Finite Group Databasebeta

← Group #14478603

Character table — Group #14478603

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size112222222222222224444444444444444444444444444444444444444444444888888888888888888888888888888888242424242424242424242424242424242424242430303030404040404040404040404040606060606060
order122223444455688101066688810101010101012121212151520202020202020202424303040404040606060601201201201201201201201202424243030303030304040404040406060606060601201201201201201201201201201201201202444101010102020202020202020202020201616161622246666661212161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ5111-1-111-1-1111111111-1-11-1-111-1-1-1-11-1-111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-11111-1-1-1-1
χ6111-1-111-1-1111111111-1-11-1-111-1-1-1-11-1-111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11111-1-1-1-11111
χ7111-1-111-1-1111111111-1-11-1-111-1-1-1-11-1-111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-111-1-1-11111-1-111-1-1-1-1
χ8111-1-111-1-1111111111-1-11-1-111-1-1-1-11-1-111111-1-1-1-111111111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-1111-1-1-1-111-1-11111
χ911-11-11-11-111111111-11-1-11-1-1-111-1-1-11-1111-1-111-1-11111111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-11111-11-11-1-111-1-111-1-111-1-1
χ1011-11-11-11-111111111-11-1-11-1-1-111-1-1-11-1111-1-111-1-11111111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-11-11-111-1-111-1-111-1-111
χ1111-11-11-11-111111111-11-1-11-1-1-111-1-1-11-1111-1-111-1-11111111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111111-11-111-1-111-1-1-1-111-1-1
χ1211-11-11-11-111111111-11-1-11-1-1-111-1-1-11-1111-1-111-1-11111111111111111111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-11-11-1-111-1-11111-1-111
χ1311-1-111-1-1111111111-1-11-1-11-1-1-1-111-1-11111-1-1-1-1111111111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-111
χ1411-1-111-1-1111111111-1-11-1-11-1-1-1-111-1-11111-1-1-1-1111111111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1
χ1511-1-111-1-1111111111-1-11-1-11-1-1-1-111-1-11111-1-1-1-1111111111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111
χ1611-1-111-1-1111111111-1-11-1-11-1-1-1-111-1-11111-1-1-1-1111111111111111111111111-1-11-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1
χ172222222222222-2-222222-2-2-222222222222222222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000
χ182222222222−1−52−1+52222−1−52−1+52222222−1−52−1+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+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+52−1+52−1+52222−1−52−1+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+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
χ192222222222−1−52−1+52222−1−52−1+52222222−1−52−1+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+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+52−1+52−1+52222−1−52−1+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+52−1−52−1+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+521−521−521+521+521−521−521+521+521−521−520000000000000000000000
χ202222222222−1−52−1+522-2-2−1−52−1+52222-2-2-2−1−52−1+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+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−520000−ζ56+ζ104−ζ136+ζ184ζ56−ζ104+ζ136−ζ184ζ8+ζ88−ζ152−ζ232−ζ8−ζ88+ζ152+ζ232−ζ56+ζ104−ζ136+ζ184ζ56−ζ104+ζ136−ζ184ζ8+ζ88−ζ152−ζ232−ζ8−ζ88+ζ152+ζ232−ζ56+ζ104−ζ136+ζ184ζ56−ζ104+ζ136−ζ184ζ8+ζ88−ζ152−ζ232−ζ8−ζ88+ζ152+ζ232−ζ56+ζ104−ζ136+ζ184ζ56−ζ104+ζ136−ζ184ζ8+ζ88−ζ152−ζ232−ζ8−ζ88+ζ152+ζ2320000000000000000000000
χ212222222222−1−52−1+522-2-2−1−52−1+52222-2-2-2−1−52−1+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+52-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2-2−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−520000ζ56−ζ104+ζ136−ζ184−ζ56+ζ104−ζ136+ζ184−ζ8−ζ88+ζ152+ζ232ζ8+ζ88−ζ152−ζ232ζ56−ζ104+ζ136−ζ184−ζ56+ζ104−ζ136+ζ184−ζ8−ζ88+ζ152+ζ232ζ8+ζ88−ζ152−ζ232ζ56−ζ104+ζ136−ζ184−ζ56+ζ104−ζ136+ζ184−ζ8−ζ88+ζ152+ζ232ζ8+ζ88−ζ152−ζ232ζ56−ζ104+ζ136−ζ184−ζ56+ζ104−ζ136+ζ184−ζ8−ζ88+ζ152+ζ232ζ8+ζ88−ζ152−ζ2320000000000000000000000
χ222222222222−1+52−1−52222−1+52−1−52222222−1+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+52−1−5222−1+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+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000000000
χ232222222222−1+52−1−52222−1+52−1−52222222−1+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+52−1−5222−1+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+52−1−52−1−52−1−52−1−52222−1+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+52−1−52−1+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+521−521−521+521+521−521−521+521+520000000000000000000000
χ242222222222−1+52−1−522-2-2−1+52−1−52222-2-2-2−1+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+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+520000ζ8+ζ88−ζ152−ζ232−ζ8−ζ88+ζ152+ζ232ζ56−ζ104+ζ136−ζ184−ζ56+ζ104−ζ136+ζ184ζ8+ζ88−ζ152−ζ232−ζ8−ζ88+ζ152+ζ232ζ56−ζ104+ζ136−ζ184−ζ56+ζ104−ζ136+ζ184ζ8+ζ88−ζ152−ζ232−ζ8−ζ88+ζ152+ζ232ζ56−ζ104+ζ136−ζ184−ζ56+ζ104−ζ136+ζ184ζ8+ζ88−ζ152−ζ232−ζ8−ζ88+ζ152+ζ232ζ56−ζ104+ζ136−ζ184−ζ56+ζ104−ζ136+ζ1840000000000000000000000
χ252222222222−1+52−1−522-2-2−1+52−1−52222-2-2-2−1+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+52−1−52-2-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2-2−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+520000−ζ8−ζ88+ζ152+ζ232ζ8+ζ88−ζ152−ζ232−ζ56+ζ104−ζ136+ζ184ζ56−ζ104+ζ136−ζ184−ζ8−ζ88+ζ152+ζ232ζ8+ζ88−ζ152−ζ232−ζ56+ζ104−ζ136+ζ184ζ56−ζ104+ζ136−ζ184−ζ8−ζ88+ζ152+ζ232ζ8+ζ88−ζ152−ζ232−ζ56+ζ104−ζ136+ζ184ζ56−ζ104+ζ136−ζ184−ζ8−ζ88+ζ152+ζ232ζ8+ζ88−ζ152−ζ232−ζ56+ζ104−ζ136+ζ184ζ56−ζ104+ζ136−ζ1840000000000000000000000
χ2622222-1222222-12222-1-1-1222222222-1-1-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-1000000
χ2722222-1222222-12222-1-1-1222222222-1-1-1-1-1-122222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-211111111000000
χ2822222-1222222-1-2-222-1-1-1-2-2-2222222-1-1-1-1-1-12222222211-1-1-2-2-2-2-1-1-1-111111111111-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i3000000
χ2922222-1222222-1-2-222-1-1-1-2-2-2222222-1-1-1-1-1-12222222211-1-1-2-2-2-2-1-1-1-111111111111-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-1-1-11111111111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i3000000
χ302222-22-2-22-2222002222-20002222-2-2-2-22-222-2-2-2-222-2-200220000-2-2-2-2000000000002222-2-2000000-2-2-2-2220000000000000000000000000000000022−2−20000000000002−22−22−2
χ312222-22-2-22-2222002222-20002222-2-2-2-22-222-2-2-2-222-2-200220000-2-2-2-2000000000002222-2-2000000-2-2-2-22200000000000000000000000000000000−2−222000000000000−22−22−22
χ32222-222-22-2-222200222-2200022-2-222-22-2-222-2-222-2-2-2-200220000-2-2-2-20000000000022-2-222000000-2-222-2-20000000000000000000000000000000022−2−20000000000002−2−22−22
χ33222-222-22-2-222200222-2200022-2-222-22-2-222-2-222-2-2-2-200220000-2-2-2-20000000000022-2-222000000-2-222-2-200000000000000000000000000000000−2−222000000000000−222−22−2
χ34222-2-222-2-22222-2-2222-2-2-22222-2-2-2-22-2-222222-2-2-2-222-2-222-2-2-2-22222-2-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000
χ35222-2-222-2-22−1−52−1+52222−1−52−1+522-2-22-2-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+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+52−1+52−1+522-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000000000000000000
χ36222-2-222-2-22−1−52−1+52222−1−52−1+522-2-22-2-2−1−52−1+521+521−521+521−522-2-22−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1+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+52−1+52−1+522-2-2−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000000000
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Here ζ is a primitive root of unity of order 240 (ζ240 = 1); i = ζ60.