i0000000002-20000000000000000000002-200000−2i2i0000
χ482-22-222-222-2-2222-2-2-2-200-222222-2-2-2-222-2-2−2i2i−2i2i000000000000000000-2-2220000000000−2i2i−2i2i−2i2i−2i2i000000000-22000000000000000000000-22000002i−2i0000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.