Finite Group Databasebeta

← Group #14423536

Character table — Group #14423536

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222224444444444444444888888888888888888121212121212121212122020202020202424242424303040404060606011112222222222222244444444444444448888888888888888881212121212121212121220202020202024242424243030404040606060
order12223445566610101010101022121215152020202030303030303066101010103030303030303030606060608840404040404040408824242424420202020444121224422226441010666101010101010221212303020202020303030303030661010101030303030303030306060606088404040404040404088242424244202020204441212244
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
χ5111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-111-1-1-11-1-1111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-111-1-1-11-1-1
χ6111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ7111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-111
χ8111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1
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+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+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+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+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+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+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+521−521−521+521+521+521+521−521−521−521−52−1−52−1−52−1+52−1+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+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222−1+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+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−5222−1+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+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+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+521−521−521−521−521+521+521+521+52−1+52−1+52−1−52−1−52-2-21−521−521−521−521+521+521+521+520000002−1+52−1+52−1−52−1−5200000000
χ1722222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-200000000000000000000022000-20022222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-200000000000000000000022000-200
χ1822222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-2000000000000000000000-2-200020022222-2-22222222222200-2-222-2-2-2-222222200000000000000-2-2-2-2000000000000000000000-2-2000200
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
χ212222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-211111111-1-1-1-1000000000022-1-1-1-10000000-2110002222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-211111111-1-1-1-1000000000022-1-1-1-10000000-211000
χ222222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-211111111-1-1-1-10000000000-2-2111100000002-1-10002222-12222-1-1-1222222-2-2-1-1-1-12222-1-1-1-1-1-111-2-2-2-211111111-1-1-1-10000000000-2-2111100000002-1-1000
χ232-22-2200222-2-2-2-2-2-22200002200002-22-2-2-20000000000000000002−222−2−222−2−2−i2i2−i2−i2i2i2000002i−2i0000002-22-2200222-2-2-2-2-2-22200002200002-22-2-2-20000000000000000002−222−2−222−2−2−i2i2−i2−i2i2i2000002i−2i000000
χ242-22-2200222-2-2-2-2-2-22200002200002-22-2-2-20000000000000000002−222−2−222−2−2i2−i2i2i2−i2−i200000−2i2i0000002-22-2200222-2-2-2-2-2-22200002200002-22-2-2-20000000000000000002−222−2−222−2−2i2−i2i2i2−i2−i200000−2i2i000000
χ252-22-2200222-2-2-2-2-2-22200002200002-22-2-2-2000000000000000000−22−2−222−2−222−i2i2−i2−i2i2i200000−2i2i0000002-22-2200222-2-2-2-2-2-22200002200002-22-2-2-2000000000000000000−22−2−222−2−222−i2i2−i2−i2i2i200000−2i2i000000
χ262-22-2200222-2-2-2-2-2-22200002200002-22-2-2-2000000000000000000−22−2−222−2−222i2−i2i2i2−i2−i2000002i−2i0000002-22-2200222-2-2-2-2-2-22200002200002-22-2-2-2000000000000000000−22−2−222−2−222i2−i2i2i2−i2−i2000002i−2i000000
χ272-2-2222-222-2-22-2-222-2-2002-222-2-222-2-2-2-222000000000000002-22-20000000000000000000000000002-22-2-2222-222-2-22-2-222-2-2002-222-2-222-2-2-2-222000000000000002-22-20000000000000000000000000002-2
χ282-2-2222-222-2-22-2-222-2-2002-222-2-222-2-2-2-222000000000000002-22-2000000000000000000000000000-222-2-2222-222-2-22-2-222-2-2002-222-2-222-2-2-2-222000000000000002-22-2000000000000000000000000000-22
χ292-2-222-2222-2-22-2-222-2-22-2-222222-2-2-2-2-2-2222-22-22-222-2-222-2-2-22-22000000000000000000000000000002-2-222-2222-2-22-2-222-2-22-2-222222-2-2-2-2-2-2222-22-22-222-2-222-2-2-22-2200000000000000000000000000000
χ302-2-222-2222-2-22-2-222-2-2-22-222222-2-2-2-2-2-222-22-22-22-2-222-2-222-22-22000000000000000000000000000002-2-222-2222-2-22-2-222-2-2-22-222222-2-2-2-2-2-222-22-22-22-2-222-2-222-22-2200000000000000000000000000000
χ312-2-222-22−1−52−1+52-2-221+521−52−1−52−1+521+521−522-2-22−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+522-2−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−521+52−1−521−52−1+5200−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ940000000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94000000002-2-222-22−1−52−1+52-2-221+521−52−1−52−1+521+521−522-2-22−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1+522-2−1−521+52−1+521−52−1−52−1−521+521+52−1+52−1+521−521−521+52−1−521−52−1+5200−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ94ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ940000000−ζ22+ζ38−ζ62+ζ118ζ22−ζ38+ζ62−ζ118ζ14−ζ46−ζ86+ζ94−ζ14+ζ46+ζ86−ζ9400000000
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χ1494-4-4444-4−1+5−1−5-4-441−51+5−1+5−1−51−51+5004-4−1+5−1−51−51+5−1+5−1−51−51−51+51+5−1+5−1−500000000000000−1+51−5−1−51+500000000000000000000000000000-444-4-4-441−51+544-4−1+5−1−51−51+5−1+5−1−500-441−51+5−1+5−1−51−51+5−1+5−1+5−1−5−1−51−51+5000000000000001−5−1+51+5−1−500000000000000000000000000000
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χ1618-88-8-400−2−25−2+25-4442+252−252+252−25−2−25−2+2500001+51−500001+5−1−51−5−1+5−1−5−1+500000000000000000000000000000000000000000000000-88-884002+252−254-4-4−2−25−2+25−2−25−2+252+252−250000−1−5−1+50000−1−51+5−1+51−51+51−500000000000000000000000000000000000000000000000
χ1628-88-8-400−2+25−2−25-4442−252+252−252+25−2+25−2−2500001−51+500001−5−1+51+5−1−5−1+5−1−500000000000000000000000000000000000000000000000-88-884002−252+254-4-4−2+25−2−25−2+25−2−252−252+250000−1+5−1−50000−1+51−5−1−51+51−51+500000000000000000000000000000000000000000000000

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