Finite Group Databasebeta

← Group #14430046

Character table — Group #14430046

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222224444444444444444888888888888888888121212121212121212122020202020202424242424303040404060606011112222222222222244444444444444448888888888888888881212121212121212121220202020202024242424243030404040606060
order122234455666101010101010441212151520202020303030303030121220202020606060606060606060606060884040404040404040882424242442020202044412124442222644101066610101010101044121230302020202030303030303012122020202060606060606060606060606088404040404040404088242424244202020204441212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1111
χ5111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-11-1-1111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-111-1-1-11-1-1
χ6111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ7111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111
χ8111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111111111111111-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
χ92222222−1−52−1+52222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−52−1−52−1+52−1+52000000002222222−1−52−1+52222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000002−1−52−1−52−1+52−1+5200000000
χ102222222−1−52−1+52222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521+521+521−521−521−521−52000000-21+521+521−521−52000000002222222−1−52−1+52222−1−52−1+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+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521+521+521−521−521−521−52000000-21+521+521−521−5200000000
χ112222222−1−52−1+52222−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+521+521−521−52000000002222222−1−52−1+52222−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000000-21+521+521−521−5200000000
χ122222222−1−52−1+52222−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−520000002−1−52−1−52−1+52−1+52000000002222222−1−52−1+52222−1−52−1+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+52-2-21+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-21+521+521+521+521−521−521−521−520000002−1−52−1−52−1+52−1+5200000000
χ132222222−1+52−1−52222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002−1+52−1+52−1−52−1−52000000002222222−1+52−1−52222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000002−1+52−1+52−1−52−1−5200000000
χ142222222−1+52−1−52222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52000000-21−521−521+521+52000000002222222−1+52−1−52222−1+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+52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+52000000-21−521−521+521+5200000000
χ152222222−1+52−1−52222−1+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+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-21−521−521+521+52000000002222222−1+52−1−52222−1+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+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000000-21−521−521+521+5200000000
χ162222222−1+52−1−52222−1+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+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+520000002−1+52−1+52−1−52−1−52000000002222222−1+52−1−52222−1+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+52−1−52-2-21−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+520000002−1+52−1+52−1−52−1−5200000000
χ1722222-2-22222222222200-2-222-2-2-2-2222222000000-2-2-2-20000000000000000000000000000022000-20022222-2-22222222222200-2-222-2-2-2-2222222000000-2-2-2-20000000000000000000000000000022000-200
χ1822222-2-22222222222200-2-222-2-2-2-2222222000000-2-2-2-200000000000000000000000000000-2-200020022222-2-22222222222200-2-222-2-2-2-2222222000000-2-2-2-200000000000000000000000000000-2-2000200
χ192222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-100000002-1-10002222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000022-1-1-1-100000002-1-1000
χ202222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-211110000000-2110002222-12222-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-211110000000-211000
χ212222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-2-1-1-1-111111111000000000022-1-1-1-10000000-2110002222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-2-1-1-1-111111111000000000022-1-1-1-10000000-211000
χ222222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-2-1-1-1-1111111110000000000-2-2111100000002-1-10002222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-2-1-1-1-1111111110000000000-2-2111100000002-1-1000
χ2322-2-222-222-22-2-2-222-2-22-22-22222-2-2-2-2-2-2222-22-22-22-22-222-2-222-2-20000000000000000000000000000022-2-222-222-22-2-2-222-2-22-22-22222-2-2-2-2-2-2222-22-22-22-22-222-2-222-2-200000000000000000000000000000
χ2422-2-222-222-22-2-2-222-2-2-222-22222-2-2-2-2-2-222-22-22-222-22-2-2-222-2-2220000000000000000000000000000022-2-222-222-22-2-2-222-2-2-222-22222-2-2-2-2-2-222-22-22-222-22-2-2-222-2-22200000000000000000000000000000
χ2522-2-222-2−1−52−1+52-22-21+521−52−1−52−1+521+521−522-22-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+522-2−1−521+52−1+521−52−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−5200−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−ζ940000000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ940000000022-2-222-2−1−52−1+52-22-21+521−52−1−52−1+521+521−522-22-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+522-2−1−521+52−1+521−52−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−5200−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−ζ940000000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ9400000000
χ2622-2-222-2−1−52−1+52-22-21+521−52−1−52−1+521+521−522-22-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+522-2−1−521+52−1+521−52−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−5200ζ22−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+ζ940000000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ940000000022-2-222-2−1−52−1+52-22-21+521−52−1−52−1+521+521−522-22-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+522-2−1−521+52−1+521−52−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−5200ζ22−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+ζ940000000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ9400000000
χ2722-2-222-2−1−52−1+52-22-21+521−52−1−52−1+521+521−52-222-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+52-221+52−1−521−52−1+52−1−521+52−1+521−521+521+52−1−52−1−521−521−52−1+52−1+5200−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−ζ940000000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ940000000022-2-222-2−1−52−1+52-22-21+521−52−1−52−1+521+521−52-222-2−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+52-221+52−1−521−52−1+52−1−521+52−1+521−521+521+52−1−52−1−521−521−52−1+52−1+5200−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−ζ940000000ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ9400000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.