Finite Group Databasebeta

← Group #14435704

Character table — Group #14435704

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111122222222222222222222222222444444444444444444444444444444888888888888888888888888888888888888881212121212121212121212121212121212121212121212122020202024242424242424244040404040404040404060606060120120
order1222344444455666101010101010202020202020202012121212121215152020202020202020303030303030606060606060606088242424244040404040404040606060606060606012012012012012012012012012012012012012012012012024448888404040404040404040404040404040402244101020202020202024666612121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-111-1-11111-1-1
χ6111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-111
χ7111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1
χ911111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11-11111-1-1-1-111-1-1-11
χ1011111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11-1-1-1-11111-1-1111-1
χ1111111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111111-11111-1-1-1-1-1-1111-1
χ1211111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-11-1-1-1-1111111-1-1-11
χ1311111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1111-1-1-1-11111-1-11-1
χ1411111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1-1-111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-11-1-1-11111-1-1-1-111-11
χ1511111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1111-1-1-1-111-1-111-11
χ1611111-1-1-1-1111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11-1111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1-11111-1-111-1-11-1
χ1722222222222−1−52−1+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+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+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+52−1−52−1−52−1−52−1−52−1+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+520000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000
χ1822222222222−1−52−1+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+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+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200001+521−521+521−521+521+521−521−520000000000000000
χ1922222222222−1−52−1+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+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+52-2-2-2-2-2-21+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+521−521−521−521−522222-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000
χ2022222222222−1−52−1+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+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+52-2-2-2-2-2-21+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+521−521−521−521−52-2-2-2-22222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200001+521−521+521−521+521+521−521−520000000000000000
χ2122222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1+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+52−1−52−1−52−1−52−1−520000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000
χ2222222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+5200001−521+521−521+521−521−521+521+520000000000000000
χ2322222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+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+522222-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000
χ2422222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52222222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2-21−521−521+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+52-2-2-2-22222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200001−521+521−521+521−521−521+521+520000000000000000
χ252222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-222-2-2222222-2-2-2-2-2-2-2-20000000000000022-2-222-2-200000000000000002-2-2200000000000000000000000022-2-22-22-20000000000000000
χ262222222-2-2-2-222222222222-2-2-2-2-2-2-2-222-2-2-2-22222-2-222-2-2222222-2-2-2-2-2-2-2-20000000000000022-2-222-2-20000000000000000-222-2000000000000000000000000-2-222-22-220000000000000000
χ272222222-2-2-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2-2-2−1−52−1+52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94−1−52−1−521+521+52−1+52−1+521−521−52−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−ζ942-2-220000−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−ζ940000−1−52−1+521+521−52−1−521+52−1+521−520000000000000000
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χ1488-8-88-4000000−2−25−2+2544-42+252+25−2−252−252−25−2+254ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ118−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ940000001+51−500000000−1−5−1−51+5−1+5−1+51−5−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-88-4000000−2+25−2−2544-42−252−25−2+252+252+25−2−254ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1180000001−51+500000000−1+5−1+51−5−1−5−1−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-88-4000000−2+25−2−2544-42−252−25−2+252+252+25−2−25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ1180000001−51+500000000−1+5−1+51−5−1−5−1−51+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+2ζ62−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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