Finite Group Databasebeta

← Group #14417964

Character table — Group #14417964

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size1111222222222222224444444444444444888888888888888888121212121212121212121212202020202020202024242424303030304040606011112222222222222244444444444444448888888888888888881212121212121212121212122020202020202020242424243030303040406060
order124423455610101212202020202461010121515202030306060606061010122020303030303030606060606060248840404040404040404488121212121010202088882424882244264101061010121220202020246101012303020203030606060606101012202030303030303060606060606024884040404040404040448812121212101020208888242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111111111111111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111
χ6111111111111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1111111111111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1
χ7111111111111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1111111111111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1
χ8111111111111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-111111111111111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ911-1-1-11111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1i−ii−iii−i−i11-1-1ii−i−ii−ii−i11-1-1-11111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1i−ii−iii−i−i11-1-1ii−i−ii−ii−i
χ1011-1-1-11111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1−ii−ii−i−iii11-1-1−i−iii−ii−ii11-1-1-11111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-11-11-11111-1-1-1-1−ii−ii−i−iii11-1-1−i−iii−ii−ii
χ1111-1-1-11111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111i−ii−iii−i−i-1-111−i−iiii−i−ii11-1-1-11111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111i−ii−iii−i−i-1-111−i−iiii−i−ii
χ1211-1-1-11111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111−ii−ii−i−iii-1-111ii−i−i−iii−i11-1-1-11111111-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1111-1-1-1-1-1111111-1-1-1-1-11-11-1-1-1-11111−ii−ii−i−iii-1-111ii−i−i−iii−i
χ1311-1-1-11111111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-1-1-11111i−i−iiii−i−i11-1-1−i−iii−iii−i11-1-1-11111111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-1-1-11111i−i−iiii−i−i11-1-1−i−iii−iii−i
χ1411-1-1-11111111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-1-1-11111−iii−i−i−iii11-1-1ii−i−ii−i−ii11-1-1-11111111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-11111111-1-11-1-1-1-11111−iii−i−i−iii11-1-1ii−i−ii−i−ii
χ1511-1-1-11111111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-111-11111-1-1-1-1i−i−iiii−i−i-1-111ii−i−i−ii−ii11-1-1-11111111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-111-11111-1-1-1-1i−i−iiii−i−i-1-111ii−i−i−ii−ii
χ1611-1-1-11111111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-111-11111-1-1-1-1−iii−i−i−iii-1-111−i−iiii−ii−i11-1-1-11111111-1-1-1-1-1-1-11-1-1-11111111-1-1-1-1-1-1-1111-1-1-1-1-1-1111111-111-11111-1-1-1-1−iii−i−i−iii-1-111−i−iiii−ii−i
χ172222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+522−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52000000002222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+522−1−52−1+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+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+5200000000
χ182222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+522−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−52000000002222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+522−1−52−1+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+52-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−5200000000
χ192222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+52-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−5222-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52000000002222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+52-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−5222-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+5200000000
χ202222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+52-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−52000000002222222−1−52−1+522−1−52−1+5222−1−52−1−52−1+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+52-21+521−52-21+521−52−1−52−1+521+521+521−521−52−1−52−1+521+521+521−521−52-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−5200000000
χ212222222−1+52−1−522−1+52−1−5222−1+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+52−1−52−1−522−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52000000002222222−1+52−1−522−1+52−1−5222−1+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+52−1−52−1−522−1+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+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−5200000000
χ222222222−1+52−1−522−1+52−1−5222−1+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+52−1−52−1−522−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+52000000002222222−1+52−1−522−1+52−1−5222−1+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+52−1−52−1−522−1+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+52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+5200000000
χ232222222−1+52−1−522−1+52−1−5222−1+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+52−1−52−1−52-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+5222-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52000000002222222−1+52−1−522−1+52−1−5222−1+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+52−1−52−1−52-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+5222-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−5200000000
χ242222222−1+52−1−522−1+52−1−5222−1+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+52−1−52−1−52-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+52000000002222222−1+52−1−522−1+52−1−5222−1+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+52−1−52−1−52-21−521+52-21−521+52−1+52−1−521−521−521+521+52−1+52−1−521−521−521+521+52-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+5200000000
χ2522222-1222-122-1-1222222-122-1-1-122-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-100000000-1-10022222-1222-122-1-1222222-122-1-1-122-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-10000000000002222-1-1-1-100000000-1-100
χ2622222-1222-122-1-1222222-122-1-1-122-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-2111100000000110022222-1222-122-1-1222222-122-1-1-122-1-1-1-1-1-1-122-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2-2-21111000000001100
χ2722222-1222-122-1-12222-2-2-122-1-1-122-1-1-1-1-1-11-2-21-2-2-1-11111-1-1111100000000000022-2-2-1-1-1-100000000110022222-1222-122-1-12222-2-2-122-1-1-122-1-1-1-1-1-11-2-21-2-2-1-11111-1-1111100000000000022-2-2-1-1-1-1000000001100
χ2822222-1222-122-1-12222-2-2-122-1-1-122-1-1-1-1-1-11-2-21-2-2-1-11111-1-11111000000000000-2-222111100000000-1-10022222-1222-122-1-12222-2-2-122-1-1-122-1-1-1-1-1-11-2-21-2-2-1-11111-1-11111000000000000-2-222111100000000-1-100
χ292222-22-22222222222200-2-2-2-222-2-2222222000000-2-20000-2-200000000000000000000000000002-22-200002222-22-22222222222200-2-2-2-222-2-2222222000000-2-20000-2-200000000000000000000000000002-22-20000
χ302222-22-22222222222200-2-2-2-222-2-2222222000000-2-20000-2-20000000000000000000000000000-22-2200002222-22-22222222222200-2-2-2-222-2-2222222000000-2-20000-2-20000000000000000000000000000-22-220000
χ3122-2-222-222222-2-2-2-2-2-200222-222-2-222-2-2-2-2000000220000-2-200000000000000000000000000002i−2i−2i2i000022-2-222-222222-2-2-2-2-2-200222-222-2-222-2-2-2-2000000220000-2-200000000000000000000000000002i−2i−2i2i0000
χ3222-2-222-222222-2-2-2-2-2-200222-222-2-222-2-2-2-2000000220000-2-20000000000000000000000000000−2i2i2i−2i000022-2-222-222222-2-2-2-2-2-200222-222-2-222-2-2-2-2000000220000-2-20000000000000000000000000000−2i2i2i−2i0000
χ3322-2-2-222−1−52−1+522−1−52−1+52-2-21+521+521−521−522-2-21+521−522−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−520000000022-2-2-222−1−52−1+522−1−52−1+52-2-21+521+521−521−522-2-21+521−522−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−522−1−52−1+52-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1+521+521+521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−5200000000
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χ1688-8−8i8i0-40−2+25−2−2542−252+254i−4i4ζ14+4ζ46+4ζ86+4ζ94−4ζ14−4ζ46−4ζ86−4ζ944ζ22+4ζ38+4ζ62+4ζ118−4ζ22−4ζ38−4ζ62−4ζ1180000001−51+500−1+5−1−5−2ζ14−2ζ46−2ζ86−2ζ942ζ14+2ζ46+2ζ86+2ζ94−2ζ22−2ζ38−2ζ62−2ζ1182ζ22+2ζ38+2ζ62+2ζ11800000000000000000000000000000000000000000000000000-888i−8i0402−252+25-4−2+25−2−25−4i4i−4ζ14−4ζ46−4ζ86−4ζ944ζ14+4ζ46+4ζ86+4ζ94−4ζ22−4ζ38−4ζ62−4ζ1184ζ22+4ζ38+4ζ62+4ζ118000000−1+5−1−5001−51+52ζ14+2ζ46+2ζ86+2ζ94−2ζ14−2ζ46−2ζ86−2ζ942ζ22+2ζ38+2ζ62+2ζ118−2ζ22−2ζ38−2ζ62−2ζ11800000000000000000000000000000000000000000000000000

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