Finite Group Databasebeta

← Group #14510006

Character table — Group #14510006

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1122222222222224444444444444444466888888888888888888121212121212121212121220202020242424243030303040404040606011222222222222244444444444444444668888888888888888881212121212121212121212202020202424242430303030404040406060
order12234455610102020202024610101212151520203030606060608861010122020303030303030606060606060248404040404040404022881010202022446624242222264410106101020202020246101012123030202030306060606088610101220203030303030306060606060602484040404040404040228810102020224466242422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ6111111111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-111-1-1111111111111111-1-111111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111-1-111-1-1-1-11111-1-111-1-1
χ7111111111111111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1111111111111111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ8111111111111111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ911-11-1111111-1-1-1-11-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-11-11-111-1-11-11-11-11-11-111-11-1111111-1-1-1-11-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-11-11-111-1-11-11-11-11-11-1
χ1011-11-1111111-1-1-1-11-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-1-11-1111-1-1-11-11-11-11-1111-11-1111111-1-1-1-11-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1111111-1-1-1-11-1-11111-1-1-1-1-11-1111-1-1-11-11-11-11-11
χ1111-11-1111111-1-1-1-11-1-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-111111-11-1-1-111-11-111-11-1-1111-11-1111111-1-1-1-11-1-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-111111-11-1-1-111-11-111-11-1-11
χ1211-11-1111111-1-1-1-11-1-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-11-11-1-1111-11-1-11-111-111-11-1111111-1-1-1-11-1-1-1-1-11111111-1-1-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-11111-11-11-1-1111-11-1-11-111-1
χ1311-11-1111111-1-1-1-1-11-1-1-1-11111111-1-1-1-111-1-1-1111-1-1-1-1-1-1111111-11-11111-1-1-1-11-1-11-1-111-11-111-1-111-111-11-1111111-1-1-1-1-11-1-1-1-11111111-1-1-1-111-1-1-1111-1-1-1-1-1-1111111-11-11111-1-1-1-11-1-11-1-111-11-111-1-111-1
χ1411-11-1111111-1-1-1-1-11-1-1-1-11111111-1-1-1-111-1-1-1111-1-1-1-1-1-1111111-11-11111-1-1-1-1-111-1-1-1111-11-1-111-1-1111-11-1111111-1-1-1-1-11-1-1-1-11111111-1-1-1-111-1-1-1111-1-1-1-1-1-1111111-11-11111-1-1-1-1-111-1-1-1111-11-1-111-1-11
χ1511-11-1111111-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-1-1-1-111111-1-1111-1-11-11-11-1-11-1111-11-1111111-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-1-1-1-111111-1-1111-1-11-11-11-1-11-11
χ1611-11-1111111-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-1-1-1-11111-111-111-1-1-11-11-111-11-111-11-1111111-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-11-1-1-1-11111-111-111-1-1-11-11-111-11-1
χ17222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+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+520000−1−52−1+52−1−52−1+520000000000222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+522−1−52−1+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+520000−1−52−1+52−1−52−1+520000000000
χ18222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−5200001+521−521+521−520000000000222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52222−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+522−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521+521−521−5200001+521−521+521−520000000000
χ19222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−520000000000222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200001+521−521+521−520000000000
χ20222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−5222-21+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+520000000000222222−1−52−1+522−1−52−1+52−1−52−1−52−1+52−1+52-2-22−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−5222-21+521+521−521−521+521+521−521−520000−1−52−1+52−1−52−1+520000000000
χ21222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−52−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−520000000000222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−522−1+52−1−52−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−520000000000
χ22222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+5200001−521+521−521+520000000000222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52222−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−522−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521−521+521+5200001−521+521−521+520000000000
χ23222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+520000000000222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52-2-22−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200001−521+521−521+520000000000
χ24222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+5222-21−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−520000000000222222−1+52−1−522−1+52−1−52−1+52−1+52−1−52−1−52-2-22−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+5222-21−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−520000000000
χ252222-2-222222-2-2-2-200222-2-222-2-222-2-2-2-200000000220000-2-2000000000000000000000002-2-220000002222-2-222222-2-2-2-200222-2-222-2-222-2-2-2-200000000220000-2-2000000000000000000000002-2-22000000
χ262222-2-222222-2-2-2-200222-2-222-2-222-2-2-2-200000000220000-2-200000000000000000000000-222-20000002222-2-222222-2-2-2-200222-2-222-2-222-2-2-2-200000000220000-2-200000000000000000000000-222-2000000
χ27222-12222-122222222-122-1-1-1-122-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-100000000000222200000000-1-1-1-100222-12222-122222222-122-1-1-1-122-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-100000000000222200000000-1-1-1-100
χ28222-12222-122222222-122-1-1-1-122-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-2-2-200000000111100222-12222-122222222-122-1-1-1-122-1-1-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-2-2-200000000111100
χ29222-12222-1222222-2-2-122-1-1-1-122-1-1-1-1-1-1001-2-21-2-2-1-11111-1-111110000000000022-2-200000000-1-11100222-12222-1222222-2-2-122-1-1-1-122-1-1-1-1-1-1001-2-21-2-2-1-11111-1-111110000000000022-2-200000000-1-11100
χ30222-12222-1222222-2-2-122-1-1-1-122-1-1-1-1-1-1001-2-21-2-2-1-11111-1-1111100000000000-2-2220000000011-1-100222-12222-1222222-2-2-122-1-1-1-122-1-1-1-1-1-1001-2-21-2-2-1-11111-1-1111100000000000-2-2220000000011-1-100
χ3122-222-222222222200-2-2-22-222-2-222222200000000-2-20000-2-20000000000000000000000022-2-200000022-222-222222222200-2-2-22-222-2-222222200000000-2-20000-2-20000000000000000000000022-2-2000000
χ3222-222-222222222200-2-2-22-222-2-222222200000000-2-20000-2-200000000000000000000000-2-22200000022-222-222222222200-2-2-22-222-2-222222200000000-2-20000-2-200000000000000000000000-2-222000000
χ3322-22-22−1−52−1+522−1−52−1+521+521+521−521−522-2-21+521−52-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52222−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−522-2-2−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−52000000000022-22-22−1−52−1+522−1−52−1+521+521+521−521−522-2-21+521−52-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52222−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−522-2-2−1−52−1−52−1+52−1+521+521+521−521−520000−1−52−1+521+521−520000000000
χ3422-22-22−1−52−1+522−1−52−1+521+521+521−521−522-2-21+521−52-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-22−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52-2221+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+52000000000022-22-22−1−52−1+522−1−52−1+521+521+521−521−522-2-21+521−52-22−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-22−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−52-2221+521+521−521−52−1−52−1−52−1+52−1+5200001+521−52−1−52−1+520000000000
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χ1608-80-400−2−25−2+2542+252−254ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ118−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ9400000001+51−500−1−5−1+5−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1182ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ940000000000000000000000000000000000000000000000000-8804002+252−25-4−2−25−2+25−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1184ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ940000000−1−5−1+5001+51−52ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ118−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ940000000000000000000000000000000000000000000000000
χ1618-80-400−2+25−2−2542−252+254ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ11800000001−51+500−1+5−1−5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1180000000000000000000000000000000000000000000000000-8804002−252+25-4−2+25−2−25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ1180000000−1+5−1−5001−51+52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1180000000000000000000000000000000000000000000000000
χ1628-80-400−2+25−2−2542−252+25−4ζ14+4ζ46+4ζ86−4ζ944ζ14−4ζ46−4ζ86+4ζ94−4ζ22+4ζ38−4ζ62+4ζ1184ζ22−4ζ38+4ζ62−4ζ11800000001−51+500−1+5−1−52ζ14−2ζ46−2ζ86+2ζ94−2ζ14+2ζ46+2ζ86−2ζ942ζ22−2ζ38+2ζ62−2ζ118−2ζ22+2ζ38−2ζ62+2ζ1180000000000000000000000000000000000000000000000000-8804002−252+25-4−2+25−2−254ζ14−4ζ46−4ζ86+4ζ94−4ζ14+4ζ46+4ζ86−4ζ944ζ22−4ζ38+4ζ62−4ζ118−4ζ22+4ζ38−4ζ62+4ζ1180000000−1+5−1−5001−51+5−2ζ14+2ζ46+2ζ86−2ζ942ζ14−2ζ46−2ζ86+2ζ94−2ζ22+2ζ38−2ζ62+2ζ1182ζ22−2ζ38+2ζ62−2ζ1180000000000000000000000000000000000000000000000000

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