Finite Group Databasebeta

← Group #14458352

Character table — Group #14458352

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156
size1111222222222222222222222222444444444444444444444444444444444446666888888888888888888888888888888888888101010101212121212121212121212121212121212121212202020202020242424242424242424404040404040404060606060120120
order1222344445566610101010101020202020202020202246666121212121515202020202020202030303030303060606060606060608888410101010121212202020203030303030303030606060606060606060606060606060602222448840404040404040404040404040404040446666210101010202020202266661212888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111111111111111111111111111-1-11-1-1-1-111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ61111111111111111111111111111-1-11-1-1-1-111111111111111111111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111
χ71111111111111111111111111111-1-11-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-111
χ81111111111111111111111111111-1-11-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-11111-1-1
χ911111-1-11111111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1-111111-111-1-11-111-1-11-1
χ1011111-1-11111111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-11111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-11111-11-1-111-11-1-111-11
χ1111111-1-11111111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111-111-1-111111-1-1-1-11-111-1-11-1-1-111-11
χ1211111-1-11111111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-11-1-11111111-1-1-1-1-11-1-111-1111-1-11-1
χ1311111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111111-1-1-1-1-11-1-1111-111-1-1-11
χ1411111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11-111-1-1-11-1-1111-1
χ1511111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-11111-11-1-1111-1-1-1111-1
χ1611111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-111111111-11-1-111-1-1-1-1-111111-111-1-1-1111-1-1-11
χ17222222222−1−52−1+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+5222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200002222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ18222222222−1−52−1+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+5222222222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-22−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−52000000-21+521+521−521−521+521+521−521−5200000000000000
χ19222222222−1−52−1+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+52-2-22-2-2-2-22222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222-21+521+521−521−522-2-21+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+521+521+521+521+521−521−521−521−520000-2-222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+521+521−521−521+521+521−521−5200000000000000
χ20222222222−1−52−1+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+52-2-22-2-2-2-22222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-21+521+521−521−522-2-21+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+521+521+521+521+521−521−521−521−52000022-2-21+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000002−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000000000
χ21222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222−1+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+52−1−52−1−52−1−52−1−5200002222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ22222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222222222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-22−1+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+52−1−52−1−52−1−52−1−520000-2-2-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+52000000-21−521−521+521+521−521−521+521+5200000000000000
χ23222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-2-2-22222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222-21−521−521+521+522-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+520000-2-222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-21−521−521+521+521−521−521+521+5200000000000000
χ24222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-22-2-2-2-22222−1+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+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-21−521−521+521+522-2-21−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52000022-2-21−521−521−521−521+521+521+521+521−521−521−521−521+521+521+521+520000002−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000000000
χ252222222-2-2222222222222222222200-2000022-2-222-2-2-2-2-2-2-2-222222222222222000000000-200000000000000-2-2-2-2-2-2-2-200000000222200000000000000000000-2-22222000000000000000-2-2000000
χ262222222-2-2222222222222222222200-2000022-2-222-2-2-2-2-2-2-2-222222222222222000000000-200000000000000-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000022-2-2-2-200000000000000022000000
χ2722222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-22222-2-222−1−52−1+521+521+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+521−521−521−521−522222-2−1−52−1−52−1+52−1+52-2-2-21+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+521−521−521−521−52000022-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000000-21+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
χ2822222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222-22222-2-222−1−52−1+521+521+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+521−521−521−521−52-2-2-2-2-2−1−52−1−52−1+52−1+52-2-2-21+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+521−521−521−521−520000-2-2221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ2922222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-2-2-2-2-2-222−1−52−1+521+521+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+521−521−521−521−52222221+521+521−521−52-222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-2−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000002−1−52−1−52−1+52−1+521+521+521−521−5200000000000000
χ3022222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-2-2-2-2-2-2-2-222−1−52−1+521+521+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+521−521−521−521−52-2-2-2-221+521+521−521−52-222−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022221+521+521+521+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+521+521−521−52−1−52−1−52−1+52−1+5200000000000000
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χ15188-8-8-40000−2+25−2−25-4442−25−2+252+25−2−252−252+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+4ζ62−4ζ118000000000001−51+500000000−1+51−5−1−51+5−1+5−1−5−2ζ14+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+2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ15288-8-8-40000−2+25−2−25-4442−25−2+252+25−2−252−252+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+4ζ118000000000001−51+500000000−1+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+2ζ62−2ζ118000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1538-8-88-48-800−2−25−2+254-442+252+252−252−25−2−25−2+25−2−252+25−2−252+25−2+252−25−2+252−250000000-44001+51−500000000−1−5−1−5−1+5−1+51+51−51+5−1−51+5−1−51−5−1+51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1548-8-88-48-800−2+25−2−254-442−252−252+252+25−2+25−2−25−2+252−25−2+252−25−2−252+25−2−252+250000000-44001−51+500000000−1+5−1+5−1−5−1−51−51+51−5−1+51−5−1+51+5−1−51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1558-8-88-4-8800−2−25−2+254-442+252+252−252−25−2−25−2+252+25−2−252+25−2−252−25−2+252−25−2+2500000004-4001+51−500000000−1−5−1−5−1+5−1+51+51−5−1−51+5−1−51+5−1+51−5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1568-8-88-4-8800−2+25−2−254-442−252−252+252+25−2+25−2−252−25−2+252−25−2+252+25−2−252+25−2−2500000004-4001−51+500000000−1+5−1+5−1−5−1−51−51+5−1+51−5−1+51−5−1−51+5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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