Finite Group Databasebeta

← Group #14425347

Character table — Group #14425347

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147
size1122222222222222222224444444444444444444444444444444444444444444444888888888888888888888888888888882020202020202020202020202020202020202020202020202424242424242424242424242424242424242424120120120120
order1222234444556661010202020202244666666101010101010121212121212121215152020202020203030303030306060606060606060101010102020202030303030303030303030303060606060606060606060606022222244666666666666121212122488101010102020202040404040404040404488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1
χ6111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-111
χ7111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-1-1-111-1-1-1-11111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1
χ911-1-111-1-11111-1-1111-1-1-1-11-11-11-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-11-11111-1-1-1-111-1-111-1-11-11-11111-1-1-1-11111-1-1-1-11-11-1
χ1011-1-111-1-11111-1-1111-1-1-1-11-11-11-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-11-11111-1-1-1-111-1-111-1-1-11-11-1-1-1-11111-1-1-1-11111-11-11
χ1111-1-111-1-11111-1-1111-1-1-1-11-11-11-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-11-11-1-1-1-11111-1-111-1-1111-11-11111-1-1-1-11111-1-1-1-1-11-11
χ1211-1-111-1-11111-1-1111-1-1-1-11-11-11-111-1-111-1-1-1-111-1-111-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-111-11-11-1-1-1-11111-1-111-1-111-11-11-1-1-1-11111-1-1-1-111111-11-1
χ1311-1-111-1-11111-1-1111-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-11-111111-1-1-1-1-1-111-1-1111-1-111111-1-1-1-1-1-1-1-111111-1-11
χ1411-1-111-1-11111-1-1111-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-11-111111-1-1-1-1-1-111-1-111-111-1-1-1-1-111111111-1-1-1-1-111-1
χ1511-1-111-1-11111-1-1111-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-11-1-1-1-1-1111111-1-111-1-11-1-111111-1-1-1-1-1-1-1-11111-111-1
χ1611-1-111-1-11111-1-1111-1-1-1-1-11-111-1-1-11111-1-1-1-111-1-1-1-1111111-1-111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111-11-1-1-1-1-1111111-1-111-1-1-111-1-1-1-1-111111111-1-1-1-11-1-11
χ172222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+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+520000000000000000000000002222−1−52−1−52−1+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
χ182222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+522222222222−1−52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+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+52000000000000000000000000-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000
χ192222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200000000000000000000000022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000
χ202222222222−1−52−1+52222−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+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+52−1−52−1−52−1+52−1+521+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−52000000000000000000000000-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000
χ212222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000002222−1+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
χ222222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−522222222222−1+52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+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+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000000000-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000
χ232222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200000000000000000000000022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000
χ242222222222−1+52−1−52222−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+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+52−1−52−1−521−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+52000000000000000000000000-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000
χ25222222-2-2-2-22222222-2-2-2-20000220000222222-2-2-2-2000022-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000222200000000-2-2-2-2000000002-22-2000022-2-222-2-200000000000000000000000000000000
χ26222222-2-2-2-22222222-2-2-2-20000220000222222-2-2-2-2000022-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000222200000000-2-2-2-200000000-22-220000-2-222-2-22200000000000000000000000000000000
χ2722222-1222222-1-1-12222222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ2822222-1222222-1-1-12222222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ2922222-1222222-1-1-1222222-2-2-2-2-1-11111222222-1-1-1-11111-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ3022222-1222222-1-1-1222222-2-2-2-2-1-11111222222-1-1-1-11111-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ3122222-1-2-2-2-222-1-1-122-2-2-2-20000-1-1−i3i3−i3i32222221111−i3i3−i3i3-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-1−i3i3−i3i3−i3i3−i3i31111−i3i3−i3i3−i3i3−i3i32-22-20000-1-111-1-111−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ3222222-1-2-2-2-222-1-1-122-2-2-2-20000-1-1−i3i3−i3i32222221111−i3i3−i3i3-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-1−i3i3−i3i3−i3i3−i3i31111−i3i3−i3i3−i3i3−i3i3-22-22000011-1-111-1-1i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ3322222-1-2-2-2-222-1-1-122-2-2-2-20000-1-1i3−i3i3−i32222221111i3−i3i3−i3-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-1i3−i3i3−i3i3−i3i3−i31111i3−i3i3−i3i3−i3i3−i32-22-20000-1-111-1-111i3−i3i3−i3i3−i3i3−i3000000000000000000000000
χ3422222-1-2-2-2-222-1-1-122-2-2-2-20000-1-1i3−i3i3−i32222221111i3−i3i3−i3-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111100000000-1-1-1-1i3−i3i3−i3i3−i3i3−i31111i3−i3i3−i3i3−i3i3−i3-22-22000011-1-111-1-1−i3i3−i3i3−i3i3−i3i3000000000000000000000000
χ35222-2-222-22-22222222-2-2-2-222-2-2-2-22222-2-22-22-22-22-2-2-2-2-222-2-22222222222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ36222-2-222-22-22222222-2-2-2-2-2-222-2-2-2-2-2-2-2-22-22-22-22-2222222-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2222222222222000000000000000000000000000000000000000000000000
χ37222-2-222-22-2−1−52−1+52222−1−52−1+521+521+521−521−5222-2-2-2-222221+521−52−1−521+52−1+521−522-22-2-2-2-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+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+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000000000000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
χ38222-2-222-22-2−1−52−1+52222−1−52−1+521+521+521−521−5222-2-2-2-222221+521−52−1−521+52−1+521−522-22-2-2-2-2-2−1−52−1+521+521−52−1−52−1+52−1−52−1+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+521+521−521+521−521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−520000000000000000000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ39222-2-222-22-2−1−52−1+52222−1−52−1+521+521+521−521−52-2-222-2-2-2-2-2-21+521−52−1−521+52−1+521−522-22-22222−1−52−1+521+521−52−1−52−1+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+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+52−1−52−1−52−1+52−1+520000000000000000000000000000−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ580000
χ40222-2-222-22-2−1−52−1+52222−1−52−1+521+521+521−521−52-2-222-2-2-2-2-2-21+521−52−1−521+52−1+521−522-22-22222−1−52−1+521+521−52−1−52−1+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+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+52−1−52−1−52−1+52−1+520000000000000000000000000000ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58ζ14−ζ26+ζ34−ζ46−ζ14+ζ26−ζ34+ζ46−ζ2−ζ22+ζ38+ζ58ζ2+ζ22−ζ38−ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ58−ζ14+ζ26−ζ34+ζ46ζ14−ζ26+ζ34−ζ46ζ2+ζ22−ζ38−ζ58−ζ2−ζ22+ζ38+ζ580000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.