Finite Group Databasebeta

← Group #14509991

Character table — Group #14509991

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1122222222222224444444444444444466888888888888888888121212121212121212121220202020242424243030303040404040606011222222222222244444444444444444668888888888888888881212121212121212121212202020202424242430303030404040406060
order12234455610101010101022612121515202020203030303030308866101010103030303030303030606060602284040404040404040248810101010224461224242422264410106101010101010226121230302020202030303030303088661010101030303030303030306060606022840404040404040402488101010102244612242424
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
χ5111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ6111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-111-1-1-1-11111-1-111-1-1111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111-1-111-1-1-1-11111-1-111-1-1
χ7111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1
χ8111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111
χ911-11-11111-1-1-1-1111-1-1-1111-1-111-1-1-1-111111-111-1-11111-1-1-1-111-1-11-1-11111-1-1-1-11-11-111-1-11-11-11-11-11-111-11-11111-1-1-1-1111-1-1-1111-1-111-1-1-1-111111-111-1-11111-1-1-1-111-1-11-1-11111-1-1-1-11-11-111-1-11-11-11-11-11-1
χ1011-11-11111-1-1-1-1111-1-1-1111-1-111-1-1-1-111111-111-1-11111-1-1-1-111-1-11-1-11111-1-1-1-1-11-1111-1-1-11-11-11-11-1111-11-11111-1-1-1-1111-1-1-1111-1-111-1-1-1-111111-111-1-11111-1-1-1-111-1-11-1-11111-1-1-1-1-11-1111-1-1-11-11-11-11-11
χ1111-11-11111-1-1-1-1111-1-1-1111-1-111-1-1-1-111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-1-111111-11-1-1-111-11-111-11-1-1111-11-11111-1-1-1-1111-1-1-1111-1-111-1-1-1-111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-1-111111-11-1-1-111-11-111-11-1-11
χ1211-11-11111-1-1-1-1111-1-1-1111-1-111-1-1-1-111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-1-11111-11-11-1-1111-11-1-11-111-111-11-11111-1-1-1-1111-1-1-1111-1-111-1-1-1-111-1-11-111-1-11111-1-1-1-111-1-1-111-1-1-1-11111-11-11-1-1111-11-1-11-111-1
χ1311-11-11111-1-1-1-111-11-1-1111-1-111-1-1-1-11111-11-1-111-1-1-1-1111111-1-1-11-11111-1-1-1-11-1-11-1-111-11-111-1-111-111-11-11111-1-1-1-111-11-1-1111-1-111-1-1-1-11111-11-1-111-1-1-1-1111111-1-1-11-11111-1-1-1-11-1-11-1-111-11-111-1-111-1
χ1411-11-11111-1-1-1-111-11-1-1111-1-111-1-1-1-11111-11-1-111-1-1-1-1111111-1-1-11-11111-1-1-1-1-111-1-1-1111-11-1-111-1-1111-11-11111-1-1-1-111-11-1-1111-1-111-1-1-1-11111-11-1-111-1-1-1-1111111-1-1-11-11111-1-1-1-1-111-1-1-1111-11-1-111-1-11
χ1511-11-11111-1-1-1-111-11-1-1111-1-111-1-1-1-111-1-1-11-1-111-1-1-1-1111111-1-11-11-1-1-1-111111-1-1111-1-11-11-11-1-11-1111-11-11111-1-1-1-111-11-1-1111-1-111-1-1-1-111-1-1-11-1-111-1-1-1-1111111-1-11-11-1-1-1-111111-1-1111-1-11-11-11-1-11-11
χ1611-11-11111-1-1-1-111-11-1-1111-1-111-1-1-1-111-1-1-11-1-111-1-1-1-1111111-1-11-11-1-1-1-11111-111-111-1-1-11-11-111-11-111-11-11111-1-1-1-111-11-1-1111-1-111-1-1-1-111-1-1-11-1-111-1-1-1-1111111-1-11-11-1-1-1-11111-111-111-1-1-11-11-111-11-1
χ17222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+520000−1−52−1+52−1−52−1+520000000000222222−1−52−1+522−1−52−1−52−1+52−1+52−1−52−1+5222222−1−52−1+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+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+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1+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+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+5222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52-2-222−1−52−1+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+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+52-2-2222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-21+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+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+52-2-2222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222-2-21+521−521+521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+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+52-2-2222−1−52−1+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+521−521−52−1−52−1+52−1−52−1+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+52-2-2222−1−52−1+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+521−521−52−1−52−1+52−1−52−1+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+52−1−5222222−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−520000000000222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222222−1+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+52−1−52−1−520000−1+52−1−52−1+52−1−520000000000
χ22222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+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+52−1−52-2-2-21−521−521+521+521−521−521+521+5200001−521+521−521+520000000000222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−5222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52-2-222−1+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+52−1−52-2-2-21−521−521+521+521−521−521+521+5200001−521+521−521+520000000000
χ23222222−1+52−1−522−1+52−1+52−1−52−1−52−1+52−1−52-2-2222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-22−1+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+52−1−52-2-2222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222-2-21−521+521−521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52-2-22−1+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+52−1−52-2-2222−1+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+52−1+52−1−52−1+52−1−5222-21−521−521+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+52−1−52-2-2222−1+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+52−1+52−1−52−1+52−1−5222-21−521−521+521+521−521−521+521+520000−1+52−1−52−1+52−1−520000000000
χ252222-2-2222222222002-2-222-2-2-2-22222220000000000000000-2-2-2-200000000000000000002-2-220000002222-2-2222222222002-2-222-2-2-2-22222220000000000000000-2-2-2-200000000000000000002-2-22000000
χ262222-2-2222222222002-2-222-2-2-2-22222220000000000000000-2-2-2-20000000000000000000-222-20000002222-2-2222222222002-2-222-2-2-2-22222220000000000000000-2-2-2-20000000000000000000-222-2000000
χ27222-12222-122222222-1-1-1-1-12222-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000222200000000-1-1-1-100222-12222-122222222-1-1-1-1-12222-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000222200000000-1-1-1-100
χ28222-12222-122222222-1-1-1-1-12222-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-2-2-200000000111100222-12222-122222222-1-1-1-1-12222-1-1-1-1-1-100-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-2-2-200000000111100
χ29222-12222-1222222-2-2-1-1-1-1-12222-1-1-1-1-1-10011-2-2-2-211111111-1-1-1-10000000000022-2-200000000-1-11100222-12222-1222222-2-2-1-1-1-1-12222-1-1-1-1-1-10011-2-2-2-211111111-1-1-1-10000000000022-2-200000000-1-11100
χ30222-12222-1222222-2-2-1-1-1-1-12222-1-1-1-1-1-10011-2-2-2-211111111-1-1-1-100000000000-2-2220000000011-1-100222-12222-1222222-2-2-1-1-1-1-12222-1-1-1-1-1-10011-2-2-2-211111111-1-1-1-100000000000-2-2220000000011-1-100
χ3122-222-2222-2-2-2-22200-22-22222-2-2-2-2-2-2220000000000000000-2-222000000000000000000022-2-200000022-222-2222-2-2-2-22200-22-22222-2-2-2-2-2-2220000000000000000-2-222000000000000000000022-2-2000000
χ3222-222-2222-2-2-2-22200-22-22222-2-2-2-2-2-2220000000000000000-2-2220000000000000000000-2-22200000022-222-2222-2-2-2-22200-22-22222-2-2-2-2-2-2220000000000000000-2-2220000000000000000000-2-222000000
χ3322-22-22−1−52−1+5221+521+521−521−52−1−52−1+522-2-2-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52222-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+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+5221+521+521−521−52−1−52−1+522-2-2-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52222-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+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+5221+521+521−521−52−1−52−1+522-2-2-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52-2-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+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+5221+521+521−521−52−1−52−1+522-2-2-22−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1+52-2-22-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+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+2544ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ92−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ1162+252−25000001+51−50000−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ116−1−5−1+50000000000000000000000000000000000000000000000000-8804002+252−25-4−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ924ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ116−2−25−2+2500000−1−5−1+500002ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ1161+51−50000000000000000000000000000000000000000000000000
χ1618-80-400−2+25−2−2544ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1164ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ922−252+25000001−51+50000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−1+5−1−50000000000000000000000000000000000000000000000000-8804002−252+25-4−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ92−2+25−2−2500000−1+5−1−500002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ921−51+50000000000000000000000000000000000000000000000000
χ1628-80-400−2+25−2−254−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ922−252+25000001−51+500002ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−1+5−1−50000000000000000000000000000000000000000000000000-8804002−252+25-44ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1164ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ92−2+25−2−2500000−1+5−1−50000−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ921−51+50000000000000000000000000000000000000000000000000

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