Finite Group Databasebeta

← Group #14460014

Character table — Group #14460014

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size11112222222222222222222222222222444444444444444444444444444444444444444444444444444666666666666666666668888888888888888888888888881212121212121212121212121212121212121212121212121212121212122020202020204040404040404040406060120120120
order1222344444444556661010101010102020202020202020224101010101010101012121212121212121515202020202020202020202020202020203030303030306060606060606060888840404040404040404040404040404040661230303030303030306060606060606060606060606060606088888840404040404040404040404040404040404040404040404022666644412121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ51111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111-1-1-1-111-1-111-11-1
χ61111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-11
χ71111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-111-1-1-1-11-11
χ81111111-1-1-1-11111111111111111111111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-11111-1-11111-11-1
χ911111-1-111-1-1111111111111111111111-11-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-11111-1-11
χ1011111-1-111-1-1111111111111111111111-11-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11-111111-1-1-1-111-1
χ1111111-1-111-1-1111111111111111111111-11-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1111111-11-1-1-1-1-111-1-111-1
χ1211111-1-111-1-1111111111111111111111-11-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-11
χ1311111-1-1-1-111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111-1-1-1-1111-1-1
χ1411111-1-1-1-111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-111
χ1511111-1-1-1-111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111-1-1111-1-1-1-1-1-1-111
χ1611111-1-1-1-111111111111111111111111-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111-1-1-11111111-1-1
χ172222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000000000000000
χ182222222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222−1−52−1−52−1+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+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521+521+521+521+521+521+521−521−521−521−521−521−521−521−52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+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+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200000000000000000000
χ192222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+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+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000000000000000
χ202222222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521−521−521−521−521−521−521+521+521+521+521+521+521+521+52222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200000000000000000000
χ2122222222222-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222222222-2-222-2-222222222222222-2-2-2-2-2-2-2-200000000000000000000-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22222222200000000000000000000000000000000000000000000000000
χ2222222222222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2-21+521+521−521−521+521+521−521−5222-2-22222−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94-2-2-21+521+521−521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ9400000000000000000000
χ2322222222222-2-2−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−521+521+521−521−52-2-2-21+521+521−521−521+521+521−521−5222-2-22222−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−520000ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94-2-2-21+521+521−521−521+521+521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ94ζ22−ζ38+ζ62−ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94ζ14−ζ46−ζ86+ζ9400000000000000000000
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χ17688-8-8-400000000−2+25−2−25-4442−25−2+252+25−2−252−252+25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ11800000000000000000001−51+50000000000000000−1+51−5−1−51+5−1+5−1−52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1778-88-8-40000008-8−2−25−2+2544-42+252+252−252−25−2−25−2+25−2−25−2−25−2+25−2+252+252+252−252−250000000000000-4400001+51−50000000000000000−1−5−1−5−1+5−1+51+51−51+51+5−1−5−1−51−51−5−1+5−1+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1788-88-8-40000008-8−2+25−2−2544-42−252−252+252+25−2+25−2−25−2+25−2+25−2−25−2−252−252−252+252+250000000000000-4400001−51+50000000000000000−1+5−1+5−1−5−1−51−51+51−51−5−1+5−1+51+51+5−1−5−1−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1798-88-8-4000000-88−2−25−2+2544-42+252+252−252−25−2−25−2+252+252+252−252−25−2−25−2−25−2+25−2+2500000000000004-400001+51−50000000000000000−1−5−1−5−1+5−1+51+51−5−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1808-88-8-4000000-88−2+25−2−2544-42−252−252+252+25−2+25−2−252−252−252+252+25−2+25−2+25−2−25−2−2500000000000004-400001−51+50000000000000000−1+5−1+5−1−5−1−51−51+5−1+5−1+51−51−5−1−5−1−51+51+50000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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