Finite Group Databasebeta

← Group #14483217

Character table — Group #14483217

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size1122222224444445510101011222222244444455101010224444444888888101020202022444444488888810102020202244444448888881010202020224444444888888101020202022444444488888810102020206612121212121212242424242424303060606066121212121212122424242424243030606060
order1244455101020202020202044222224441010101020202020202044222361212121515303060606060606012126664444420202020202020202020444446612121230303030606060606060121266612121212126060606060606060606012121212121212121212606060606060606060601212121212224441010101020202020202044222224441010101020202020202044222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1
χ3111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1
χ4111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111
χ511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1
χ611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11
χ711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11
χ811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1
χ922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000
χ1022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000
χ11222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000
χ12222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000
χ1322-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+520000022-22-2−1+52−1−52−1+52−1−521−521+52−1+52−1−521−521+5200000
χ1422-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−520000022-22-2−1−52−1+52−1−52−1+521+521−52−1−52−1+521+521−5200000
χ1522-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−520000022-2-22−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1−5200000
χ1622-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+520000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000
χ172-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i0002-200022-2-20000002i−2i000
χ182-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i0002-200022-2-2000000−2i2i000
χ194-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+5000000000004-4000−1+5−1−51−51+500000000000
χ204-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−5000000000004-4000−1−5−1+51+51−500000000000
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ22111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ23111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1111-1-1111111-1-1-1-1111-1-1-1-1-111-1-1-1-1-1-11111-1-1-111-1-1-111-1-1-1-1-1-11111-1-1-111
χ24111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111111-1-1111111-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-11111111-1-1-1-1-111-1-1-1-1-1-11111111-1-1
χ2511-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-111-11-11111-1-111-1-111-11-1-1-11-11-1-1-1-111-1-111-1-11-11-1-11-11-1-1-1-111-1-111-1-11-11
χ2611-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-1111-11-11111-1-111-1-1-1-11-11-1-11-11-1-1-1-111-1-11111-11-1-1-11-11-1-1-1-111-1-11111-11-1
χ2711-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-1111-1-111111-1-1-1-11111-1-11-1-111-1-1-1-1-11111-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-111-1
χ2811-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-111-1-111111-1-1-1-111-1-111-1-1-111-1-1-1-1-11111-1-111-1-11-1-111-1-1-1-1-11111-1-111-1-11
χ2922222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000022222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−5200000-2-2-2-2-21−521+521−521+521−521+521−521+521−521+5200000-2-2-2-2-21−521+521−521+521−521+521−521+521−521+5200000
χ3022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000022222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000-2-2-2-2-21+521−521+521−521+521−521+521−521+521−5200000-2-2-2-2-21+521−521+521−521+521−521+521−521+521−5200000
χ31222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000222-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+5200000-2-2-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000-2-2-2221−521+521−521+521−521+52−1+52−1−52−1+52−1−5200000
χ32222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000222-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−5200000-2-2-2221+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000-2-2-2221+521−521+521−521+521−52−1−52−1+52−1−52−1+5200000
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χ17644-4-44−1−5−1+5−1−5−1+51+51−51+51−5−1−5−1+500000-4-444-41+51−51+51−5−1−5−1+5−1−5−1+51+51−500000-2-222-21+521−521+521−52−1−52−1+52−1−52−1+521+521−52000000000000000000000000022-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+5200000−23−232323−23ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47000002323−23−2323−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47ζ11−ζ19−ζ31+ζ59−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ7−ζ23+ζ43−ζ47000000000000000000000000000000000000000000000
χ1774-400044-4-40000004i−4i000-44000-4-444000000−4i4i000-22000-2-222000000−2i2i000000000000000000000002-200022-2-20000002i−2i000−2323000−23−232323000000−2i32i300023−230002323−23−230000002i3−2i30000000000000000000000000000000000000000000
χ1784-400044-4-4000000−4i4i000-44000-4-4440000004i−4i000-22000-2-2220000002i−2i000000000000000000000002-200022-2-2000000−2i2i000−2323000−23−2323230000002i3−2i300023−230002323−23−23000000−2i32i30000000000000000000000000000000000000000000
χ1798-8000−2+25−2−252−252+2500000000000-880002−252+25−2+25−2−2500000000000-440001−51+5−1+5−1−500000000000000000000000000000004-4000−1+5−1−51−51+500000000000−4343000−2ζ7+2ζ23−2ζ43+2ζ472ζ11−2ζ19−2ζ31+2ζ592ζ7−2ζ23+2ζ43−2ζ47−2ζ11+2ζ19+2ζ31−2ζ590000000000043−430002ζ7−2ζ23+2ζ43−2ζ47−2ζ11+2ζ19+2ζ31−2ζ59−2ζ7+2ζ23−2ζ43+2ζ472ζ11−2ζ19−2ζ31+2ζ59000000000000000000000000000000000000000000000000000
χ1808-8000−2−25−2+252+252−2500000000000-880002+252−25−2−25−2+2500000000000-440001+51−5−1−5−1+500000000000000000000000000000004-4000−1−5−1+51+51−500000000000−43430002ζ11−2ζ19−2ζ31+2ζ59−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ7−2ζ23+2ζ43−2ζ470000000000043−43000−2ζ11+2ζ19+2ζ31−2ζ592ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ7+2ζ23−2ζ43+2ζ47000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.