Finite Group Databasebeta

← Group #14458322

Character table — Group #14458322

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size1111222222222222222244444444444444444444444444444444444888888888888888888888888888888888888881010101012121212202020202020242424242424242424243030303040404040404040404848484860606060120
order1222223445566610101010101044466101010101212121212121515202020203030303030303030303030303030412121220202020202020202020606060606060606060606060606060606060606060606060224488884466121224404040404040404088882466121212121010202022882
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111-1-111111111-1-1-1-111111111111111111111-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1
χ6111111111111111111111-1-111111111-1-1-1-111111111111111111111-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-11
χ7111111111111111111111-1-111111111-1-1-1-111111111111111111111-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-111-1-11
χ8111111111111111111111-1-111111111-1-1-1-111111111111111111111-11-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-111-1
χ91111-1-111111111111111-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1111-1-1-111111-1-1-1-1-1-1-1-1-11-1-1-1111-1-111-1-1111
χ101111-1-111111111111111-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1111-1-11-1-1-1-1-111111111-11-1-1-111111-1-111-1-1-1
χ111111-1-111111111111111-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-1-111-111111-1-1-1-111111-1111-1-1-1-1-11111-1-1-1
χ121111-1-111111111111111-111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1111-1-1-1-1-11111-1-1-1-11-1111-1-1-111-1-1-1-1111
χ131111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1111-1-11-11111-1-1-1-1-1-1-1-11-111-11-1-111-1-11111-1
χ141111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1111-1-1-11-1-1-1-1111111111-111-11-1-1-1-111-1-1-1-11
χ151111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-11-1-1-1111-11111-1-1-1-11111-11-1-11-11111-1-1-1-1-1-11
χ161111-1-111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1111-1-1-111-11-1-1-1-11111-1-1-1-1-11-1-11-111-1-1111111-1
χ17222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52222222−1−52−1+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+52−1−52−1+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+52−1−52−1−52−1+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+52−1+52−1+520000222200000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000−1−52−1+52−1−52−1+5200000
χ18222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222222−1−52−1−52−1+52−1+52222222−1−52−1+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+52−1−52−1+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+52−1−52−1−52−1+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+52−1+52−1+520000-2-2-2-2000000-2-21+521+521−521−521+521+521−521−520000000000001+521−521+521−5200000
χ19222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-222−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+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+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200002222000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000001+521−521+521−5200000
χ20222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-222−1−52−1−52−1+52−1+5222-2-2-2-2−1−52−1+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+52−1−52−1+52−1−52−1+52-22-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-2-2-2-2000000221+521+521−521−521+521+521−521−52000000000000−1−52−1+52−1−52−1+5200000
χ21222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000222200000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000−1+52−1−52−1+52−1−5200000
χ22222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222222−1+52−1+52−1−52−1−52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-2000000-2-21−521−521+521+521−521−521+521+520000000000001−521+521−521+5200000
χ23222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-222−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200002222000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000001−521+521−521+5200000
χ24222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-222−1+52−1+52−1−52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1−52−1+52−1−52-22-2-2−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000-2-2-2-2000000221−521−521+521+521−521−521+521+52000000000000−1+52−1−52−1+52−1−5200000
χ252222222-2-222222222222-200222222-2-2000022-2-2-2-2222222222222220-200-2-200000000-2-2-2-2-2-2-2-2000000000000000022220000-2-22222000000000000000000-2-200000000000
χ262222222-2-222222222222-200222222-2-2000022-2-2-2-2222222222222220-200-2-200000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2000022-2-2-2-20000000000000000002200000000000
χ27222222-12222-1-1-1222222222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222000022-1-1-1-10000000000000022-1-1-1-1-1-1000000000
χ28222222-12222-1-1-1222222222-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2111100000000000000-2-2111111000000000
χ29222222-12222-1-1-12222222-2-2-1-12222-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-11122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222000022-1-1-1-100000000000000-2-211-1-111000000000
χ30222222-12222-1-1-12222222-2-2-1-12222-1-11111-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-11122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-20000-2-211110000000000000022-1-111-1-1000000000
χ31222222-1-2-222-1-1-1222222-200-1-1222211−i3−i3i3i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-101−i3i3-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i322220000-2-2-1-1-1-10000000000000000−i3i311−i3i3000000000
χ32222222-1-2-222-1-1-1222222-200-1-1222211−i3−i3i3i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-101−i3i3-2-20000000011111111−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3-2-2-2-200002211110000000000000000i3−i3-1-1i3−i3000000000
χ33222222-1-2-222-1-1-1222222-200-1-1222211i3i3−i3−i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-101i3−i3-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i322220000-2-2-1-1-1-10000000000000000i3−i311i3−i3000000000
χ34222222-1-2-222-1-1-1222222-200-1-1222211i3i3−i3−i3-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-101i3−i3-2-20000000011111111i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3-2-2-2-200002211110000000000000000−i3i3-1-1−i3i3000000000
χ352222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52-2-2-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000022-2-2000000-22−1−52−1−52−1+52−1+521+521+521−521−520000000000001+521−52−1−52−1+5200000
χ362222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-222-2-21+521+521−521−52222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+52-2-2-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000-2-2220000002-21+521+521−521−52−1−52−1−52−1+52−1+52000000000000−1−52−1+521+521−5200000
χ372222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-21+521+521−521−5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+522-2221+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022-2-20000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000000−1−52−1+521+521−5200000
χ382222-2-2222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-21+521+521−521−5222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52−1−52−1+52−1−52−1+522-2221+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-222000000-221+521+521−521−52−1−52−1−52−1+52−1+520000000000001+521−52−1−52−1+5200000
χ392222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52-2-2-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52000022-2-2000000-22−1+52−1+52−1−52−1−521−521−521+521+520000000000001−521+52−1+52−1−5200000
χ402222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-222-2-21−521−521+521+52222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−52-2-2-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+520000-2-2220000002-21−521−521+521+52−1+52−1+52−1−52−1−52000000000000−1+52−1−521−521+5200000
χ412222-2-2222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-2-21−521−521+521+5222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1−52−1+52−1−522-2221−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022-2-20000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000000−1+52−1−521−521+5200000
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χ13388-8-800-400−2+25−2−25-444−2+25−2−252−252+252−252+250000000000000001−51+500001−51+5−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ1162ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ116−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ922ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ92−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13488-8-800-400−2+25−2−25-444−2+25−2−252−252+252−252+250000000000000001−51+500001−51+52ζ4−2ζ44−2ζ76+2ζ116−2ζ4+2ζ44+2ζ76−2ζ116−2ζ4+2ζ44+2ζ76−2ζ1162ζ4−2ζ44−2ζ76+2ζ1162ζ28−2ζ52−2ζ68+2ζ92−2ζ28+2ζ52+2ζ68−2ζ92−2ζ28+2ζ52+2ζ68−2ζ922ζ28−2ζ52−2ζ68+2ζ92−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1358-8-888-8-400−2−25−2+2544-42+252−252+252−25−2−25−2+25000-44−2−252+25−2+252−250000001+51−50000−1−5−1+51+51+5−1−5−1−51−51−5−1+5−1+5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1368-8-888-8-400−2+25−2−2544-42−252+252−252+25−2+25−2−25000-44−2+252−25−2−252+250000001−51+50000−1+5−1−51−51−5−1+5−1+51+51+5−1−5−1−5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-88-400−2−25−2+2544-42+252−252+252−25−2−25−2+250004-42+25−2−252−25−2+250000001+51−50000−1−5−1+5−1−5−1−51+51+5−1+5−1+51−51−5−1−5−1+51+51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-8-88-88-400−2+25−2−2544-42−252+252−252+25−2+25−2−250004-42−25−2+252+25−2−250000001−51+50000−1+5−1−5−1+5−1+51−51−5−1−5−1−51+51+5−1+5−1−51−51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000

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