Finite Group Databasebeta

← Group #358313

Character table — Group #358313

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size11111111111111112222222244444444444444444444444488888888888888881111111111111111222222224444444444444444444444448888888888888888
order12222222222222224444444444444444888888888888888844444444444444442222222222222222444444444444444488888888888888884444444444444444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1
χ911111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i11111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i
χ1011111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii11111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii-1-111−i−iii
χ1111111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii11111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii
χ1211111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i11111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii-1-111−i−iii11-1-1ii−i−i
χ1311111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii11111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii11-1-1−i−iii
χ1411111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i11111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i
χ1511111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i11111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i
χ1611111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii11111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii
χ172222222222222222-2-2-2-2-2-2-2-22222-2-2-2-2000000000000000000000000000000002222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000
χ182222222222222222-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000002222222222222222-2-2-2-2-2-2-2-2-2-2-2-2222200000000000000000000000000000000
χ1922222-2-2-2-2-22-222-2-2-2-2-2222-222i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000022222-2-2-2-2-22-222-2-2-2-2-2222-222i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ2022222-2-2-2-2-22-222-2-2-2-2-2222-22−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000022222-2-2-2-2-22-222-2-2-2-2-2222-22−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
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χ222222-2222-2-2-22-2-2-2-2000000002-22-20000−2−222−2−222−2−222−2−22200000000000000002222-2222-2-2-22-2-2-2-2000000002-22-20000−2−222−2−222−2−222−2−2220000000000000000
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χ242222-2222-2-2-22-2-2-2-200000000-22-220000−2−222−2−22222−2−222−2−200000000000000002222-2222-2-2-22-2-2-2-200000000-22-220000−2−222−2−22222−2−222−2−20000000000000000
χ252222-2-2-2-222-2-2-2-222000000002i−2i−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i200000000000000002222-2-2-2-222-2-2-2-222000000002i−2i−2i2i000022−2−2−2−222i2i2−i2−i2−i2−i2i2i20000000000000000
χ262222-2-2-2-222-2-2-2-222000000002i−2i−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i200000000000000002222-2-2-2-222-2-2-2-222000000002i−2i−2i2i0000−2−22222−2−2−i2−i2i2i2i2i2−i2−i20000000000000000
χ272222-2-2-2-222-2-2-2-22200000000−2i2i2i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i200000000000000002222-2-2-2-222-2-2-2-22200000000−2i2i2i−2i000022−2−2−2−222−i2−i2i2i2i2i2−i2−i20000000000000000
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χ2922-2-2222-22-22-2-2-22-222-222-2-2-200000000000000000000000000002-22-20000000022-2-2222-22-22-2-2-22-222-222-2-2-200000000000000000000000000002-22-200000000
χ3022-2-2222-22-22-2-2-22-222-222-2-2-20000000000000000000000000000-22-220000000022-2-2222-22-22-2-2-22-222-222-2-2-20000000000000000000000000000-22-2200000000
χ3122-2-2222-22-22-2-2-22-2-2-22-2-22220000000000000000000000002i−2i2i−2i00000000000022-2-2222-22-22-2-2-22-2-2-22-2-22220000000000000000000000002i−2i2i−2i000000000000
χ3222-2-2222-22-22-2-2-22-2-2-22-2-2222000000000000000000000000−2i2i−2i2i00000000000022-2-2222-22-22-2-2-22-2-2-22-2-2222000000000000000000000000−2i2i−2i2i000000000000
χ3322-2-22-2-22-2222-2-2-2222-2-2-22-2200000000000000000000000000002i−2i−2i2i0000000022-2-22-2-22-2222-2-2-2222-2-2-22-2200000000000000000000000000002i−2i−2i2i00000000
χ3422-2-22-2-22-2222-2-2-2222-2-2-22-220000000000000000000000000000−2i2i2i−2i0000000022-2-22-2-22-2222-2-2-2222-2-2-22-220000000000000000000000000000−2i2i2i−2i00000000
χ3522-2-22-2-22-2222-2-2-22-2-2222-22-20000000000000000000000002i−2i−2i2i00000000000022-2-22-2-22-2222-2-2-22-2-2222-22-20000000000000000000000002i−2i−2i2i000000000000
χ3622-2-22-2-22-2222-2-2-22-2-2222-22-2000000000000000000000000−2i2i2i−2i00000000000022-2-22-2-22-2222-2-2-22-2-2222-22-2000000000000000000000000−2i2i2i−2i000000000000
χ372-22-222-222-2-2-22-2-220000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000002-22-222-222-2-2-22-2-220000000000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ382-22-222-222-2-2-22-2-220000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000002-22-222-222-2-2-22-2-220000000000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ392-22-222-222-2-2-22-2-22000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i200000000000000002-22-222-222-2-2-22-2-22000000000000-22-22i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ402-22-222-222-2-2-22-2-22000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i200000000000000002-22-222-222-2-2-22-2-22000000000000-22-22−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ412-22-22-22-2-22-222-22-20000000000002i−2i−2i2ii2−i2i2−i2−i2i2−i2i2−22−222−22−200000000000000002-22-22-22-2-22-222-22-20000000000002i−2i−2i2ii2−i2i2−i2−i2i2−i2i2−22−222−22−20000000000000000
χ422-22-22-22-2-22-222-22-20000000000002i−2i−2i2i−i2i2−i2i2i2−i2i2−i22−22−2−22−2200000000000000002-22-22-22-2-22-222-22-20000000000002i−2i−2i2i−i2i2−i2i2i2−i2i2−i22−22−2−22−220000000000000000
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χ442-22-22-22-2-22-222-22-2000000000000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i2−22−222−22−200000000000000002-22-22-22-2-22-222-22-2000000000000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i2−22−222−22−20000000000000000
χ452-22-2-22-22-222-2-222-22-222-2-2-22000000002i−2i−2i2i2i−2i−2i2i0000000000000000000000002-22-2-22-22-222-2-222-22-222-2-2-22000000002i−2i−2i2i2i−2i−2i2i000000000000000000000000
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χ472-22-2-22-22-222-2-222-2-22-2-2222-200000000000000002i−2i−2i2i2i−2i−2i2i00000000000000002-22-2-22-22-222-2-222-2-22-2-2222-200000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ482-22-2-22-22-222-2-222-2-22-2-2222-20000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000002-22-2-22-22-222-2-222-2-22-2-2222-20000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ492-22-2-2-22-22-222-22-222-22-222-2-2000000002i−2i−2i2i−2i2i2i−2i0000000000000000000000002-22-2-2-22-22-222-22-222-22-222-2-2000000002i−2i−2i2i−2i2i2i−2i000000000000000000000000
χ502-22-2-2-22-22-222-22-222-22-222-2-200000000−2i2i2i−2i2i−2i−2i2i0000000000000000000000002-22-2-2-22-22-222-22-222-22-222-2-200000000−2i2i2i−2i2i−2i−2i2i000000000000000000000000
χ512-22-2-2-22-22-222-22-22-22-22-2-22200000000000000002-2-22-222-200000000000000002-22-2-2-22-22-222-22-22-22-22-2-22200000000000000002-2-22-222-20000000000000000
χ522-22-2-2-22-22-222-22-22-22-22-2-2220000000000000000-222-22-2-2200000000000000002-22-2-2-22-22-222-22-22-22-22-2-2220000000000000000-222-22-2-220000000000000000
χ532-2-22-22-2-2-2-2222-2222-2-22-222-20000000000000000000000000000000000002-22-22-2-22-22-2-2-2-2222-2222-2-22-222-20000000000000000000000000000000000002-22-2
χ542-2-22-22-2-2-2-2222-2222-2-22-222-2000000000000000000000000000000000000-22-222-2-22-22-2-2-2-2222-2222-2-22-222-2000000000000000000000000000000000000-22-22
χ552-2-22-22-2-2-2-2222-222-222-22-2-22000000000000000000000000000000002-22-200002-2-22-22-2-2-2-2222-222-222-22-2-22000000000000000000000000000000002-22-20000
χ562-2-22-22-2-2-2-2222-222-222-22-2-2200000000000000000000000000000000-22-2200002-2-22-22-2-2-2-2222-222-222-22-2-2200000000000000000000000000000000-22-220000
χ572-2-22-2-222222-22-2-2-22-2-2-22-2220000000000000000000000000000000000002i−2i−2i2i2-2-22-2-222222-22-2-2-22-2-2-22-2220000000000000000000000000000000000002i−2i−2i2i
χ582-2-22-2-222222-22-2-2-22-2-2-22-222000000000000000000000000000000000000−2i2i2i−2i2-2-22-2-222222-22-2-2-22-2-2-22-222000000000000000000000000000000000000−2i2i2i−2i
χ592-2-22-2-222222-22-2-2-2-2222-22-2-2000000000000000000000000000000002-2-2200002-2-22-2-222222-22-2-2-2-2222-22-2-2000000000000000000000000000000002-2-220000
χ602-2-22-2-222222-22-2-2-2-2222-22-2-200000000000000000000000000000000-222-200002-2-22-2-222222-22-2-2-2-2222-22-2-200000000000000000000000000000000-222-20000
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χ651111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ66111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ6711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ6811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ69111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ70111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ71111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ72111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ7311111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−i11-1-1ii−i−i11-1-1ii−i−i-1-1-1-1-111111-11-1-111-1-1-1111-11−i−iii−i−iii-1-1-1-11111−i−i−i−iiiii-1-111−i−iii-1-111−i−iii
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χ7511111-1-1-1-1-11-111-1-1111-1-1-11-1ii−i−iii−i−i-1-1-1-11111−i−i−i−iiiii11-1-1ii−i−i-1-111−i−iii-1-1-1-1-111111-11-1-111-1-1-1111-11−i−iii−i−iii1111-1-1-1-1iiii−i−i−i−i-1-111−i−iii11-1-1ii−i−i
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χ7811111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i-1-111ii−i−i-1-1-1-1-111111-11-1-111-1-1-1111-11ii−i−iii−i−i-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii11-1-1−i−iii
χ7911111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i11-1-1−i−iii-1-111ii−i−i-1-1-1-1-111111-11-1-111-1-1-1111-11ii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiii-1-111ii−i−i11-1-1−i−iii
χ8011111-1-1-1-1-11-111-1-1111-1-1-11-1−i−iii−i−iii-1-1-1-11111iiii−i−i−i−i-1-111ii−i−i11-1-1−i−iii-1-1-1-1-111111-11-1-111-1-1-1111-11ii−i−iii−i−i1111-1-1-1-1−i−i−i−iiiii11-1-1−i−iii-1-111ii−i−i
χ812222222222222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2222200000000000000000000000000000000
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χ1212-2-22-2-222222-22-2-2-22-2-2-22-2220000000000000000000000000000000000002i−2i−2i2i-222-222-2-2-2-2-22-2222-2222-22-2-2000000000000000000000000000000000000−2i2i2i−2i
χ1222-2-22-2-222222-22-2-2-22-2-2-22-222000000000000000000000000000000000000−2i2i2i−2i-222-222-2-2-2-2-22-2222-2222-22-2-20000000000000000000000000000000000002i−2i−2i2i
χ1232-2-22-2-222222-22-2-2-2-2222-22-2-2000000000000000000000000000000002-2-220000-222-222-2-2-2-2-22-22222-2-2-22-22200000000000000000000000000000000-222-20000
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χ12644-4-4-4-4-444-4-44444-4000000000000000000000000000000000000000000000000-4-444444-4-444-4-4-4-44000000000000000000000000000000000000000000000000
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χ1284-4-444-444-4-4-4-4-4444000000000000000000000000000000000000000000000000-444-4-44-4-444444-4-4-4000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).